Exponential distribution applications. [14] extended the generalize .
Exponential distribution applications Since it is the most attractive generalisation of the exponential distribution, the EE model has received increased attention and many authors have studied its various properties and also proposed comparisons with other distributions. The introduced model is right tailed increasing The Weibull distribution is named after its originator, the Swedish physicist Waloddi Weibull, who in 1939 used it to model the distribution of the breaking strength of materials and in 1951 for a wide range of other applications . Bhat1, Sofi Mudasir2* and S. Let X be a continuous random random variable having the exponential distribution function as x G(x) = 1 − e− θ ; x ∈ [0, ∞), (3) where θ ∈ R+ is the scale parameters. In this paper, an attribute control chart using Weibull-exponential distribution is developed. 6 0. Discussions include exponential regression, models and applications of mixtures, and applications to survival analysis. PARETO -E XPONENTIAL D ISTRIBUTION Pareto-Exponential distribution, a member of Pareto-X family is defined here. II THE BURR X-EXPONENTIAL DISTRIBUTION. Alzaatreh et al. It is based on a parametric mixture of the exponential and weighted exponential distributions, with a mixture weight depending on a Jul 18, 2023 · The exponential distribution has broad applications in various fields due to its ability to model the time between events in a Poisson process. In this Oct 31, 2020 · Request PDF | On Extended Exponential Distribution: Properties and Applications In Tracking the Pandemic Covid-19 | This article reviews and discusses an extended form of exponential model distribution then inserting (1) and (2) into (3) above, then pdf of the Exponential-Exponential distribution is given as g x e( ) ,O2 O2x x!!0, 0O (4) 2. They make it possible to create statistical models that are relatively easy to manage. A lifetime distribution with decreasing Sep 1, 2022 · Key words: exponential distribution, Xgamma distri bution, Lindley distribution, quantile function stochastic ordering, maximum-like lihood estimation, XLindley distribution. , a process in which events occur continuously and independently at a constant average rate; the distance parameter could be any Sep 14, 2019 · The Exponential Distribution is the probability distribution of the time between events in a Poisson point process, i. Commun. For example, the amount of time (beginning now) until an earthquake occurs has an exponential distribution. The inverted exponential (IEx) distribution is defined b y [17] with probability density function (pdf) and cumula- verse exponential distribution. One of the widely used continuous distribution is the exponential distribution. Here are some typical applications: Reliability Engineering and Failure Analysis The exponential distribution is used to model the lifespan of objects like radioactive atoms or electronic components. [], Gilchrist [], and Seber []. In this work, a generalization of the classical exponential distribution under a neutrosophic environment is scarcely presented. The following graph shows the values for λ=1 and λ=2. This distribution can be used Jan 12, 2016 · This in turn means that the existing weighted exponential distribution proposed by Gupta and Kundu (2009) is more flexible than the new weighted exponential distribution based on the applications provided in this research. Aug 16, 2021 · The exponential distribution is a right-skewed continuous probability distribution that models variables in which small values occur more frequently than higher values. B, 34 (1972), pp. The model parameters are estimated using the maximum product spacing and maximum likelihood estimation methods. Nov 3, 2020 · In probabilistic statistics, the exponential distribution is the probability distribution of the time between events in a Poisson point process where events occur continuously and independently at a constant average rate. Jul 6, 2017 · The applications of Exponential Distribution have been widespread, which include models to determine bout criteria for analysis of animal behaviour ; design rainfall estimation in the Coast of Chiapas ; analysis of Los Angeles rainfall data ; software reliability growth models for vital quality metrics ; models for episode peak and duration for ecohydroclimatic applications ; estimating mean Mixture of Exponential and Weighted Exponential Distribution: Properties and Applications A. , 2 022). Meanwhile, the proposed new weighted exponential distribution is more tractable. Some well-known mathematical properties; moments, probability weighted moments, mean deviation, quantile function, Renyi entropy of TIIHLE distribution are investigated. It is a special case of the gamma distribution. Jowett (1958) discussed the exponential distribution and its applications[13], while Lukacs (1960) explored characteristic functions [14]. The exponential distribution, known for its utility and memoryless property, has been studied extensively. For proportion modeling, a flexible family of two-parameter distribution functions associated with the exponential densities and properties of the Burr X-Exponential distribution are derived. Jul 6, 2017 · e applications o f Exponential Distribution have been. com Available online at: www. This volume provides a systematic and comprehensive synthesis of the diverse literature on the theory and applications of the expon Mar 2, 2022 · Intervened Exponential Distribution: Properties and Applications. The understudy distribution is named “Poisson Moment Exponential distribution”. Exponential is Memoryless. Numerical Applications The ESE distribution is applied to two data sets and comparisons are made with the three parameter generalized inverted generalized exponential distribution (Oguntunde and Adejumo Agu Friday Ikechukwu et al. The exponential distribution is often concerned with the amount of time until some specific event occurs. New generalized exponential distribution By using the exponentiated-G and EG families, we proposed a three-parameter new generalized (NG) class of distributions as F(x) = H(x) [1 H (x) ]; (2. That means that the occurrence (or lack of occurrence) of events in the past does not change our belief as to how long until the next occurrence. (Chaudhary & Ku-mar, 2022) have also created half Cauchy modified exponential distribution using half Cauchy family of distribution as a baseline distribution. It is a unimodal distribution where small values have relatively high probabilities, which consistently decline as data values increase. Nov 14, 2023 · Gul and Mohsin 2021 developed a new modified form of renowned “Half logistic” distribution introduced by Balakrishnan (1991) and named it half logistic-truncated exponential distribution (HL-TEXPD). A random variable X has the HC distribution with scale parameter σ > 0, if its cumulative The Extended Exponential Distribution and Its Applications Ahmed Z. is a scale parameter . Jan 1, 2021 · Adewara et al. May 5, 2021 · For example, (i) the log-normal, gamma, and beta distributions do not have closed-form expressions for the cumulative distribution function (cdf) and the computation of many mathematical properties becomes difficult, (ii) the Pareto distribution, due to the monotonically decreasing shape of the density, does not provide a reasonably good fit for many applications, and (iii) the Weibull The exponential distribution generally does not provide a reasonable parametric fit for such practical applications. Feb 21, 2022 · This paper study on a distribution, which is a mixture of Exponential and Gamma (3) distribution, which have bathtub shaped failure rate function. Ghitany et al. 1080/09720510. Sep 28, 2021 · The exponential distribution has always been prominent in various disciplines because of its wide range of applications. May 1, 2023 · Download Citation | On May 1, 2023, A. 2 days ago · Wikipedia: Exponential Distribution – A comprehensive overview of the exponential distribution, including its properties and applications. behind the exponential distribution. bution having a cluster of applications in reliability theory, survival analysis, engineering sciences, economics, physics, May 16, 2018 · The EE distribution is also known as the generalised exponential (GE) distribution in the literature. 475 0. International Journal of Applied Mathematics & Statistics . widespread, which include models to determine bout cri-teria for analys is of animal behav iour [20]; des ign rainfal l. authors. [3] showed that the Lindley distribution can be written as a mixture of a Exponential distribution and a Gamma distribution with shape parameter 2. where; O. Although it has achieved many promising results, it has a set of shortcomings, for example, the decelerated convergence, and provides local optima solution as it Aug 26, 2023 · In this paper, we propose a new four-parameter lifetime distribution called modified generalized linear exponential distribution. al [15] defined Alpha-Power Exponentiated Inverse Rayleigh distribution and its applications to Jun 24, 2024 · Relationship between the Poisson and the Exponential Distribution. Dr. Bakouch 1,2 , T assaddaq Hussain 3 , Marina T oši´ c 4 Mar 1, 2020 · For the two real data sets, this distribution is found to be superior in its ability to sufficiently model the data as compared to the Weibull distribution, Generalized exponential distribution properties and application of the Lindley distribution. The Half-Cauchy (HC) distribution is the folded standard Cauchy distribution around the origin so that positive values are observed. Email: bash0140@gmail. g x xexp OO (6) for . e. Moments, skewness, kurtosis, moment generating Jul 10, 2020 · This article proposes the Gompertz-Alpha power inverted exponential distribution for lifetime processes. This volume provides a systematic and comprehensive synthesis of the diverse literature on the theory and applications of the expon The idea of the OEL family of distribution was generated from exponential logarithmic distribution proposed by Tahmasbi and Rezaei (Citation 2008). The Burr X-Exponential Distribution: Theory and Applications . Some mathematical characteristics are studied, including hazard function, Pth percentile, moment generating function and Shannon entropy. ˜e Weibull distribution, a power transformation of the exponential distribution, was rst studied by Fisher nad t pTpt ei 11 in the context of the limiting distribution of extreme values in a sample. Jan 1, 2018 · The Exponential distribution is memoryless and has a constant failure rate which makes it unsuitable for real life problems. The disadvantage of these models is the impossibility of fitting data of a bimodal nature of incorporating covariates in the Jul 17, 2020 · 2. T. 2021. Sep 27, 2018 · The Extended Exponential Distribution and Its Applications Ahmed Z. In addition, the The two terms used in the exponential distribution graph is lambda (λ)and x. usage has been limited in modeling real li fe situations due to the fact tha t it has a con stant . x!!0, 0O. 1) Further, by using the exponential distribution with unity scale parameter (#= 1) in Eq. Recently, Alzaghal et al. Some of these distributions are the families of distributions that were proposed by Marshall and Olkin and Gupta. Z. A. density function is f(x) = ˆ e x if x 0; 0 if x<0:; is called an exponential random variable Sep 28, 2021 · The exponential distribution has always been prominent in various disciplines because of its wide range of applications. 0 2015), a three parameter generalized Lindley distribution (Nosakhare and Festus 2018) and the two parameter shifted exponential distribution. Its application arise in many areas, in particular communication networks, economics, hydrology, reliability theory, reliability engineering and quality assurance. Simulation study is performed to examine the behaviour Jan 22, 2019 · The exponential distribution is one of the most significant and widely used distribution in statistical practice. It is important to note that the foundational distribution is defined by a set of two parameters, and the newly proposed distribution mirrors this characteristic by also being described by Oct 15, 2024 · Some interesting variants include the two-parameter BH distribution by [3], exponentiated Burr-Hatke (EBH) distribution with its discrete version by [33], logarithmic Burr-Hatke (LBH) distribution by [1], Chen Burr-Hatke exponential (CH-BH) by [2] which very mathematically tractable to lend itself to parametric regression transformation and biomedical applications. 1), We devel-oped new generalized exponential (NGE Oct 1, 2019 · PDF | On Oct 1, 2019, Hameed Jimoh and others published The Gamma Log-Logistic Erlang Truncated Exponential Distribution with Applications | Find, read and cite all the research you need on HALF CAUCHY - EXPONENTIAL DISTRIBUTION literature to overcome the problem of the moments and other useful properties. Afify and Mohamed Zayed Department of Statistics, Mathematics and Insurance Benha University , Egypt and Mohammad Ahsanullah Mar 26, 2021 · The compatibility of the newly developed class is justified through its application in the field of quality control using Weibull-exponential distribution, a special case of the proposed family. ’s Probability Lecture 13 Handout: The Exponential Distribution By Doron Zeilberger Version of Nov. , (2020). There are PLOS ONE Generalized Marshall-Olkin exponentiated exponential Jun 12, 2020 · Besides the applications of Exponential distribution and its attractive properties, its . The author revealed that EE-TED better fit the rainfall data than Erlang-Truncated Exponential (ETE) distribution and other three competing models. We use the new family and develop a new distribution Oct 27, 2022 · Article Review: On the contaminated weighted exponential distribution: Applications to modeling insurance claim data This paper presents two strategies (EM and Bayesian) to estimate the parameters of the Contaminated Weighted Exponential family (CWE) that offers advantages when the distribution of losses presents heavy tails with some outliers. 129-131. They highlighted that the Lindley distribution is a better model than one based on the exponential distribution. Understand the height of gas molecules at static temperature and pressure within a stable gravitational field. Feb 7, 1996 · Genesis Basic Distributional Results and Properties Order Statistics and Their Properties MLEs under Censoring and Truncation and Inference Linear Estimation under Censoring and Inference Reliability Estimation and Applications Inferences under Two-Sample and Multi-Sample Situations Tolerance Limits and Acceptance Sampling Plans Prediction Problems Bayesian Inference and Applications Oct 1, 2022 · This article proposes a new three parameter distribution in the family of the exponential distribution called the alpha power shifted exponential (APOSE) distribution. Further, we explore the asymptotic confidence intervals and bootstrap confidence intervals for the model parameters. This paper introduces a new distribution powered by an exponential Feb 7, 1996 · This volume provides a systematic and comprehensive synthesis of the diverse literature on the theory and applications of the exponential distribution. Oct 23, 2018 · Simulation issues and applications to real data are emphasized. [6] Apr 5, 2022 · shifted exponential distribution and applications, Journal of Statistics and Management Systems, DOI: 10. , a process in which events occur continuously and independently at a constant average rate and it has the key property of being memoryless. 8 1. O ! Ox) The cdf of exponential distribution is given by e. Jun 21, 2023 · Abstract. 1958517 To link to this article: https://doi. Why did we have to invent Exponential Distribution? Exponential distribution is often used to predict the waiting time until the next event occurs, such as a success, failure, or Jun 2, 2024 · Relationship between the Poisson and the Exponential Distribution. In this paper, a novel probability distribution known as the unit extended exponential distribution is introduced, with the extended exponential distribution being put forth as the distribution of reference. The application of exponential distribution is very prominent in censored data. com Abstract Exponential distribution by Nadarajah (2011), Beta Generalized Exponential (BGE) distribution by Souza et al. Journal of the Royal Statistical Society, Ser. Stat Trek: Exponential Distribution – An educational resource providing insights into the mathematical foundations of exponential distribution. 4 H(x) 0. The proposed distribution is a modification of the generalized The applications of Exponential Distribution have been widespread, which include models to determine bout criteria for analysis of animal behaviour ; design rainfall estimation in the Coast of Chiapas ; analysis of Los Angeles rainfall data ; software reliability growth models for vital quality metrics ; models for episode peak and duration for ecohydroclimatic applications ; estimating mean Aug 14, 2010 · This chapter is devoted to the study of exponential distribution, its prop- erties and characterizations, and models which lead to it and illustrate its applications. Exponential distribution. Sep 17, 2016 · This distribution generalizes a number of well-known special lifetime models such as the Weibull, exponential, Rayleigh, modified Rayleigh, modified exponential and exponentiated Weibull Mar 22, 2018 · 1. The exponential probability distribution is useful in describing the time it takes to complete a task. 6543-6557. Sep 19, 2023 · In this article, we have introduced a new probability distribution called Modified Exponentiated Inverted Exponential (MEIE) Distribution. The first four moments about the origin and the mean of this Jun 12, 2024 · The popular modeling process of a proportional sample involves considering a random variable over a range between 0 and 1. Its widespread use underscores the importance of understanding the basic principles of probability distributions in analyzing real-world phenomena. Afify and Mohamed Zayed Department of Statistics, Mathematics and Insurance Benha University, Egypt Mohammad Ahsanullah Department of Management Sciences, Rider University NJ, USA We introduce a new three-parameter extension of the exponential distribution called the odd It should be noted that the exponential distribution, E( ) can be derived from EE( ; ) by setting = 0. Pelumi E. There is an interesting relationship between the exponential distribution and the Poisson distribution. Mathematical properties of proposed distribution are derived and discussed. The exponential distribution is a continuous probability distribution used to model the time elapsed before a given event occurs. The new density function can be expressed as a linear Apr 14, 2021 · There are some generalizations of the classical exponential distribution in the statistical literature that have proven to be helpful in numerous scenarios. A novel simple lifetime distribution with two parameters is proposed in this article. Jan 22, 2019 · The exponential distribution is one of the most significant and widely used distribution in statistical practice. 3, 2017: (Thanks to Jinhua Xu). Chesneau and Agiwal 5 introduced the inverse power Muth distribution. Due to analytical simplicity The application is created to investigate the exponential distribution in R and compare it with the Central Limit Theorem. Our goal is to convert this flexibility between the unit interval and the extended exponential distribution. It possesses several important statistical properties, and yet exhibits great mathematical tractability. We Jan 4, 2021 · PDF | This study introduces a new distribution in the family of generalized exponential distributions generated using the transformed-transformer | Find, read and cite all the research you need Gupta and Kundu (1999) have introduced the generalized exponential (GE) distribution, this extended family can accommodate data with increasing and decreasing failure rate functions, Kus (2007) has introduced the two-parameter exponential Poisson (EP) distribution by compounding exponential distribution with zero truncated However, a greater number of distributions have been extended and developed by adding shape parameter(s) to the cumulative distribution function such distributions include the Inverse Weibull Inverse Exponential distribution by Reference 11, the Alpha Power Exponentiated Inverse Rayleigh distribution by Reference 12, the modified Rayleigh distribution for modeling COVID-19 mortality rates by Apr 20, 2024 · Population-based meta-heuristic optimization algorithms play a vital role in addressing optimization problems. Parameters of the derived distribution are obtained using Dec 25, 2023 · The aim of this article is to define a new flexible statistical model to examine the COVID‐19 data sets that cannot be modeled by the inverse exponential distribution. For example, Exponential Distribution can be used to predict: The amount of time it takes a customer to make a purchase in your store (success) Jun 5, 2023 · Applications of the exponential distribution are: Exponential distributions can be used in biology and medicine to find periods between mutations in a DNA strand. The new model includes the exponential; extended exponential, and $$\\alpha $$ α Feb 21, 2022 · Practitioners in all applied domains value simple and adaptable lifetime distributions. As a parent distribution, (Chaudhary & Kumar, 2021) created the Arctan exponential extension distribution using the exponential extension model. For example, in physics it is often used to measure radioactive decay, in engineering it is used to measure the time associated with receiving a defective part on an assembly line, and in finance it is often used to measure the likelihood of the next default for a Abstract mainly two applications (i) the ability of fitting skewed – In this study, we propose a three-parameter beta inverted exponential distribution which contains generalized inverted exponential and inverted exponential distributions as special sub models. Apr 19, 2022 · In this study, a one-parameter discrete probability distribution is proposed and studied. Ali et. Jan 1, 2023 · One of the most flexible and suitable distributions for characterizing skewed data is the exponential distribution. The beta exponential distribution (Nadarajah and Kotz, [1]), exponenti-ated exponential distribution (Gupta and Kundu, [2]), generalized exponential distribution (Gupta and Kundu, [3]), Kumaraswamy exponential distribution (Cordeiro and Castro, [4]), and inverse exponen- Oct 9, 2023 · Unit Exponential Probability Distribution: Characterization and Applications in Environmental and Engineering Data Modeling Hassan S. In this work, a generalization of the classical exponential distribution under Yes, you can use the exponential distribution to model the time between cars: set it up with the appropriate rate (2 cars/min or 20 cars/min or whatever) and then do a cumulative sum (cumsum in R) to find the time in minutes at which each car passes. The exponential distribution is one of the most significant and widely used distribution in statistical practice. The expressions of order statistics are derived. In this work, a generalization of the classical exponential distribution Feb 6, 2015 · Request PDF | Lindley-Exponential distribution: Properties and applications | In this paper, we introduce a new class of distributions generated by an integral transform of the probability density II. We represent this GMO exponentiated expo-nential distribution as GMO–EE (α, λ, θ, β) with parameters α, λ, θ, and β hereafter. Oguntunde, Nov 14, 2023 · (ETE) called it Extended Erlang-Truncated exponential distribution (EE-TED) and fitted it on uncensored rain data. Jan 1, 1988 · A bivariate exponential distribution with applications to reliability. NEW EXPONENTIATED EXTENDED INVERSE EXPONENTIAL DISTRIBUTION A STUDY ON THE PROPERTIES OF A NEW EXPONENTIATED EXTENDED INVERSE EXPONENTIAL DISTRIBUTION WITH APPLICATIONS Sule Omeiza Bashiru • Department of Mathematical Sciences, Prince Abubakar Audu University, Anyigba, Kogi State, Nigeria. data as compared to the Weibull distribution, Generalized exponential distribution, Marshall–Olkin extended exponentiated exponential distribution and exponentiated Nadarajah–Haghighi distributions. XII distribution to introduce the Transmuted Burr type XII distribution [12]. Ahmad3 1,2,3Department of Statistics, University of Kashmir, Srinagar, India Corresponding Author: sofimudasir3806@gmail. Mar 19, 2021 · On this note, we proposed a new distribution called the new extended generalized inverse exponential distribution with five positive parameters, which extends and generalizes the extended Jun 3, 2022 · In this paper, we first introduce the exponentiated generalized alpha power family of distributions to extend several other distributions. [13] extended the Weibull Pareto distribution. 2 Statistical Properties of the Exponential-Exponential Distribution (EED) Jun 1, 2023 · An application of the TPGLD to two real lifetime data sets reveals its superiority over the exponentiated power Lindley distribution, the exponentiated Lindley geometric distribution, the power Cordeiro and deCastro [12] used the Kumaraswamy distribution. O Ox 4) Subsituting from pdf (3) and cdf (4) into cdf (1), then the cdf of exponentiated Weibull exponential distribution, EWE,a O , takes the following form , x!ªºOOEx a ¬¼ 5) The generalized inverse exponential distribution provides many practical applications, including, in horse racing, queue theory, modeling wind speeds. [14] extended the generalize Jul 1, 2023 · This study introduces a new Beta Exponentiated Lomax-Exponential Distribution (BELED) with special reference to its quantile function to enhance closed form solution of its parameters and make its proprietorial effect on data modeling quantifiable with exactness. Oct 9, 2023 · Distributions with bounded support show considerable sparsity over those with unbounded support, despite the fact that there are a number of real-world contexts where observations take values from a bounded range (proportions, percentages, and fractions are typical examples). Suppose that the time that elapses between two successive events follows the exponential distribution with a mean of \(\mu\) units of time. Then, Jowett proposed the exponential distribution and its applications in 1958. While discussing the sampling of standard deviation (SD), Kondo in 1930 referred to the exponential distribution as Pearson’s X Type distribution. [28] studied the properties and applications of the Gompertz distribution. Aug 6, 2021 · This tutorial provides several examples of the exponential distribution in real life, including how it is used in various fields. Monte Nov 1, 2015 · For example, [1] studied the beta exponential distribution, [2] proposed the exponentiated exponential distribution, [3] investigated the Kumaraswamy exponential distribution, [4] proposed the Sep 8, 2024 · In summary, the exponential distribution offers a simple and effective method for modeling the time between events in a wide range of economic and scientific applications. Exponential Distribution Applications. The behavior of the hazard rate function Feb 21, 2022 · It is based on a parametric mixture of the exponential and weighted exponential distributions, with a mixture weight depending on a parameter of the involved distribution; no extra parameter is Jan 4, 2021 · PDF | On Jan 4, 2021, G C Ibeh and others published The Weibull-exponential {Rayleigh} Distribution: Theory and Applications | Find, read and cite all the research you need on ResearchGate May 1, 2022 · On generating T-X family of Pareto-exponential distribution with properties and applications. Here, lambda represents the events per unit time and x represents the time. Various of its properties including quantile and generating functions, ordinary and incomplete moments, mean residual life, mean inactivity time and some characterizations are investigated. [14] defined and studied the Exponentiated T—X family of distribution with applications. The exponential distribution is simulated in R with rexp(n, lambda) where lambda is the rate parameter. The extended exponential distribution is a two-parameter lifespan distribution that has been demonstrated to be very adaptable. Thus, an exponential distribution has been Nov 27, 2023 · This paper introduces a truncated Weibull-exponential distribution and provides a thorough insight into its mathematical characteristics. , (2010), Exponentiated Kumaraswamy Exponential (EKE) distribution by Jailson and Ana (2015), Top leone Exponential Exponential (TLEE) distribution by Sanusi, et al. 2019; 58(3): 90-106. Apr 19, 2022 · The aforementioned literature ought to demonstrate that the ME distribution is a very alluring generalization of the exponential distribution and has a wide range of applications. Sometimes it is also called negative exponential distribution. org Oct 1, 2020 · In this paper, the parameters of the extended odd Weibull exponential distribution are estimated under progressive type-II censoring scheme with random removal. (2. The main aim of this paper is to construct a new and novel discrete distribution, so-called discrete weighted exponential distribution, from the weighted exponential distribution presented in Equations (2) and (3). These characteristics include moments, generating Sep 28, 2021 · The exponential distribution has always been prominent in various disciplines because of its wide range of applications. [15] presented censored scheme of MO extended Weibull distribution, Jayakumar and Mathew [16] introduced on a generalization to MO with application of Burr May 1, 2024 · A new method for generating distributions with an application to exponential distribution. Apr 7, 2020 · A new lifetime distribution called Exponential-Gamma distribution was derived with a mixture of Exponential and Gamma distributions. The exponential distribution (ED) is the probability distribution of the time be- tween events in a Poisson point process. Sahoo’s (2013) Feb 12, 2024 · exponential distribution and its application to COVID-19. It has a straightforward mathematical structure that makes it simple to manipulate. Adewara et al. The statistical properties of the distribution such as survival, hazard, reversed hazard Apr 5, 2022 · Transmuted shifted exponential distribution and applications Agu Friday Ikechukwu 1 Department of Statistics, University of Calabar, Calabar, Nigeria Correspondence epsilomanalyst@gmail. Sóyínká published On Beta Exponentiated Lomax-Exponential Distribution with Applications | Find, read and cite all the research you need on ResearchGate distribution is life testing. Nov 11, 2015 · The method of maximum likelihood estimation was proposed in estimating its parameters and real life applications were provided to illustrate its flexibility and potentiality over the exponential This study aims to propose a GMO exponentiated exponential distribution with EE base-line distribution, derived from the GMO family. or g/10. Consider a random variable X with a cdf and pdf defined by; G x x 1 exp O (5) and . Jan 20, 2020 · We introduce a new lifetime distribution, called the alpha-power transformed extended exponential distribution which generalizes the extended exponential distribution proposed by Nadarajah and Haghighi (Statistics 45:543–558, 2011) to provide greater flexibility in modeling data from a practical point of view. Keywords Extended exponential distribution · Moments ·Quantile function · Stress–strength reliability ·Maximum likelihood estimation Let the random variable X follow the following exponential distribution with scale parameter O!0, x. One way to gain intuition for what is meant by the "poisson process" is through the proof that the exponential distribution is "memoryless". The inverse exponential distribution is a special case of the inverse Weibull distribution; it has been introduced as far back as 1982 by Keller & Kamath (Citation 1982) and is capable of modelling datasets with inverted bathtub failure rate. Nowadays, exponential distribution optimizer (EDO) can be considered to be one of the most recent among these algorithms. In this study, we presented a group acceptance sampling plan for situations in which the lifetime of an item followed a flexible new Kumaraswamy exponential distribution for applications to quality control reliability. Thus, the Beta distribution proposed by Bayes [] has been widely used to make inferences in the applications of proportional sample modelings, for example, by Fleiss et al. , 2021; Sapkota & Kumar, 2022; Chaudhary et al. In probability theory and statistics, the exponential distribution or negative exponential distribution is the probability distribution of the distance between events in a Poisson point process, i. The exponential logarithmic distribution has significant part in theory of reliability, in various fields such as economics, engineering, medical sciences and manufacturing. , a process in which events occur continuously and independently at a constant average rate; the distance parameter could be any meaningful mono-dimensional measure of the process, such as time Jan 1, 2023 · Some authors have also used the exponential distribution as the base distribution, f or example (Chaudhary et al. , 2014) and generalized exponential distribution (Gupta and Kundu Dec 24, 2024 · The exponential distribution is a cornerstone in probability and statistics, often used to model the time until an event occurs. Its applications span diverse fields, from reliability engineering The κ-exponential distribution has been applied in several areas, such as: In geomechanics, for analyzing the properties of rock masses; [3] In quantum theory, in physical analysis using Planck's radiation law; [4] In inverse problems, the κ-exponential distribution has been used to formulate a robust approach; [5] In Network theory. Stat. distribution, two-parameter Weibull and gamma distributions, and exponential distribution, has been suggested and investigated by Shanker & Shukla (2019). With a solid grasp of the underlying principles, you’ll be more likely to apply this knowledge effectively in your own work. P. The mean of exponential distribution is 1/lambda and the standard deviation is also 1/lambda. . Jun 30, 2018 · We introduce a new three-parameter extension of the exponential distribution called the odd exponentiated half-logistic exponential distribution. The exponential random variables can be used to describe: Time between vehicle arrivals at a toll booth Time required to complete a questionnaire Distance between major defects in a highway The time between goals scored in a World Cup soccer match In probability theory and statistics, the exponential distribution or negative exponential distribution is the probability distribution of the distance between events in a Poisson point process, i. data by [16]. by Marco Taboga, PhD. 1. Recently, the modified and extended forms of the exponential distribution were proposed b y sev eral. Aug 6, 2019 · Exponential distribution is often used to predict the waiting time until the next event occurs, such as a success, failure, or arrival. The exponential distribution is a continuous distribution that is commonly used to measure the expected time for an event to occur. Oct 1, 2020 · An application of the TPGLD to two real lifetime data sets reveals its superiority over the exponentiated power Lindley distribution, the exponentiated Lindley geometric distribution, the power May 7, 2024 · Sobhi and Mashail 4 introduced the inverse power logistic-exponential distribution. Important Continuous Random Variable: Exponential Random Variable The continuous random variable whose prob. The exponential probability density function is valuable with a number of practical applications. Introduction. Jul 8, 2021 · The study employs the moment generating function approach and the special case of gamma distribution to show that the gamma distribution is a legitimate continuous probability distribution showing Dec 15, 2016 · 3. Theory Methods, 46 (2017), pp. [29] introduced Exponentiated Gompertz Exponential distribution and applied it to real data Aug 20, 2018 · We defined and studied and inventive distribution called Type II half logistic exponential (TIIHLE) distribution. The distribution has been widely studied since its inception. com Joseph Thomas Eghwerido 2 Department of Mathematics, Federal University of Petroleum Resources, Effurun, Nigeria Jan 21, 2017 · A few examples include Ghitany et al. This volume provides a systematic and comprehensive synthesis of the diverse literature on the theory and applications of the expon Dec 1, 2024 · In this paper, the unit extended exponential distribution is presented. Ibrahim et al. isroset. For parameter estimation purposes seven different methods maximum likelihood, maximum product spacing, Anderson-Darling, Cramer von-Misses, least Aug 1, 2017 · In this article, we generalize the exponential distribution by compounding the extended exponential distribution (Gomez et al. The probability density and cumulative Mar 26, 2021 · The compatibility of the newly developed class is justified through its application in the field of quality control using Weibull-exponential distribution, a special case of the proposed family. The authors showed that in real-world data applications, the proposed distribution is handy in the modeling of real-life data and is a good alternative to competitors.