Bayesian Estimation for the Exponentiated Weibull Model

Nassar, Mohamed A.; Eissa, Fathy H.

doi:10.1081/sta-200031447

Cited by 69 publications

(39 citation statements)

References 20 publications

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“…In the last couple of years although significant amount of work has been developed in the classical set up, not much work except the recent related work of Nassar and Eissa [27] and Kundu and Gupta [20] has been found in the Bayesian framework. When both the parameters are unknown, it is quite natural to assume independent gamma priors on both the shape and scale parameters.…”

Section: Bayesian Inferencementioning

confidence: 99%

Generalized exponential distribution: Existing results and some recent developments

Gupta

Kundu

2007

Journal of Statistical Planning and Inference

258

127

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Mudholkar and Srivastava [25] introduced three-parameter exponentiated Weibull distribution. Two-parameter exponentiated exponential or generalized exponential distribution is a particular member of the exponentiated Weibull distribution. Generalized exponential distribution has a right skewed unimodal density function and monotone hazard function similar to the density functions and hazard functions of the gamma and Weibull distributions. It is observed that it can be used quite effectively to analyze lifetime data in place of gamma, Weibull and log-normal distributions. The genesis of this model, several properties, different estimation procedures and their properties, estimation of the stress-strength parameter, closeness of this distribution to some of the well known distribution functions are discussed in this article.

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Section: Bayesian Inferencementioning

confidence: 99%

Generalized exponential distribution: Existing results and some recent developments

Gupta

Kundu

2007

Journal of Statistical Planning and Inference

258

127

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“…The linear-exponential (Linex) loss function is justified by the fact that this asymmetric loss function rises approximately linearly on one side of zero and approximately exponentially on the other side) which is asymmetric, was introduced by Metiri et al (2016), Varian (1975;Basu and Ebrahimi (1991), Pandey (1997), ), Rojo (1987), Soliman (2000) and Nassar et al (2004).…”

Section: On Bayesian Premium Estimators Under Linearexponential (Linementioning

confidence: 99%

On Bayesian Premium Estimators for Gamma Lindley Model under Squared Error Loss Function and Linex Loss Function

Sadoun¹,

Zeghdoudi²,

Attoui³

et al. 2017

Journal of Mathematics and Statistics

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Abstract:We consider the Gamma Lindley distribution (GaL) as the conditional distribution of (X|θ,γ), we focus on the estimation of the Bayesian premium under squared error loss function (symmetric) and linearexponential (Linex) loss function (asymmetric), using informative priors (the Gamma prior). Because of its difficulty and non-linearity, we use a numerical approximation for computing the Bayesian premium. Finally, a simulation and comparative study with varying sample sizes are given.

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“…The maximum likelihood estimation of the reliability function R(t) of the machine work times which is distributed as exponential distribution, takes the following formula (Nasser & Eissa, 2005):…”

Section: Estimation the Reliability Function R(t)mentioning

confidence: 99%

Measuring Some Indicators of the Productivity Machines Efficiency and Analysis their Impact on Productivity of the Jordanian Phosphate Company

Touama¹,

Shehadeh²

2016

International Journal of Managerial Studies and Research

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Bayesian Estimation for the Exponentiated Weibull Model

Cited by 69 publications

References 20 publications

Generalized exponential distribution: Existing results and some recent developments

Generalized exponential distribution: Existing results and some recent developments

On Bayesian Premium Estimators for Gamma Lindley Model under Squared Error Loss Function and Linex Loss Function

Measuring Some Indicators of the Productivity Machines Efficiency and Analysis their Impact on Productivity of the Jordanian Phosphate Company

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