Cumulative Exposure Model under Frechet Distribution under Data Type II Censoring with Simulation Study

2021 ◽  
Vol 10 (3) ◽  
pp. 821-832
Keyword(s):  
Simulation Study ◽  
Data Type ◽  
Cumulative Exposure ◽  
Exposure Model ◽  
Type Ii ◽  
Type Ii Censoring ◽  
Cumulative Exposure Model ◽  
Fréchet Distribution ◽  
Frechet Distribution

scholarly journals Accelerated Life Tests under Pareto-IV Lifetime Distribution: Real Data Application and Simulation Study

Mathematics ◽  
2020 ◽  
Vol 8 (10) ◽  
pp. 1786 ◽  
Author(s):  
A. M. Abd El-Raheem ◽  
M. H. Abu-Moussa ◽  
Marwa M. Mohie El-Din ◽  
E. H. Hafez
Keyword(s):  
Simulation Study ◽  
Stress Test ◽  
Real Data ◽  
Accelerated Life Test ◽  
Maximum Likelihood Estimates ◽  
Cumulative Exposure ◽  
Exposure Model ◽  
Model Parameters ◽  
Data Set ◽  
Accelerated Life

In this article, a progressive-stress accelerated life test (ALT) that is based on progressive type-II censoring is studied. The cumulative exposure model is used when the lifetime of test units follows Pareto-IV distribution. Different estimates as the maximum likelihood estimates (MLEs) and Bayes estimates (BEs) for the model parameters are discussed. Bayesian estimates are derived while using the Tierney and Kadane (TK) approximation method and the importance sampling method. The asymptotic and bootstrap confidence intervals (CIs) of the parameters are constructed. A real data set is analyzed in order to clarify the methods proposed through this paper. Two types of the progressive-stress tests, the simple ramp-stress test and multiple ramp-stress test, are compared through the simulation study. Finally, some interesting conclusions are drawn.

scholarly journals On Bayesian Analysis of Burr Type VII Distribution under Different Censoring Schemes

2012 ◽  
Vol 2012 ◽  
pp. 1-5
Author(s):  
Navid Feroze ◽  
Muhammad Aslam
Keyword(s):  
Comparative Study ◽  
Bayesian Analysis ◽  
Simulation Study ◽  
Type Ii ◽  
Posterior Distributions ◽  
Bayes Estimators ◽  
Type Ii Censoring ◽  
The Comparative Study ◽  
Posterior Estimation

This paper includes the Bayesian analysis of Burr type VII distribution. Three censoring schemes, namely, left censoring, singly type II censoring, and doubly type II censoring have been used for posterior estimation. The results of different censoring schemes have been compared with those under complete samples. The comparative study among the performance of different censoring schemes has also been made. Two noninformative (uniform and Jeffreys) priors have been assumed to derive the posterior distributions under each case. The performance of Bayes estimators has been compared in terms of posterior risks under a simulation study.

scholarly journals On estimation of Frechet distribution with known shape using Bayesian analysis under informative priors

2017 ◽  
Vol 5 (2) ◽  
pp. 141
Author(s):  
Wajiha Nasir
Keyword(s):  
Bayesian Analysis ◽  
Loss Function ◽  
Simulation Study ◽  
Posterior Distribution ◽  
Loss Functions ◽  
Quadratic Loss ◽  
Bayes Estimators ◽  
Informative Priors ◽  
Fréchet Distribution ◽  
Frechet Distribution

In this study, Frechet distribution has been studied by using Bayesian analysis. Posterior distribution has been derived by using gamma and exponential. Bayes estimators and their posterior risks has been derived using five different loss functions. Elicitation of hyperparameters has been done by using prior predictive distributions. Simulation study is carried out to study the behavior of posterior distribution. Quasi quadratic loss function and exponential prior are found better among all.

On optimal operational sequence of components in a warm standby system

2018 ◽  
Vol 55 (4) ◽  
pp. 1014-1024 ◽  
Author(s):  
Maxim Finkelstein ◽  
Nil Kamal Hazra ◽  
Ji Hwan Cha
Keyword(s):  
Open Problem ◽  
Cumulative Exposure ◽  
Exposure Model ◽  
Virtual Age ◽  
Cumulative Exposure Model ◽  
Standby System ◽  
Stochastic Precedence ◽  
Warm Standby

Abstract We consider an open problem of obtaining the optimal operational sequence for the 1-out-of-n system with warm standby. Using the virtual age concept and the cumulative exposure model, we show that the components should be activated in accordance with the increasing sequence of their lifetimes. Lifetimes of the components and the system are compared with respect to the stochastic precedence order and its generalization. Only specific cases of this optimal problem were considered in the literature previously.

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