Step partially accelerated life tests under finite mixture models

Abdel-Hamid, Alaa H.; AL-Hussaini, Essam K.

doi:10.1080/00949650701447084

Cited by 15 publications

(4 citation statements)

References 24 publications

(32 reference statements)

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“…In accelerated life test (ALT) criterion, all the test units are kept under a higher stress levels, but in partially accelerated life test (PALT) criterion, only a few test units from all the test units are kept under severe stress condition. See Abdel-Hamid and AL-Hussaini (2008) and Abdel-Hamid (2009) for the details regarding the ALT and PALT criterion. There are two different methods of stress loading in PALT, named as constant-stress and step-stress.…”

Section: Ss-palt Under Ffpcmentioning

confidence: 99%

Bayes Prediction on Optimum SS-PALT in Generalized Inverted Exponential Distribution: A Two-Sample Approach

Prakash

2022

AJS

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The generalized Inverted Exponential distribution is considered for the study on Optimum Step Stress Partially Accelerated Life Test (SS-PALT) based on different censoring patterns. The first-failure progressive censoring (FFPC) scheme and their special cases are used in the present study. A two-sample Bayes Prediction Bound Length (TS-BPBL) under SS-PALT on FFPC have been obtained and studied their properties by using different special cases of FFPC. Based on simulated and real data set, the properties of the ML estimates and the approximate confidence length under the normal approximation, also have been studied.

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Section: Ss-palt Under Ffpcmentioning

confidence: 99%

Bayes Prediction on Optimum SS-PALT in Generalized Inverted Exponential Distribution: A Two-Sample Approach

Prakash

2022

AJS

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“…A test that involves two levels of stress with the first one being the normal level and a specific time point for changing the stress is referred to as partial step-stress ALT (PALT). Several authors have dealt with this type of ALTs, including Bai and Chung (1992) and Abdel-Hamid and AL-Hussaini (2008).…”

Section: Introductionmentioning

confidence: 98%

Inference and Optimal Design Based on Step—Partially Accelerated Life Tests for the Generalized Pareto Distribution under Progressive Type-I Censoring

Abdel-Hamid

AL-Hussaini

2014

Communications in Statistics - Simulation and Computation

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Various types of failure, censored and accelerated life tests, are commonly employed for life testing in some manufacturing industries and products that are highly reliable. In this article, we consider the tampered failure rate model as one of such types that relate the distribution under use condition to the distribution under accelerated condition. It is assumed that the lifetimes of products under use condition have generalized Pareto distribution as a lifetime model. Some estimation methods such as graphical, moments, probability weighted moments, and maximum likelihood estimation methods for the parameters are discussed based on progressively type-I censored data. The determination of optimal stress change time is discussed under two different criteria of optimality. Finally, a Monte Carlo simulation study is carried out to examine the performance of the estimation methods and the optimality criteria.

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“…For instance, Abdel-Hamid [7] considered the parameter estimation of the Burr Type-XII distribution in a constant-stress PALT for progressively Type-II-censored data. Abdel-Hamid and Al-Hussaini [8] studied the estimation problem in the step-stress PALT when the lifetime of the tested units under the regular use conditions followed a finite mixture of a general class of distributions. Abdel-Ghaly et al [9] investigated the maximum likelihood estimation (MLE) method to estimate the parameters of the Weibull distribution in the step-stress PALT.…”

Section: Introductionmentioning

confidence: 99%

Inference for Partially Accelerated Life Test from a Bathtub-Shaped Lifetime Distribution with Progressive Censoring

Niu

Wang

Tripathi

et al. 2023

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The analysis of the constant-stress partially accelerated life test was considered under progressive Type-II censoring when the lifetime of the products follows a two-parameter bathtub-shaped distribution. The maximum likelihood estimates of the unknown parameters were established, where the expectation–maximization iterative solution is proposed for the estimation. The approximate confidence intervals were also constructed based on asymptotic theory via the Fisher information matrix. For comparison purposes, the bootstrap (i.e., Studentized-t and percentile) confidence intervals of the unknown parameters were also obtained. Finally, simulation studies and a real-life data example are presented to examine the performance of the different results.

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Step partially accelerated life tests under finite mixture models

Cited by 15 publications

References 24 publications

Bayes Prediction on Optimum SS-PALT in Generalized Inverted Exponential Distribution: A Two-Sample Approach

Bayes Prediction on Optimum SS-PALT in Generalized Inverted Exponential Distribution: A Two-Sample Approach

Inference and Optimal Design Based on Step—Partially Accelerated Life Tests for the Generalized Pareto Distribution under Progressive Type-I Censoring

Inference for Partially Accelerated Life Test from a Bathtub-Shaped Lifetime Distribution with Progressive Censoring

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