Optimal design of partially accelerated life tests for the exponential distribution under type-I censoring

Bai, Do Sun; Chung, Sang Wook

doi:10.1109/24.159807

Cited by 130 publications

(57 citation statements)

References 17 publications

Supporting

Mentioning

Contrasting

Order By: Relevance

“…Meeker (1984) studied the optimal design for Type I censored constant stress ALTs. Bai and Chung (1992) compared the performances of the two step stress ALTs and the constant stress partially ALTs. Khamis and Higgins (1996) evaluated compound linear plan under three-step stress test when the lifetime of test unit is exponential.…”

Section: Introductionmentioning

confidence: 99%

Three level constant stress accelerated life tests for Weibull distribution

Moon¹

2015

Journal of the Korean Data and Information Science Society

View full text Add to dashboard Cite

In this paper, the maximum likelihood estimators and confidence intervals for parameters of Weibull distribution are derived under three level constant stress accelerated life tests and the assumption that a log quadratic relationship exits between stress and the scale parameter θ. The compound linear plan proposed by Kim (2006) is used to allocate the test units at each stress level, which performed nearly as good as the optimum quadratic plan and had the advantage of simplicity. Some simulation studies are given.

show abstract

Section: Introductionmentioning

confidence: 99%

Three level constant stress accelerated life tests for Weibull distribution

Moon¹

2015

Journal of the Korean Data and Information Science Society

View full text Add to dashboard Cite

show abstract

“…PALTs have been considered under Type-I and Type-II censoring schemes by numerous authors, for example, see Goel [18], DeGroot and Goel [12], Bhattcharyya and Soejoeti [9], Bai and Chung [7], Bai et al [8], Abdel-Ghaly et al [1], Abdel-Ghaly et al [2], Abdel-Ghaly et al [3], Abdel-Ghani [4], Abdel-Ghani [5], Ismail [21], Aly and Ismail [6], Ismail and Sarhan [25], Ismail et al [20] and Ismail [23].…”

Section: Introductionmentioning

confidence: 99%

Reliability analysis under constant-stress partially accelerated life tests using hybrid censored data from Weibull distribution

İsmail¹

2015

HJMS

View full text Add to dashboard Cite

This article discusses the estimation of Weibull distribution parameters based on hybrid censored data under constant-stress partially accelerated test model. Two estimation methods; maximum likelihood (ML) and percentile bootstrap (PB) are used to make statistical inference on the Weibull distribution parameters and the acceleration factor. The mean square errors of the estimators are calculated to evaluate their performances through a Monte Carlo simulation study. Moreover, the confidence intervals lengths (CILs) and their associated coverage probabilities (CPs) are obtained. Finally, to demonstrate the proposed methodology, an arithmetic example is given.

show abstract

“…Most of literature performed on PALT considered the classical approach to estimate the parameters of interest, for example, see Goel [16], Bhattacharyya and Soejoeti [11], Bai and Chung [7], Bai et al [8], Attia et al [6], Abdel-Ghaly et al [2], Madi [29], Abdel-Ghani [3], Aly and Ismail [5], Ismail and Sarhan [25], Ismail [23], Ismail and Abu-Youssef [24], Ismail [21][22] and Abd-Elfattah et al [1].…”

Section: Introductionmentioning

confidence: 99%

Likelihood and Bayesian estimations for step-stress life test model under Type-I censoring

İsmail¹

2014

HJMS

View full text Add to dashboard Cite

This paper discusses likelihood and Bayesian estimations for partially accelerated step-stress life test model under Type-I censoring assuming Pareto distribution of the second kind. The posterior means and posterior variances are obtained under the squared error loss function using Lindleys approximation procedure. It has been observed that Lindley's method usually provides posterior variances and mean square errors smaller than those of the maximum likelihood estimators. Furthermore, the highest posterior density credible intervals of the model parameters based on Gibbs sampling technique are computed. For illustration, simulation studies and an illustrative example based on a real data set are provided.

show abstract

Optimal design of partially accelerated life tests for the exponential distribution under type-I censoring

Cited by 130 publications

References 17 publications

Three level constant stress accelerated life tests for Weibull distribution

Three level constant stress accelerated life tests for Weibull distribution

Reliability analysis under constant-stress partially accelerated life tests using hybrid censored data from Weibull distribution

Likelihood and Bayesian estimations for step-stress life test model under Type-I censoring

Contact Info

Product

Resources

About