Estimation of the Failure Rate in a Partially Accelerated Life Test: A Sequential Approach

Tahir, Mohamed

doi:10.1081/sap-120022869

Cited by 7 publications

(3 citation statements)

References 5 publications

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“…The MLE of b and a can be obtained by solving equations (17) and (18) numerically and then by substituting in equation (16) one can easily obtain the MLE of u.…”

Section: Mle Of the Parametersmentioning

confidence: 99%

“…14 While inference for Burr-XII with progressive Type-II censoing with random removals in step-stress PALT had been studied by Sun et al 15 Estimation of the failure rate in step-stress PALT had been obtained by Tahir. 16 Also, step-stress PALT under finite mixture models had been studied. Based on Type-I censoring, the maximum likelihood estimation (MLE) of the mixing proportions, scale parameters, and acceleration factor has been obtained by Abdel-Hamid and Al-Hussaini.…”

Section: Introductionmentioning

confidence: 99%

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On designing step-stress partially accelerated life tests under failure-censoring scheme

İsmail

2013

Proceedings of the Institution of Mechanical Engineers, Part O:

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In this article the maximum likelihood estimates of the model parameters under step-stress partially accelerated life tests (SSPALT) are obtained assuming the Weibull distribution with Type-II censored data. Also, the confidence bounds of the parameters are obtained. In addition, optimum step stress test plans are developed. The optimum test plan determines the optimal stress change point that minimizes the generalized asymptotic variance of the maximum likelihood estimators for the model parameters. That is, improving the quality of the statistical inference.

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“…The MLE of b and a can be obtained by solving equations (17) and (18) numerically and then by substituting in equation (16) one can easily obtain the MLE of u.…”

Section: Mle Of the Parametersmentioning

confidence: 99%

Section: Introductionmentioning

confidence: 99%

On designing step-stress partially accelerated life tests under failure-censoring scheme

İsmail

2013

Proceedings of the Institution of Mechanical Engineers, Part O:

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show abstract

“…Abdel-Ghani (1998) considered the Bayesian approach to estimate the parameters of Weibull distribution in SSPALT with censoring. Tahir (2003) estimated the failure rate with the Bayes estimator under the squared error loss in SSPALT assuming the exponential distribution. Ismail (2010) considered the Bayesian approach to estimate the parameters of Gompertz distribution under SSPALT model with time censoring.…”

Section: Introductionmentioning

confidence: 99%

Parameter Estimation Under Failure-Censored Constant-Stress Life Testing Model: A Bayesian Approach

İsmail

2015

Sequential Analysis

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This article compares likelihood and Bayesian estimations for partially accelerated constant-stress life test model under type II censoring assuming Pareto distribution of the second kind. Both maximum likelihood and Bayesian estimators of the model parameters are derived. The posterior means and posterior variances are obtained under the squared error loss function using Lindley's approximation procedure. The advantages of this proposed procedure are shown. Monte Carlo simulations are conducted under different samples sizes and different parameter values to assess and compare the proposed methods of estimation.A noninformative prior on the model parameters is used to make the comparison more meaningful. It has been observed that Lindley's method usually provides posterior variances and mean squared errors smaller than those of the maximum likelihood estimators. That is, Lindley's method produces improved estimates, which is an advantage of this method.

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Progressive stress accelerated life test for inverse Weibull failure model: A parametric inference

İsmail

2022

Journal of King Saud University - Science

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Estimation of the Failure Rate in a Partially Accelerated Life Test: A Sequential Approach

Cited by 7 publications

References 5 publications

On designing step-stress partially accelerated life tests under failure-censoring scheme

On designing step-stress partially accelerated life tests under failure-censoring scheme

Parameter Estimation Under Failure-Censored Constant-Stress Life Testing Model: A Bayesian Approach

Progressive stress accelerated life test for inverse Weibull failure model: A parametric inference

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