Planning step-stress life tests with type-ii censored data

İsmail, Ali A.

doi:10.5897/sre10.1060

Cited by 8 publications

(2 citation statements)

References 27 publications

(23 reference statements)

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“…In practical use, most products run at constant stress as a constant stress test actual use, it is simple and has a lot of advantages over time-dependent stress loadings because most of real products are operated at a constant-stress condition. A constant stress ALT with different types of data and test planning has been studied by many authors, for example, Ismail [1], Hassan and AL-Thobety [2], AL-Dayian et al [3] and Basak and Balakrishnan [4], among others.…”

Section: Introductionmentioning

confidence: 99%

Estimating and Prediction Accelerated Life Test Using Constant Stress for Marshall-Olkin Extended Burr Type X Distribution Based on Type-II Censoring

Refaey

2021

Al-Azhar Bulletin of Science

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In this paper constant stress accelerated life tests are discussed based on Type II censored sampling from Marshall-Olkin extended Burr Type X Distribution. The model parameters and the acceleration factor are estimated using the maximum likelihood estimation method and two-sample predictions are considered for future order statistics. Further, the asymptotic confidence intervals for the model parameters are discussed. Numerical study is given, and some interesting comparisons are presented to illustrate the theoretical results. Moreover, the results are applied on real dataset.

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Section: Introductionmentioning

confidence: 99%

Estimating and Prediction Accelerated Life Test Using Constant Stress for Marshall-Olkin Extended Burr Type X Distribution Based on Type-II Censoring

Refaey

2021

Al-Azhar Bulletin of Science

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“…Ismail [8] used step stress partially accelerated life tests with two stress levels and Type-I censoring and the Gompertz distribution as a life model to apply the Bayesian technique to the estimation problem. The point and interval estimations of a two-parameter Gompertz distribution under partially accelerated life tests with Type-II censoring were also covered by Ismail [9]. Soliman et al [10] have dealt with parameter estimation using progressive first-failure censored data.…”

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confidence: 99%

Statistical Inference for Competing Risks Model with Adaptive Progressively Type-II Censored Gompertz Life Data Using Industrial and Medical Applications

2022

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This study uses the adaptive Type-II progressively censored competing risks model to estimate the unknown parameters and the survival function of the Gompertz distribution. Where the lifetime for each failure is considered independent, and each follows a unique Gompertz distribution with different shape parameters. First, the Newton-Raphson method is used to derive the maximum likelihood estimators (MLEs), and the existence and uniqueness of the estimators are also demonstrated. We used the stochastic expectation maximization (SEM) method to construct MLEs for unknown parameters, which simplified and facilitated computation. Based on the asymptotic normality of the MLEs and SEM methods, we create the corresponding confidence intervals for unknown parameters, and the delta approach is utilized to obtain the interval estimation of the reliability function. Additionally, using two bootstrap techniques, the approximative interval estimators for all unknowns are created. Furthermore, we computed the Bayes estimates of unknown parameters as well as the survival function using the Markov chain Monte Carlo (MCMC) method in the presence of square error and LINEX loss functions. Finally, we look into two real data sets and create a simulation study to evaluate the efficacy of the established approaches.

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A simulation study of parameters for the censored shifted Gompertz mixture distribution: A Bayesian approach

Sindhu

Aslam

Hussain

2016

Journal of Statistics and Management Systems

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Planning step-stress life tests with type-ii censored data

Cited by 8 publications

References 27 publications

Estimating and Prediction Accelerated Life Test Using Constant Stress for Marshall-Olkin Extended Burr Type X Distribution Based on Type-II Censoring

Estimating and Prediction Accelerated Life Test Using Constant Stress for Marshall-Olkin Extended Burr Type X Distribution Based on Type-II Censoring

Statistical Inference for Competing Risks Model with Adaptive Progressively Type-II Censored Gompertz Life Data Using Industrial and Medical Applications

A simulation study of parameters for the censored shifted Gompertz mixture distribution: A Bayesian approach

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