Bayesian Estimation of the Parameters, Reliability and Hazard Rate Functions of Mixtures Under Accelerated Life Tests

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

doi:10.1081/sac-200040703

Cited by 42 publications

(21 citation statements)

References 12 publications

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“…For given values of the hyperparameters parameters (α 1 , α 2 , α 3 , α 4 ), generate values for the parameters (θ, β), using (5.12) and (5.13). These values are chosen to satisfy the following two conditions of unbiased estimates; see [1] and [5],…”

Section: Illustrative Examplementioning

confidence: 99%

Properties, estimations and predictions for a Poisson-half-logistic distribution based on progressively type-II censored samples

Abdel-Hamid

2016

Applied Mathematical Modelling

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A new lifetime distribution with increasing-constant hazard rate is introduced. It arises by compounding the Poisson and half-logistic distributions and can be applied in complementary risk models and parallel systems. Properties of the new distribution are discussed.Based on progressive type-II censoring, maximum likelihood estimates of the involved parameters are obtained and their properties are studied via a simulation study. Prediction of future order statistics is investigated using one-and two-sample Bayesian prediction schemes. Prediction intervals are also constructed using the highest conditional density.The coverage probabilities of the prediction intervals are computed. Finally, two examples are presented, one of them is based on simulated data and the other one is based on real data, to illustrate the obtained results.

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Section: Illustrative Examplementioning

confidence: 99%

Properties, estimations and predictions for a Poisson-half-logistic distribution based on progressively type-II censored samples

Abdel-Hamid

2016

Applied Mathematical Modelling

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“…ALHussaini and Abdel-Hamid [9,10] applied constant ALTs to finite mixtures using Bayes and maximum likelihood methods of estimation, respectively.…”

Section: Introductionmentioning

confidence: 99%

Step partially accelerated life tests under finite mixture models

Abdel-Hamid

AL-Hussaini

2008

Journal of Statistical Computation and Simulation

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2008)Step partially accelerated life tests under finite mixture models, Journal of Statistical Computation and Simulation, 78:10, 911-924To link to this article: http://dx.In this paper, step partially accelerated life tests are considered when the lifetime of an item under use condition follows a finite mixture of distributions. The analysis is performed when each of the components follows a general class of distributions, which includes, among others, the Weibull, compound Weibull (or three-parameter Burr type XII), power function, Gompertz and compound Gompertz distributions. Based on type-I censoring, the maximum likelihood estimates (MLEs) of the mixing proportions, scale parameters and acceleration factor are obtained. Special attention is paid to a mixture of two exponential components. Simulation results are obtained to study the precision of MLEs.

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“…Based on progressively Type-II censored samples, [2] considered constant-stress PALT when the lifetime of units under use condition follows the Burr Type-XII distribution. Bayes and maximum likelihood (ML) methods of estimation are applied on constant-stress ALTs to finite mixtures of distributions by [3,4].…”

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Bayesian Estimation of Exponentiated Weibull Distribution Under Partially Acceleration Life Tests

Ahmad

Soliman

Yousef

2015

Bull. Malays. Math. Sci. Soc.

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This paper presents statistical methods for analyzing partially accelerated life test from constant-stress test. The lifetime of items under use condition follows the two-parameter exponentiated Weibull distribution. Based on progressively Type-II censored sample, the classical maximum likelihood method as well as a fully Bayesian method based on Lindley (Trabajos de Estadistica 31:223-237, 1980) approximation form and the Markov chain Monte Carlo technique are developed for inference about model parameters and acceleration factor. Furthermore, approximate confidence intervals and credible intervals are presented. A Monte Carlo simulation is given to study the precision of different estimators.

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Bayesian Estimation of the Parameters, Reliability and Hazard Rate Functions of Mixtures Under Accelerated Life Tests

Cited by 42 publications

References 12 publications

Properties, estimations and predictions for a Poisson-half-logistic distribution based on progressively type-II censored samples

Properties, estimations and predictions for a Poisson-half-logistic distribution based on progressively type-II censored samples

Step partially accelerated life tests under finite mixture models

Bayesian Estimation of Exponentiated Weibull Distribution Under Partially Acceleration Life Tests

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