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Strength of Materials
Published in: Strength of Materials 5/2017

02-12-2017

On Designing Time-Censored Step-Stress Life Test for the Burr Type-XII Distribution

Authors: Ali A. Ismail, K. Al-Habardi

Published in: Strength of Materials | Issue 5/2017

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Abstract

This article presents the optimal designing of time step-stress partially accelerated life test (PALT) under censored data from two-parameter Burr type-XII distribution. The maximum likelihood (ML) approach is used to obtain point and interval estimations of the model parameters. Moreover, optimum test plans for time step-stress PALT are optimally developed. The adopted optimality criterion is the minimization of the generalized asymptotic variance of the ML estimators of the model parameters. For illustration, numerical examples are presented.
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Appendix
Available only for authorised users
Literature
1.
M. H. Degroot and P. K. Goel, “Bayesian estimation and optimal designs in partially accelerated life testing,” Nav. Res. Logist. Q., 26, No. 2, 223–235 (1979).CrossRef
2.
D. S. Bai, S. W. Chung, and Y. R. Chun, “Optimal design of partially accelerated life tests for the lognormal distribution under type I censoring,” Reliab. Eng. Syst. Safe., 40, No. 1, 85–92 (1993).CrossRef
3.
N. Ahmad and A. Islam, “Optimal accelerated life test designs for Burr type XII distributions under periodic inspection and type I censoring,” Nav. Res. Log., 43, No. 8, 1049–1077 (1996).CrossRef
4.
A. A. Abdel-Ghaly, E. H. El-Khodary, and A. A. Ismail, “Maximum likelihood estimation and optimal design in step partially accelerated life tests for the Pareto distribution with type-I censoring,” in: Proc. of the 14th Annual Conf. on Statistics and Computer Modeling in Human and Social Sciences, Cairo University (2002), pp. 16–29.
5.
H. M. Aly and A. A. Ismail, “Optimum simple time-step stress plans for partially accelerated life testing with censoring,” Far East J. Theor. Stat., 24, No. 2, 175–200 (2008).
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A. M. Abd-Elfattah, A. S. Hassan, and S. G. Nassr, “Estimation in step-stress partially accelerated life tests for the Burr type XII distribution using type I censoring,” Stat. Methodol., 5, No. 6, 502–514 (2008).CrossRef
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A. A. Ismail, “On designing step-stress partially accelerated life tests under failure- censoring scheme,” P. I. Mech. Eng. O - J. Ris., 227, No. 6, 662–670 (2013).
8.
Ali A. Ismail, “On designing constant-stress partially accelerated life tests under time-censoring,” Strength Mater., 46, No. 1, 132–139 (2014).CrossRef
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A. A. Ismail, “Optimum partially accelerated life test plans with progressively type I interval-censored data,” Sequential Anal., 34, No. 2, 135–147 (2015).CrossRef
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Ali A. Ismail, “A. A. Ismail, “Optimum failure-censored step-stress life test plans for the Lomax distribution,” Strength Mater., 48, No. 3, 437–443 (2016).
11.
Ali A. Ismail, “Planning step-stress life tests for the generalized Rayleigh distribution under progressive type-II censoring with binomial removals,” Strength Mater., 49, No. 2, 292–306 (2016).CrossRef
Metadata
Title
On Designing Time-Censored Step-Stress Life Test for the Burr Type-XII Distribution
Authors
Ali A. Ismail
K. Al-Habardi
Publication date
02-12-2017
Publisher
Springer US
Published in
Strength of Materials / Issue 5/2017
Print ISSN: 0039-2316
Electronic ISSN: 1573-9325
DOI
https://doi.org/10.1007/s11223-017-9915-z

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