Journal of Statistical Theory and Applications

Volume 12, Issue 3, September 2013, Pages 266 - 287

Planning Accelerated Life Tests for Burr Type X Failure Model with Type I Censoring

Authors
Nesar Ahmad, Sabiha Khan, M.G.M. Khan
Corresponding Author
Nesar Ahmad
Available Online 1 September 2013.
DOI
https://doi.org/10.2991/jsta.2013.12.3.5How to use a DOI?
Keywords
Accelerated life testing, Burr type X distribution, Maximum likelihood estimation, Type I censoring, Optimization techniques
Abstract
In this paper, we discuss the optimal accelerated life test plans for Burr type X distribution with log-linear model under periodic inspection and Type I censoring. We obtain the maximum likelihood estimators, the Fisher information and the asymptotic covariance matrix of the maximum likelihood estimators. Accelerated life test is optimized with respect to the low test stress and the proportion of test units allocated to the low test stress for given shape parameter. The asymptotic variance of the maximum likelihood estimator of qth quantile at the design stress is derived as an optimality criterion with equally spaced inspection times and the optimal allocation of units for two stress levels are determined. Optimality results show that the asymptotic variance of qth quantile at the design stress is insensitive to the number of inspection times and to misspecifications of guessed failure probabilities at design and high test stresses. Procedures for planning an accelerated life test, including selection of sample size, have been discussed through an example.
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Journal
Journal of Statistical Theory and Applications
Volume-Issue
12 - 3
Pages
266 - 287
Publication Date
2013/09
ISSN (Online)
2214-1766
ISSN (Print)
1538-7887
DOI
https://doi.org/10.2991/jsta.2013.12.3.5How to use a DOI?
Open Access
This is an open access article distributed under the CC BY-NC license.

Cite this article

TY  - JOUR
AU  - Nesar Ahmad
AU  - Sabiha Khan
AU  - M.G.M. Khan
PY  - 2013
DA  - 2013/09
TI  - Planning Accelerated Life Tests for Burr Type X Failure Model with Type I Censoring
JO  - Journal of Statistical Theory and Applications
SP  - 266
EP  - 287
VL  - 12
IS  - 3
SN  - 2214-1766
UR  - https://doi.org/10.2991/jsta.2013.12.3.5
DO  - https://doi.org/10.2991/jsta.2013.12.3.5
ID  - Ahmad2013
ER  -