On Parameter Inference for Step-Stress Accelerated Life Test with Geometric Distribution

In this article, we present the parameter inference in step-stress accelerated life tests under the tampered failure rate model with geometric distribution. We deal with Type-II censoring scheme involved in experimental data, and provide the maximum likelihood estimate and confidence interval of the...

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Bibliographic Details
Published in:Communications in statistics. Theory and methods 2012-05, Vol.41 (10), p.1796-1812
Main Authors: Wang, Ronghua, Xu, Xiaoling, Pan, Rong, Sha, Naijun
Format: Article
Language:English
Subjects:
Accelerated life tests
Applications
Bootstrap
Confidence intervals
Control charts
Distribution theory
Exact sciences and technology
General topics
Geometric distribution
Interval estimation
Mathematics
Maximum likelihood estimate
Monte-Carlo simulation
Nonparametric inference
Probability and statistics
Reliability, life testing, quality control
Sciences and techniques of general use
Statistics
Step-stress accelerated life test
Tampered failure rate model
Type-II censoring
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Summary:In this article, we present the parameter inference in step-stress accelerated life tests under the tampered failure rate model with geometric distribution. We deal with Type-II censoring scheme involved in experimental data, and provide the maximum likelihood estimate and confidence interval of the parameters of interest. With the help of the Monte-Carlo simulation technique, a comparison of precision of the confidence limits is demonstrated for our method, the Bootstrap method, and the large-sample based procedure. The application of two industrial real datasets shows the proposed method efficiency and feasibility.
ISSN:0361-0926
1532-415X
DOI:10.1080/03610926.2010.551455