On Parameter Inference for Step-Stress Accelerated Life Test with Geometric Distribution |
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| Authors: | Ronghua Wang Xiaoling Xu Rong Pan |
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| Affiliation: | 1. College of Mathematics and Science , Shanghai Normal University , Shanghai , China;2. International Business College , Shanghai Institute of Foreign Trade , Shanghai , China;3. School of Computing, Informatics, and Decision Systems Engineering , Arizona State University , Arizona , USA |
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| Abstract: | 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. |
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| Keywords: | Bootstrap Geometric distribution Interval estimation Maximum likelihood estimate Monte-Carlo simulation Step-stress accelerated life test Tampered failure rate model Type-II censoring |
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