TY - JOUR
T1 - On parameter inference for step-stress accelerated life test with geometric distribution
AU - Wang, Ronghua
AU - Xu, Xiaoling
AU - Pan, Rong
AU - Sha, Naijun
N1 - Funding Information:
Wang and Xu’s work was supported by NSFC grant 11041002, NSFC grant 11041002, Shanghai Leading Academic Discipline Project S30405 and Scientific Computing Key Laboratory of Shanghai Universities. Pan and Sha’s work was partially supported by NSF grant CMMI-0654417.
PY - 2012
Y1 - 2012
N2 - 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.
AB - 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.
KW - Bootstrap
KW - Geometric distribution
KW - Interval estimation
KW - Maximum likelihood estimate
KW - Monte-Carlo simulation
KW - Step-stress accelerated life test
KW - Tampered failure rate model
KW - Type-II censoring
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U2 - 10.1080/03610926.2010.551455
DO - 10.1080/03610926.2010.551455
M3 - Article
AN - SCOPUS:84862886750
VL - 41
SP - 1796
EP - 1812
JO - Communications in Statistics - Theory and Methods
JF - Communications in Statistics - Theory and Methods
SN - 0361-0926
IS - 10
ER -