TY - JOUR
T1 - Analysis of a simple step-stress life test with a random stress-change time
AU - Xiong, Chengjie
AU - Zhu, Kejun
AU - Ji, Ming
N1 - Funding Information:
Manuscript received July 26, 2003; revised September 22, 2005. Both Dr. Xiong’s and Prof. Zhu’s work were partly supported by the National Natural Science Foundation grant NO: 70273044 of the People’s Republic of China. Associate Editor: E. Pohl. C. Xiong is with the Division of Biostatistics, Washington University in St. Louis, St. Louis, MO 63110 USA (e-mail: [email protected]). K. Zhu is with the College of Management, China University of Geosciences, Wuhan 430074, P.R. China (e-mail: [email protected]). M. Ji with the Division of Epidemiology and Biostatistics, Graduate School of Public Health, San Diego State University, USA (e-mail: [email protected]). Digital Object Identifier 10.1109/TR.2005.863801
PY - 2006/3
Y1 - 2006/3
N2 - This paper studies a variation of a simple step-stress life testing in which the stress change time is random, and the test is subject to type II censoring. We assume that only two order statistics from the test are observed. The first observed order statistic is the stress change time from a low level stress to a high level stress during the testing, and the second observed order statistic is the final failure time when the test is censored. We first present the joint probability distribution of the two order statistics observed from the simple step-stress accelerated life test. Maximum likelihood estimates, and the method of moment estimates for model parameters based on the joint distribution are considered. We also present the exact confidence interval estimates for the model parameters based on various pivotal quantities, and demonstrate the estimation procedure by a simulated example.
AB - This paper studies a variation of a simple step-stress life testing in which the stress change time is random, and the test is subject to type II censoring. We assume that only two order statistics from the test are observed. The first observed order statistic is the stress change time from a low level stress to a high level stress during the testing, and the second observed order statistic is the final failure time when the test is censored. We first present the joint probability distribution of the two order statistics observed from the simple step-stress accelerated life test. Maximum likelihood estimates, and the method of moment estimates for model parameters based on the joint distribution are considered. We also present the exact confidence interval estimates for the model parameters based on various pivotal quantities, and demonstrate the estimation procedure by a simulated example.
KW - Confidence interval
KW - Cumulative exposure model
KW - Exponential distribution
KW - Marginal distribution
KW - Maximum likelihood estimate
KW - Method of moment estimate
KW - Order statistics
KW - Pivotal quantity
KW - Type II censoring
UR - http://www.scopus.com/inward/record.url?scp=33644890431&partnerID=8YFLogxK
U2 - 10.1109/TR.2005.863801
DO - 10.1109/TR.2005.863801
M3 - Article
AN - SCOPUS:33644890431
SN - 0018-9529
VL - 55
SP - 67
EP - 74
JO - IEEE Transactions on Reliability
JF - IEEE Transactions on Reliability
IS - 1
ER -