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Statistical Analysis of Series System for Masked Data under Successive Censored Life Test
Authors:Xiaoling Xu  Ronghua Wang  Beiqing Gu  Lei Luo
Affiliation:Business Information Management School, Shanghai University of International Business and Economics, Wenxiang Road, 201620 Shanghai, China,Mathematics and Science College, Shanghai Normal University, Guilin Road, 200234 Shanghai, China,Business Information Management School, Shanghai University of International Business and Economics, Wenxiang Road, 201620 Shanghai, China and Mathematics and Science College, Shanghai Normal University, Guilin Road, 200234 Shanghai, China
Abstract:In this paper, considering series system of masked data under simple successive censored and multiple successive censored life test, the likelihood function and maximum likelihood estimate are respectively proposed for series system composed of two units under two kinds of situations. One is the series system composed of two units withconstant failure rate, and the other is the series system composed of two units with linear failure rate through the origin. The approximate interval estimates of parameters are given by using the method of likelihood ratio. Besides, the examples show the feasibility of the methods through Monte-Carlo simulations.
Keywords:Masked data   series system   successive censored   maximum likelihood estimate   approximate interval estimate.
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