Open AccessStatistical analysis for masked hybrid system lifetime data in step-stress partially accelerated life test with progressive hybrid censoring
Author(s) -
Xiaolin Shi,
Yanchao Liu,
Yimin Shi
Publication year - 2017
Publication title -
plos one
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.99
H-Index - 332
ISSN - 1932-6203
DOI - 10.1371/journal.pone.0186417
Subject(s) - censoring (clinical trials) , confidence interval , accelerated life testing , statistics , maximum likelihood , failure rate , exponential distribution , component (thermodynamics) , mathematics , computer science , weibull distribution , physics , thermodynamics
In this paper, we investigate a step-stress partially accelerated lifetime test for the four-component hybrid systems with Type-II progressive hybrid censoring scheme while the life time of system component follows exponential failure rate. In many cases, the exact component causing the system failure cannot be identified and the cause of failure is masked. Based on Type-II progressively hybrid censored and masked data, the maximum likelihood estimations for unknown parameters and acceleration factor are obtained. In addition, approximate confidence interval and bootstrap confidence interval are presented by using the asymptotic distributions of the maximum likelihood estimations for unknown parameters and bootstrap method, respectively. Finally, the proposed method is illustrated through the simulation studies.