Journal
COMMUNICATIONS IN STATISTICS-THEORY AND METHODS
Volume 40, Issue 12, Pages 2117-2135Publisher
TAYLOR & FRANCIS INC
DOI: 10.1080/03610921003764175
Keywords
Asymptotic normality; Bootstrap intervals; Coverage probabilities; Joint Type-II progressive censoring; Simultaneous confidence intervals; Weibull distribution
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Comparative lifetime experiments are important when the object of a study is to determine the relative merits of two competing duration of life products. This study considers the interval estimation for two Weibull populations when joint Type-II progressive censoring is implemented. We obtain the conditional maximum likelihood estimators of the two Weibull parameters under this scheme. Moreover, simultaneous approximate confidence region based on the asymptotic normality of the maximum likelihood estimators are also discussed and compared with two Bootstrap confidence regions. We consider the behavior of probability of failure structure with different schemes. A simulation study is performed and an illustrative example is also given.
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