Optimal progressive interval censoring plan under accelerated life test with limited budget

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Title:	Optimal progressive interval censoring plan under accelerated life test with limited budget
Authors:	Wu Shuo-Jye;Huang Syuan-Rong
Keywords:	D-optimality;E-optimality;maximum likelihood method;multiple constant stress;T-optimality;Weibull distribution
Date:	2019-08-25
Issue Date:	2019-09-19 12:10:47 (UTC+8)
Publisher:	Taylor & Francis
Abstract:	In this paper, we investigate some inference and design problems related to multiple constant-stress accelerated life test with progressive type-I interval censoring. A Weibull lifetime distribution at each stress-level combination is considered. The scale parameter of Weibull distribution is assumed to be a log-linear function of stresses. We obtain the estimates of the unknown parameters through the method of maximum likelihood, and also derive the Fisher's information matrix. The optimal number of test units, number of inspections, and length of the inspection interval are determined under D-optimality, T-optimality, and E-optimality criteria with cost constraint. An algorithm based on nonlinear mixed-integer programming is proposed to the optimal solution. The sensitivity of the optimal solution to changes in the values of the different parameters is studied.
Relation:	Journal of Statistical Computation and Simulation 89(17), p.3241-3257
DOI:	10.1080/00949655.2019.1658762
Appears in Collections:	[Graduate Institute & Department of Statistics] Journal Article

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