Design of optimal step–stress accelerated life tests under progressive type I censoring with random removals

Autor:	Lii-Yuh Leu, Kuan-Fu Shen, Yu-Jan Shen
Rok vydání:	2010
Předmět:	Statistics and Probability General Social Sciences Variance (accounting) Censoring (statistics) Accelerated life testing Exponential function Stress (mechanics) Binomial distribution symbols.namesake Delta method Statistics symbols Fisher information Mathematics
Zdroj:	Quality & Quantity. 45:587-597
ISSN:	1573-7845 0033-5177
DOI:	10.1007/s11135-010-9315-y
Popis:	This paper considers the analysis of exponential distributed lifetime data observed under k-stage step–stress accelerated life test under progressive type I censoring with random removal (PCRR), where the number of units removed at each stress follows a binomial distribution. We compute the expected Fisher information matrix of the maximum likelihood estimator of the log mean life at design (use) stress. The problem of choosing the optimal time τi, i = 1, . . . , k − 1 under k-stage step–stress is addressed using variance (V)-optimality as well as determinant (D)-optimality criteria. An illustrative example is provided with discussion.
Databáze:	OpenAIRE
Externí odkaz:	https://explore.openaire.eu/search/publication?articleId=doi_________::8e41dd4b016efc6fc42f9c794aaf5feb https://doi.org/10.1007/s11135-010-9315-y Zobrazit plný text záznamu Full text from SpringerLink