Optimal parameter estimation of the two-parameter bathtub-shaped lifetime distribution based on a type II right censored sample

Autor:	Chin-Chuan Wu, Mei-Huei Tsai, Jong-Wuu Wu
Rok vydání:	2005
Předmět:	Exact statistics Computational Mathematics Optimal estimation Estimation theory Applied Mathematics Statistics Failure rate Function (mathematics) Rate function Confidence interval Mathematics Confidence region
Zdroj:	Applied Mathematics and Computation. 167:807-819
ISSN:	0096-3003
DOI:	10.1016/j.amc.2004.06.133
Popis:	This paper proposes different types of exact (or approximate) confidence intervals and exact (or approximate) joint confidence regions for the parameters of the two-parameter lifetime distribution with bathtub-shaped or increasing failure rate (IFR) function based on a type II right censored sample. Moreover, we provide optimal criteria for finding a best exact (or approximate) confidence interval and a best exact (or approximate) joint confidence region among these estimations. Two examples are used to compare our proposed method to the existing approach of [Statistics & Probability Letters 49 (2000) 155].
Databáze:	OpenAIRE
Externí odkaz:	https://explore.openaire.eu/search/publication?articleId=doi_________::816c8c20a316861ca8e8e440d8e91ae7 https://doi.org/10.1016/j.amc.2004.06.133 Zobrazit plný text záznamu Full Text from ScienceDirect