Statistical Inferences of a Two-Parameter Distribution with the Bathtub Shape Based on Progressive Censored Sample

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Title:	Statistical Inferences of a Two-Parameter Distribution with the Bathtub Shape Based on Progressive Censored Sample
Authors:	Wu, Shu-fei;Wu, Chin-chuan;Chou, Chi-hsiang;Lin, Huan-min
Contributors:	淡江大學統計學系
Keywords:	two-parameter distribution;bathtub shape;increasing failure rate function;shape parameter;type-II progressive censoring;testing hypothesis;confidence interval;confidence region
Date:	2011-03
Issue Date:	2012-08-14 11:59:27 (UTC+8)
Publisher:	Abingdon: Taylor & Francis
Abstract:	This study considers the hypothesis test and interval estimation of the shape parameter of a new two-parameter distribution with the bathtub shape or increasing failure rate function under type-II progressive censoring based on the proposed m pivotal quantities. The confidence region of two parameters of this distribution is also proposed. We give one numerical example to illustrate the proposed methods. Next, the Monte Carlo simulation is done to assess the behaviour of these pivotal quantities. Lastly, we find the optimal pivotal quantity based on the criteria of highest power, minimum confidence length and the minimum confidence region.
Relation:	Journal of Statistical Computation and Simulation 81(3), pp.315-329
DOI:	10.1080/00949650903334221
Appears in Collections:	[Graduate Institute & Department of Statistics] Journal Article

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