Optimal progressive group censoring scheme under cost considerations for pareto distribution

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Title:	Optimal progressive group censoring scheme under cost considerations for pareto distribution
Authors:	Kuş, Coşkun;Akdoğan, Yunus;Wu, Shuo-Jye
Contributors:	淡江大學統計學系
Keywords:	grouped data;interval censoring;maximum-likelihood method;nonlinear mixed integer programming;variance optimality
Date:	2013-11-01
Issue Date:	2014-03-05 14:40:59 (UTC+8)
Publisher:	Abingdon: Routledge
Abstract:	In this article, optimal design under the restriction of pre-determined budget of experiment is developed for the Pareto distribution when the life test is progressively group censored. We use the maximum-likelihood method to obtain the point estimator of the Pareto parameter. We propose two approaches to decide the number of test units, the number of inspections, and the length of inspection interval under limited budget such that the asymptotic variance of estimator of Pareto parameter is minimum. A numerical example is given to illustrate the proposed method. Some sensitivity analysis is also studied.
Relation:	Journal of Applied Statistics 40(11), pp.2437-2450
DOI:	10.1080/02664763.2013.818107
Appears in Collections:	[Graduate Institute & Department of Statistics] Journal Article

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