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    Title: The simultaneous confidence intervals for all distances from the extreme populations for two-parameter exponential populations based on the multiply type II censored samples
    Authors: Wu, Shu-Fei;Yu, Yuh-Ru
    Contributors: 淡江大學統計學系
    Keywords: extreme populations;multiply type II censoring;simultaneous confidence intervals;subset selection;two-parameter exponential distribution
    Date: 2011
    Issue Date: 2013-07-16 16:04:25 (UTC+8)
    Publisher: Abingdon: Taylor & Francis Ltd.
    Abstract: Among k independent two-parameter exponential distributions which have the common scale parameter, the lower extreme population (LEP) is the one with the smallest location parameter and the upper extreme population (UEP) is the one with the largest location parameter. Given a multiply type II censored sample from each of these k independent two-parameter exponential distributions, 14 estimators for the unknown location parameters and the common unknown scale parameter are considered. Fourteen simultaneous confidence intervals (SCIs) for all distances from the extreme populations (UEP and LEP) and from the UEP from these k independent exponential distributions under the multiply type II censoring are proposed. The critical values are obtained by the Monte Carlo method. The optimal SCIs among 14 methods are identified based on the criteria of minimum confidence length for various censoring schemes. The subset selection procedures of extreme populations are also proposed and two numerical examples are given for illustration.
    Relation: Journal of Statistical Computation and Simulation 81(2), pp.137-165
    DOI: 10.1080/00949650903222335
    Appears in Collections:[統計學系暨研究所] 期刊論文

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