The simultaneous confidence intervals for all distances from the extreme populations for two-parameter exponential populations based on the multiply type II censored samples
學年 99
學期 1
出版（發表）日期 2011-01-01
作品名稱 The simultaneous confidence intervals for all distances from the extreme populations for two-parameter exponential populations based on the multiply type II censored samples
作品名稱（其他語言）
著者 Wu, Shu-Fei; Yu, Yuh-Ru
單位 淡江大學統計學系
出版者 Abingdon: Taylor & Francis Ltd.
著錄名稱、卷期、頁數 Journal of Statistical Computation and Simulation 81(2), pp.137-165
摘要 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.
關鍵字 extreme populations; multiply type II censoring; simultaneous confidence intervals; subset selection; two-parameter exponential distribution
語言 en_US
ISSN 1563-5163 0094-9655
期刊性質 國外
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產學合作
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國別 GBR
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