A Modified Simultaneous Confidence Intervals for The Geometric Mean of Scale Parameters
學年 89
學期 1
出版（發表）日期 2000-12-01
作品名稱 A Modified Simultaneous Confidence Intervals for The Geometric Mean of Scale Parameters
作品名稱（其他語言）
著者 Wu, Shu Fei
單位 淡江大學統計學系
出版者 Taipei: Tamkang University
著錄名稱、卷期、頁數 International Journal of Information and Management Sciences 11(4), pp.45-59
摘要 Wu and Chen [5] proposed the equal tail simultaneous con dence intervals (SCI) for the scale parameters with their geometric mean for scale families including the normal and exponential populations. In this article, a modi ed SCI with moderately shorter expected length is investigated and proved to have shorter expected length. The Bonferroni inequality used to bound the probability of con dence intervals and the Pearsonian four moment approximation to the sampling distribution of the univariate log chi-square ratio statistic are utilized jointly to obtain the approximate critical values. In order to solve the problem of nonconvergence for some cases of combinations of population size and sample sizes, the ten points interpolation approximation method is employed here. Statistical tables to implement these procedures for the case of equal sample sizes are provided for use in practice. Finally, an asymptotic result applying the stabilized variance methodology in Kendall and Stuart [4] is also proposed.
關鍵字 Bonferroni Inequality;Pearsonian System;Simulation
語言 en_US
ISSN 1017-1819
期刊性質 國內
收錄於 EI
產學合作
通訊作者
審稿制度 否
國別 TWN
公開徵稿
出版型式 ,紙本
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