Computational comparison of the prediction intervals of future observation for three-parameter Pareto distribution with known shape parameter

被引:1
|
作者
Wu, Jong-Wuu
Lee, Wen-Chuan [1 ]
Chen, Sheau-Chiann
机构
[1] Chang Jung Christian Univ, Dept Int Business, Tainan 711, Taiwan
[2] Tamkang Univ, Dept Stat, Taipei 25137, Taiwan
[3] Natl Chiayi Univ, Dept Appl Math, Chiayi 60004, Taiwan
关键词
multiply type II censored samples; prediction interval; Pareto distribution; Monte Carlo simulation;
D O I
10.1016/j.amc.2007.01.013
中图分类号
O29 [应用数学];
学科分类号
070104 ;
摘要
We propose the weighted moments estimators (WMEs) of the location and scale parameters of Pareto distribution with known shape parameter under the multiply type II censored sample Y(r+1) < . . . < Y(r+k) < Y ((r+k+1+1)) < . . . < Y(n-s). Hence, we use these WMEs and best linear unbiased estimator (BLUE) of scale parameter to find pivotal quantities and obtain the prediction intervals of the jth future observation (Y(j), n - s < j <= n) based on the above censored sample. Finally, we give the Monte Carlo simulation to assess the computational comparison of these pivotal quantities for establishing prediction intervals of the jib future observation (Y(j), n - s < j _< n). (C) 2007 Elsevier Inc. All rights reserved.
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页码:150 / 178
页数:29
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