Exact nonparametric meta-analysis for multiple independent doubly Type-II censored samples

被引：10

作者：

Volterman, William ^{[1
]}

Balakrishnan, N. ^{[1
]}

Cramer, Erhard ^{[2
]}

机构：

[1] McMaster Univ, Dept Math & Stat, Hamilton, ON L8S 4K1, Canada

[2] Rhein Westfal TH Aachen, Inst Stat, D-52056 Aachen, Germany

来源：

COMPUTATIONAL STATISTICS & DATA ANALYSIS | 2012年 / 56卷 / 05期

关键词：

Doubly Type-II censored sample; Nonparametric confidence intervals; Nonparametric prediction intervals; Nonparametric tolerance intervals; Mixtures; Pooled sample; Meta-analysis; CONFIDENCE-INTERVALS; SCALE PARAMETER; EXACT INFERENCE; PREDICTION;

D O I：

10.1016/j.csda.2011.10.012

中图分类号：

TP39 [计算机的应用];

学科分类号：

081203 ; 0835 ;

摘要：

Nonparametric inferential methods are discussed for the situation of multiple independent doubly Type-II censored samples. The basic distribution theory for the pooled sample is given assuming that the underlying distribution is continuous and it is demonstrated how the weights in the mixture representations of the pooled order statistics as a mixture of the usual order statistics can be obtained. This is used to construct nonparametric prediction intervals, tolerance intervals for a future sample, and confidence intervals for a population quantile. A small simulation study compares the exact coverage probabilities for population quantiles, to those obtained where the mixture weights are generated by simulation. (C) 2011 Elsevier B.V. All rights reserved.

引用

页码：1243 / 1255

页数：13

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