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

William Volterman, N. Balakrishnan and Erhard Cramer

Computational Statistics & Data Analysis, 2012, vol. 56, issue 5, 1243-1255

Abstract: 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.

Keywords: Doubly Type-II censored sample; Nonparametric confidence intervals; Nonparametric prediction intervals; Nonparametric tolerance intervals; Mixtures; Pooled sample; Meta-analysis (search for similar items in EconPapers)
Date: 2012
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Citations: View citations in EconPapers (3)

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Persistent link: https://EconPapers.repec.org/RePEc:eee:csdana:v:56:y:2012:i:5:p:1243-1255

DOI: 10.1016/j.csda.2011.10.012

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