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Nonparametric predictive inference with combined data under different right-censoring schemes.

Coolen-Maturi, T. and Coolen, F.P.A. (2015) 'Nonparametric predictive inference with combined data under different right-censoring schemes.', Journal of statistical theory and practice., 9 (2). pp. 288-304.

Abstract

This paper presents nonparametric predictive inference (NPI) for meta-analysis in which multiple independent samples of lifetime data are combined, where different censoring schemes may apply to the different samples. NPI is a frequentist statistical approach based on few assumptions and with uncertainty quantified via lower and upper probabilities. NPI has the flexibility to deal with a mixture of different types of censoring, mainly because the inferences do not depend on counterfactuals, which affect several inferences for more established frequentist approaches. We show that the combined sample, consisting of differently censored independent samples, can be represented as one sample of progressively censored data. This allows explicit formulae for the NPI lower and upper survival functions to be presented which are generally applicable. The approach is illustrated through an example using a small data set from the literature, for which several scenarios are presented.

Item Type:Article
Keywords:Combined data, Lower and upper probability, Meta-analysis, Nonparametric predictive inference, Right-censoring, Progressive censoring, Lifetime data.
Full text:(AM) Accepted Manuscript
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Status:Peer-reviewed
Publisher Web site:http://dx.doi.org/10.1080/15598608.2014.886313
Publisher statement:This is an Accepted Manuscript of an article published by Taylor & Francis Group in Journal of Statistical Theory and Practice on 03/07/2014, available online at: http://www.tandfonline.com/10.1080/15598608.2014.886313.
Record Created:04 Jun 2014 10:05
Last Modified:07 Nov 2016 10:48

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