On Estimating the Residual Rényi Entropy under Progressive Censoring

Sarah Jomhoori and Fatemeh Yousefzadeh

Communications in Statistics - Theory and Methods, 2014, vol. 43, issue 10-12, 2395-2405

Abstract: In this article, the residual Rényi entropy (RRE) as a measure of uncertainty is considered in progressively Type II censored samples and some properties of it are investigated. The RRE of sth order statistic from a continuous distribution function is represented in terms of the RRE of the sth order statistic from uniform distribution. In general, we do not have a closed form for RRE of order statistics in most of distributions. This gives us a motivation for obtaining some bounds for RRE in progressively censored samples. In addition, two estimators are proposed for RRE. The performance of these estimators is compared using simulation studies.

Date: 2014
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Persistent link: https://EconPapers.repec.org/RePEc:taf:lstaxx:v:43:y:2014:i:10-12:p:2395-2405

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DOI: 10.1080/03610926.2013.851219

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