Failure Extropy, Dynamic Failure Extropy and Their Weighted Versions

Kayal Suchandan ()
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Kayal Suchandan: Department of Mathematics, National Institute of Technology Rourkela, Rourkela769008, India

Stochastics and Quality Control, 2021, vol. 36, issue 1, 59-71

Abstract: Extropy was introduced as a dual complement of the Shannon entropy. In this investigation, we consider failure extropy and its dynamic version. Various basic properties of these measures are presented. It is shown that the dynamic failure extropy characterizes the distribution function uniquely. We also consider weighted versions of these measures. Several virtues of the weighted measures are explored. Finally, nonparametric estimators are introduced based on the empirical distribution function.

Keywords: Failure Extropy; Dynamic Failure Extropy; Weighted Random Variable; Stochastic Ordering; Nonparametric Estimators (search for similar items in EconPapers)
Date: 2021
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DOI: 10.1515/eqc-2021-0008

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