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On weighted generalized entropy for double truncated distribution with applications

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  • Shivangi Singh
  • Chanchal Kundu

Abstract

The notion of weighted Renyi’s entropy for truncated random variables has recently been proposed in the information-theoretic literature. In this paper, we introduce a generalized measure of it for double truncated distribution, namely weighted generalized interval entropy (WGIE), and study it in the context of reliability analysis. Several properties, including monotonicity, bounds and uniqueness of WGIE are investigated. Moreover, the proposed measure is estimated using parametric approach and a simulation study is carried out to demonstrate the performance of the estimates for a real data set. The role of WGIE in reliability modeling has been investigated. We also provide an application of the proposed concept in coding theory.

Suggested Citation

  • Shivangi Singh & Chanchal Kundu, 2024. "On weighted generalized entropy for double truncated distribution with applications," Communications in Statistics - Theory and Methods, Taylor & Francis Journals, vol. 53(9), pages 3102-3122, May.
    • Handle: RePEc:taf:lstaxx:v:53:y:2024:i:9:p:3102-3122
    DOI: 10.1080/03610926.2022.2150821
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