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Revista Colombiana de Estadística
Print version ISSN 0120-1751
Rev.Colomb.Estad. vol.45 no.2 Bogotá July/Dec. 2022 Epub Feb 01, 2023
https://doi.org/10.15446/rce.v45n2.96844
Artículos originales de investigación
On Cumulative Residual Renyi's Entropy
Sobre la entropía residual acumulada de Renyi
1 Department of Statistics, Faculty of Sciences, University of Mohaghegh Ardabili, Ardabil, Iran
At the entropy measures and their generalization path, in the direction of statistics and information science, recently, Sunoj & Linu (2012) proposed the cumulative residual Renyi's entropy of order a and its dynamic version and studied its main properties. In this paper, we introduce an alternative We also consider its dynamic version and study their main properties in the context of reliability theory and stochastic orders. We give an estimator of the proposed CRRE and investigate its exact and asymptotic distribution. Numerous examples illustrating the theory are also given.
Key words: Aging classes; Cumulative residual entropy, Mean residual lifetime, Stochastic orders, Shannon entropy, Tsallis entropy
En las medidas de entropía y su camino de generalización, en la dirección de las estadísticas y la ciencia de la información, recientemente, Sunoj & Linu (2012) propuso el residual acumulativo la entropía de Renyi de orden a este artículo presentamos una medida alternativa de la entropía residual consideramos su versión dinámica y estudiamos sus principales propiedades en el contexto de la teoría de la confiabilidad y los órdenes estocásticos. Damos un estimador del CRRE propuesto e investigamos su distribución exacta y asintótica. También se dan numerosos ejemplos que ilustran la teoría.
Palabras clave: Clases de envejecimiento; Entropía residual acumulada; Entropía de Shannon, Entropía de Tsallis; Vida útil residual media; Órdenes estocásticas
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Received: June 2021; Accepted: February 2022
This is an open-access article distributed under the terms of the Creative Commons Attribution License
