Abstract

ZARDASHT, Vali. On Cumulative Residual Renyi's Entropy. Rev.Colomb.Estad. [online]. 2022, vol.45, n.2, pp.257-273.  Epub Feb 01, 2023. ISSN 0120-1751.  https://doi.org/10.15446/rce.v45n2.96844.

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.

Keywords : Aging classes; Cumulative residual entropy, Mean residual lifetime, Stochastic orders, Shannon entropy, Tsallis entropy.

        · abstract in Spanish     · text in English     · English ( pdf )