The finite range distribution is one of the well-established probability distributions used by many of the researchers for the purpose of reliability and Bayesian analysis. This paper presents the Bayesian estimation of the residual entropy function of the finite range distribution using type II censored data. Residual entropy, the modified form of Shannon entropy has a very significant role in the reliability analysis. It gives the motive for the major focus of this paper to estimate the residual entropy and cumulative residual entropy of the type II censored finite range distribution model using Bayesian analysis. In our study, we use different symmetric and asymmetric loss functions and thereby compute the corresponding entropy functions associated with. The performance of the obtained estimators is evaluated using the simulated data sets.

residual entropy, cumulative residual entropy, loss functions, Bayesian analysis, type II censoring.

Received: December 31, 2020; Accepted: January 11, 2021; Published: February 8, 2021

How to cite this article: N. R. Athira and E. S. Jeevanand, On residual entropy function of finite range distribution with type II censoring, Far East Journal of Theoretical Statistics 61(1) (2021), 61-74. DOI: 10.17654/TS061010061

This Open Access Article is Licensed under Creative Commons Attribution 4.0 International License

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