Open AccessEstimation of the Residuals Entropy Function of Inverse Weibull Distribution Based on Generalized Type-II Hybrid Censored Samples
Author(s) -
Moshera A. M. Ahmad
Publication year - 2021
Publication title -
asian research journal of mathematics
Language(s) - English
Resource type - Journals
ISSN - 2456-477X
DOI - 10.9734/arjom/2021/v17i330281
Subject(s) - weibull distribution , mathematics , estimator , statistics , residual entropy , maximum entropy probability distribution , principle of maximum entropy , entropy (arrow of time) , residual , inverse , statistical physics , algorithm , physics , configuration entropy , quantum mechanics , geometry
Shannon’s entropy plays important role in the information theory. However, it can’t be applied to systems which have survived for some time. Therefore, the concept of residual entropy was developed. In this paper, the estimation of the entropy of a two-parameter inverse Weibull distribution based on the generalized type-II hybrid censored sample is considered. The Bayes estimator for the residual entropy of the Inverse Weibull distribution under the generalized type-II hybrid censored sample is given. Simulation experiments are conducted to see the effectiveness of the different estimators.