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Entropy 2014, 16(7), 3655-3669; doi:10.3390/e16073655
Article

An Estimation of the Entropy for a Rayleigh Distribution Based on Doubly-Generalized Type-II Hybrid Censored Samples

,
 and *
Department of Statistics, Pusan National University, Geumjeong-gu, Busan 609-735, Korea
* Author to whom correspondence should be addressed.
Received: 13 March 2014 / Revised: 9 June 2014 / Accepted: 26 June 2014 / Published: 1 July 2014
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Abstract

In this paper, based on a doubly generalized Type II censored sample, the maximum likelihood estimators (MLEs), the approximate MLE and the Bayes estimator for the entropy of the Rayleigh distribution are derived. We compare the entropy estimators’ root mean squared error (RMSE), bias and Kullback–Leibler divergence values. The simulation procedure is repeated 10,000 times for the sample size n = 10, 20, 40 and 100 and various doubly generalized Type II hybrid censoring schemes. Finally, a real data set has been analyzed for illustrative purposes.
Keywords: approximate MLE; Bayes estimation; doubly generalized Type II hybrid censoring; entropy; Rayleigh distribution approximate MLE; Bayes estimation; doubly generalized Type II hybrid censoring; entropy; Rayleigh distribution
This is an open access article distributed under the Creative Commons Attribution License which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.

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Cho, Y.; Sun, H.; Lee, K. An Estimation of the Entropy for a Rayleigh Distribution Based on Doubly-Generalized Type-II Hybrid Censored Samples. Entropy 2014, 16, 3655-3669.

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