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Estimation of Entropy for Generalized Exponential Distribution Based on Record Values

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Abstract

In this paper, estimation of entropy for generalized exponential distribution based on record values is considered. Maximum likelihood estimation and Bayes estimation for Shannon entropy and Renyi entropy have been considered based on record values. Bayes estimators are obtained using importance sampling method. A simulation study is performed to find the performance of the estimators developed in this paper. Inferential procedures developed in this paper have also been illustrated using real data.

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Acknowledgements

The authors are grateful to the referees for their valuable comments and suggestions.

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Correspondence to Manoj Chacko.

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Chacko, M., S., A.P. Estimation of Entropy for Generalized Exponential Distribution Based on Record Values. J Indian Soc Probab Stat 19, 79–96 (2018). https://doi.org/10.1007/s41096-018-0033-4

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  • DOI: https://doi.org/10.1007/s41096-018-0033-4

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