Estimation of Entropy for Generalized Exponential Distribution Based on Record Values
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.
KeywordsEntropy Record values Bayes estimators Importance sampling method
The authors are grateful to the referees for their valuable comments and suggestions.
- Renyi A (1961) On measures of entropy and information. In: Proceedings of the fourth Berkeley symposium on mathematics, statistics and probability. University of California Press, Berkeley, vol 1, pp 547–561Google Scholar
- Seo JI, Lee HJ, Kang SB (2012) Estimation for generalized half logistic distribution based on records. J Korean Data Inf Sci Soc 23:1249–1257Google Scholar