BAYESIAN ESTIMATION USING LINDLEY'S APPROXIMATION OF INVERTED KUMARASWAMY DISTRIBUTION BASED ON LOWER RECORD VALUES

BAYESIAN ESTIMATION USING LINDLEY'S APPROXIMATION OF INVERTED KUMARASWAMY DISTRIBUTION BASED ON LOWER RECORD VALUES

Sana, M. Faizan, A. A. Khan

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Abstract

In this paper, we have considered estimation of unknown parameters based on lower record values for Inverted Kumaraswamy distribution. Maximum likelihood and approximate Bayes estimators based on lower record values for unknown parameters of this distribution are obtained. Lindley's approximation (L-approximation) is used to obtain approximate Bayes estimators under DeGroot loss function based on lower record values. A Simulation study and a real data analysis are presented to illustrate the results.

Keywords

Bayesian estimation, Maximum likelihood estimation, Lindley's approxima- tion, Inverted Kumaraswamy distribution, DeGroot loss function.