Abstract

This paper introduces a misclassified size-biased Poisson-Lindley distribution by compounding the size-biased Poisson distribution with the size-biased Lindley distribution. The Bayes estimation for the misclassified size-biased Poisson-Lindley distribution is investigated and compared with the Maximum Likelihood estimation. A real dataset is discussed to demonstrate the suitability and applicability of the proposed distribution in the modeling count dataset. Finally, a Monte Carlo simulation study of 100000 simulated data is presented to investigate and compare the Bayes estimators and Maximum Likelihood estimators in terms of simulated risk for different sample sizes and varying parameters value

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