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Product Spacings for the Estimation of the Parameters of the Exponentiated Pareto Distribution

Rajwant K. Singh, Arun Kaushik, Sanjay K. Singh, Umesh Singh

Abstract



In this paper, we have considered the problem of point estimation of the parameters of exponentiated pareto distribution. We have obtained the maximum product spacings estimators and Bayes estimators using product spacings. The method of product of spacings has also been used to estimate the reliability and hazard functions. We have developed a method to obtain the asymptotic confidence intervals of the parameters based on the product spacings. Further, we have obtained the maximum likelihood estimators and corresponding Bayes estimators. The estimators, thus, obtained have been compared for their risks through Monte Carlo Simulation studies. Moreover, the comparison between MPS method and Bayesian likelihood method on estimating the endpoints are also presented. Finally, the proposed procedures have been illustrated through a real data set.

Keywords


Exponentiated Pareto distribution, product spacings (PS), maximum likelihood estimation, Bayesian estimation, interval estimation.

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