GENERALIZED PARETO DISTRIBUTION BASED ON GENERALIZED ORDER STATISTICS AND ASSOCIATED INFERENCE

Malik Mansoor Rashid and Kumar Devendra ()
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Kumar Devendra: Department of Statistics, Central University of Haryana, Mahendergarh, India .

Statistics in Transition New Series, 2019, vol. 20, issue 3, 57-79

Abstract: In this paper, we have considered the generalized Pareto distribution. Various structural properties of the distribution are derived including (quantile function, explicit expressions for moments, mean deviation, Bonferroni and Lorenz curves and Renyi entropy). We have provided simple explicit expressions and recurrence relations for single and product moments of generalized order statistics from the generalized Pareto distribution. The method of maximum likelihood is adopted for estimating the model parameters. For different parameter settings and sample sizes, the simulation studies are performed and compared to the performance of the generalized Pareto distribution.

Keywords: generalized order statistics; generalized Pareto distribution; single and product moment; recurrence relations; characterization and maximum likelihood estimation. (search for similar items in EconPapers)
Date: 2019
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Persistent link: https://EconPapers.repec.org/RePEc:vrs:stintr:v:20:y:2019:i:3:p:57-79:n:3

DOI: 10.21307/stattrans-2019-024

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