SEARCH WITHIN CONTENT
Mansoor Rashid Malik / Devendra Kumar *
Citation Information : Statistics in Transition New Series. Volume 20, Issue 3, Pages 57-79, DOI: https://doi.org/10.21307/stattrans-2019-024
License : (CC BY-NC-ND 4.0)
Received Date : 21-February-2018 / Published Online: 04-September-2019
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.
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