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In this paper, we present simple explicit expressions for single and product moments of generalized order statistics from generalized Pareto distribution. These relations are deduced for the moments of order statistics and record values and tabulated the mean and variance of this distribution. Further, conditional expectation, recurrence relations for single as well as for product moments of generalized order statistics and truncated moment are used to characterize this distribution.


Order statistics record values generalized order statistics generalized Pareto distribution single moments product moments recurrence relations conditional expectation truncated moment and characterization

Article Details

Author Biographies

Bavita Singh, Aligarh Muslim University

Research Scholar, Department of Statistics and O.R.

Rafiqullah Khan, Aligarh Muslim University

Professor, Department of Statistics and O.R.

Mohammad Azam Khan, Aligarh Muslim University

Assistant Professor, Department of Statistics and O.R.
How to Cite
Singh, B., Khan, R., & Khan, M. A. (2021). Exact Moments of Generalized Pareto Distribution based on Generalized Order Statistics and Characterizations. Pakistan Journal of Statistics and Operation Research, 17(1), 213-226.


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