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2019•Journal of Statistical Theory and ApplicationsOpen access

Relations for Moments of Dual Generalized Order Statistics from Exponentiated Rayleigh Distribution and Associated Inference

Mohammad Azam Khan, R. U. Khan, B. Singh

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Abstract

In this paper we obtain exact expressions and some recurrence relations satisfied by single and product moments of dual generalized order statistics from exponentiated Rayleigh distribution.These relations are deduced for moments of order statistics and lower record values.Further, conditional expectation, recurrence relations for single moments and truncated moment are used to characterize this distribution.

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In this paper we obtain exact expressions and some recurrence relations satisfied by single and product moments of dual generalized order statistics from exponentiated Rayleigh distribution.These relations are deduced for moments of order statistics and lower record values.Further, conditional expectation, recurrence relations for single moments and truncated moment are used to characterize this distribution.

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Available abstract

In this paper we obtain exact expressions and some recurrence relations satisfied by single and product moments of dual generalized order statistics from exponentiated Rayleigh distribution.These relations are deduced for moments of order statistics and lower record values.Further, conditional expectation, recurrence relations for single moments and truncated moment are used to characterize this distribution.

Key concepts: Mathematics, Order statistic, Rayleigh distribution, Statistics, Dual (grammatical number), Inference, Applied mathematics, Econometrics

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