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Some General Identities among Single Moments of Order StatisticsKeywords: exponential distribution , Legendre polynomials , combinatorial identities , recurrence relations , moments , Order statistics , uniform distribution , power function distribution Abstract: In this study, we derive some general identities among c.d.f.’s and single moments of order statistics by using Legendre polynomials in the interval [a,b]. These identities are then applied to obtain some new combinatorial identities. These results generalize some of the earlier results in this direction.
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