Recurrence Relations for Moments of Dual Generalized Order Statistics from Weibull Gamma Distribution and Its Characterizations
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Natural Sciences Publishing
Journal of Statistics Application & Probability
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In this paper, we establish explicit forms and new recurrence relations satisfied by the single and product moments of dual generalized order statistics from Weibull gamma distribution (WGD). The results include as particular cases the relations for moments of reversed order statistics and lower records. We present characterizations of WGD based on (i) recurrence relation for single moments, (ii) truncated moments of certain function of the variable and (iii) hazard function.
Mahmoud, M. A. W.; Abdel-Aty, Y.; Mohamed, N. M.; and Hamedani, Gholamhossein, "Recurrence Relations for Moments of Dual Generalized Order Statistics from Weibull Gamma Distribution and Its Characterizations" (2014). Mathematics, Statistics and Computer Science Faculty Research and Publications. 249.
Published version. Journal of Statistics Application & Probability, Vol. 3, No. 2 (2014): 189-199. DOI. © 2014 Natural Sciences Publishing. Used with permission.