Characterizations of Continuous Univariate Distributions Based on the Truncated Moments of Functions of Order Statistics
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Studia Scientiarum Mathematicarum Hungarica
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Most of the well-known continuous univariate distributions are characterized based on a truncated moment of a function of the 1st order statistic or of the nth order statistic.
Hamedani, Gholamhossein, "Characterizations of Continuous Univariate Distributions Based on the Truncated Moments of Functions of Order Statistics" (2010). Mathematics, Statistics and Computer Science Faculty Research and Publications. 191.