A NOTE ON CHARACTERIZATIONS OF DISTRIBUTIONS BY REGRESSIONS OF NON-ADJACENT GENERALIZED ORDER STATISTICS |
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| Authors: | Mariusz Bieniek |
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| Affiliation: | Maria Curie Skłodowska University |
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| Abstract: | We investigate the problem of characterizations of distributions by regressions of generalized order statistics (GOSs) based on a continuous distribution function F . We show that F is uniquely determined if the regressions of a GOS given two other consecutive GOSs are known. |
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| Keywords: | characterization conditional expectation generalized order statistics Meijer's  -function |
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