Relations for m-generalized order statistics via an Opial-type inequality |
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| Authors: | Agnieszka Goroncy Udo Kamps |
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| Institution: | 1. Nicolaus Copernicus University, Chopina 12/18, 87100 Toruń, Poland;2. Institute of Statistics, RWTH Aachen University, D-52056 Aachen, Germany |
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| Abstract: | An Opial-type inequality is applied to obtain relations for expectations of functions of m-generalized order statistics (m-gOSs), their distribution functions, as well as moment-generating functions. Respective inequalities for common order statistics and record values are contained as particular cases. |
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| Keywords: | Generalized order statistics Opial-type inequality Order statistics Record values Moments Inverse moments |
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