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Bounds for moments through a general orthogonal expansion in a pre-hilbert space-I |
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| Authors: | A M Mathai |
| Abstract: | Bounds are obtained for the product moments of an arbitrary finite number of ordered random variables. These bounds are obtained with the help of a representation of an arbitrary function in terms of a complete orthonormal system in a pre-Hilbert space of square integrable functions defined in a k-dimensional unit cube. |
| Keywords: | Order statistics bounds for moments orthogonal expansions pre-Hilbert space product moments of order statistics square integrable functions in a unit cube |