Characterizations and o-statistic representations of lu-statistics |
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| Authors: | Michale F Driscoll W. D. Laigh |
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| Affiliation: | 1. Department of Mathematics , Arizona State University , Tempe, AZ, 85287;2. Dept. of Math. Sciences , University of Texas , EL Paso, TX, 79968 |
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| Abstract: | The LU-statistics, that is, the class of all L-statistics that are also U-statistics, are characterised both via conditions on their coefficients and as linear combinations of the 0-statistics, which generalize the usual sample order statistics. The explicit computational formulas provided can be used to decide whether a given L-statistic is an LU-statistic and, if so, to find its kernel and its simplest 0-statistic representation. |
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| Keywords: | generalized order statistics L-statistics U-statistics combinatoric identities |
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