Moments of sample moments |
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| Authors: | Derrick S. Tracy |
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| Affiliation: | Department of Mathematics , University of Windsor , Windsor, Ontario, Canada |
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| Abstract: | The problem offinding expressions for sampling moments of sample moments has been ahistorically old one. This problem is treated here, with the use of partitions and multi partitions , for the univariate as well as the multivariate case. The systematic combinatorial approach minimizes the chance of omitting any contributions and making errors in their computation. Componentwise identification is made possible , soerrors can be located. From the complete set of general moment formulae, s pecial cases may be obtained by identifying identical variables. |
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| Keywords: | moments sampling moments finite population sampling without replacement partition multipartition power sum combinatorial approach |
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