Symbolic computation of moments of sampling distributions

Authors:
E. Di Nardo;G. Guarino;D. Senato
Affiliations:
Dipartimento di Matematica e Informatica, Universití degli Studi della Basilicata, Viale dell'Ateneo Lucano 10, I-85100, Potenza, Italy;Medical School, Universití Cattolica del Sacro Cuore (Rome branch), Largo Agostino Gemelli 8, I-00168, Roma, Italy;Dipartimento di Matematica e Informatica, Universití degli Studi della Basilicata, Viale dell'Ateneo Lucano 10, I-85100, Potenza, Italy
Venue:
Computational Statistics & Data Analysis
Year:
2008

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Abstract

By means of the notion of umbrae indexed by multisets, a general method to express estimators and their products in terms of power sums is derived. A connection between the notion of multiset and integer partition leads immediately to a way to speed up procedures. Comparisons of computational times with known procedures show how this approach turns out to be more efficient in eliminating much unnecessary computation.