In this paper a melhod, using ordered partitions, for expressing powers and products of generalized h-statistics as linear combination of such statistics is given. Some general formulae for obtaining moments of h-statistics and their estimates, when sampling from a finite population, arc given. Finite semiinvariant moment formulae and their estimates through weight 8 are tabulated.ZusammellJ~tssung: In dieser Arbeit wird unter Benulzung von geordneten Zerlcgungen eine Melhode angegeben, Potenzen und Produkte von verallgemeinerten h-Statistiken als linearkombination eben dieser Statistiken auszudriJcken. Einige allgemeine Formeln werden angcgeben, um Momente von h-Statistiken und ihrc Absch~ilzungen zu erhalten, wenn man Stichprobcn aus einer endlichen Bevtilkerung auswiihlt. Endliche semiinvariante Momentenformeln und ihre Absch~itzungen durch Gewichte werden tabelliert.
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