Open Access
June, 1961 Sampling Moments of Means from Finite Multivariate Populations
D. W. Behnken
Ann. Math. Statist. 32(2): 406-413 (June, 1961). DOI: 10.1214/aoms/1177705049


A method is described for deriving the sampling moments of means of random vectors obtained by sampling without replacement from a finite $k$-variate population of $n$ vector members. A table of results is presented listing the moments of order less than or equal to six as a function of the population moments. These moments were originally derived, in a less general form, in the course of developing the Simplex-Sum Designs discussed in [1]. Their possible wider applicability to sampling problems, however, motivated the extension of the work to the general formulas given here.


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D. W. Behnken. "Sampling Moments of Means from Finite Multivariate Populations." Ann. Math. Statist. 32 (2) 406 - 413, June, 1961.


Published: June, 1961
First available in Project Euclid: 27 April 2007

zbMATH: 0114.11201
MathSciNet: MR126919
Digital Object Identifier: 10.1214/aoms/1177705049

Rights: Copyright © 1961 Institute of Mathematical Statistics

Vol.32 • No. 2 • June, 1961
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