J Austral Math Soc Ser A 44 pp171--196, 1988.

Cumultants and Partition Lattices V. Calculating Generalized k-Statistics

T. P. Speed and H. L. Silcock

(Received 1 October 1985; revised 5 January 1987)

Abstract

A method is developed for obtaining compact, easily computed and statistically interpretable expressions for the generalized k-statistics associated with multiply-indexed arrays of random variables such as those which arise in variance component analysis. These expressions will be used in the next paper in this series to give formulae for variances and covariances of estimates of components of variance.

1980 AMS Subject Classification: 62A05, 62J10

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Authors

T. P. Speed
H. L. Silcock
Division of Mathematics and Statistics, CSIRO, Canberra 2601, Australia.

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