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Cumulants and Partition Lattices V. Calculating Generalized k-Statistics

Part of: Linear inference, regression

Published online by Cambridge University Press:  09 April 2009

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

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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.

Keywords

cumulantk-statisticanalysis of variance

MSC classification

Secondary: 62J10: Analysis of variance and covariance
Type
Research Article
Information
Journal of the Australian Mathematical Society , Volume 44 , Issue 2 , April 1988 , pp. 171 - 196
Copyright
Copyright © Australian Mathematical Society 1988

References

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