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On the Convergence of Product Moments

Published online by Cambridge University Press:  20 November 2018

L. K. Chan
L. K. Chan*
Affiliation:
University of Western Ontario, Supported by National Research, Council of Canada Grant
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Let Ⓗ be an abstract space and for every positive integer n let Fn, θ(x, y), θ ∈ Ⓗ, be a family of distribution n, 0 function s ofrandom variables (Xn, Yn)θ, θ ∈ Ⓗ. Forevery θ ∈ Ⓗ, Eθg (Xn, Yn) will denote theexpected value of the function g of (Xn, Yn )θ. The following proposition is proved.

Information

Type
Research Article
Information
Canadian Mathematical Bulletin , Volume 10 , Issue 4 , October 1967 , pp. 513 - 518
Copyright
Copyright © Canadian Mathematical Society 1967

References

1. Graves, L. M., The Theory of Functions of Real Variables, McGraw-Hill Book Co. Inc., New York, 1956.Google Scholar