Proceedings of the American Mathematical Society

ISSN 1088-6826(online) ISSN 0002-9939(print)



A result on multidimensional quantization

Authors: Eric B. Hall and Gary L. Wise
Journal: Proc. Amer. Math. Soc. 118 (1993), 609-613
MSC: Primary 60A10
MathSciNet review: 1129878
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Abstract: For any integer $ N > 1$, a probability space, a Gaussian random vector $ X$ defined on the space with a positive definite covariance matrix, and an $ N$-level quantizer $ Q$ are presented such that the random vector $ Q(X)$ takes on each of the $ N$ values in its range with equal probability and such that $ X$ and $ Q(X)$ are independent.

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Keywords: Multidimensional quantization, saturated nonmeasurable sets
Article copyright: © Copyright 1993 American Mathematical Society