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 | References | Similar Articles | Additional Information

Abstract: For any integer , a probability space, a Gaussian random vector defined on the space with a positive definite covariance matrix, and an -level quantizer are presented such that the random vector takes on each of the values in its range with equal probability and such that and are independent.

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Additional Information

DOI:
https://doi.org/10.1090/S0002-9939-1993-1129878-X

Keywords:
Multidimensional quantization,
saturated nonmeasurable sets

Article copyright:
© Copyright 1993
American Mathematical Society