LINEAR TRANSFORMATION OF BINARY RANDOM VECTORS AND ITS APPLICATION TO APPROXIMATING PROBABILITY DISTRIBUTIONS.

Tzay Y. Young, Philip S. Liu

Research output: Contribution to journalArticle

4 Citations (Scopus)

Abstract

A nonsingular transformation of binary-valued random vectors y equals xA which minimizes a mutual information criterion I(y) is considered. It is shown that a nonsingular A exists such that I(y) equals 0 if and only if x has a generalized binomial distribution. Computational algorithms for seeking an optimal A are developed, and dimensionality reduction is discussed briefly. This linear transformation is useful in improving the approximation of probability distributions. Numerical examples are presented.

Original languageEnglish
Pages (from-to)152-156
Number of pages5
JournalIEEE Transactions on Information Theory
VolumeIT-24
Issue number2
StatePublished - Mar 1 1978

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Linear transformations
Probability distributions

ASJC Scopus subject areas

  • Information Systems
  • Electrical and Electronic Engineering

Cite this

LINEAR TRANSFORMATION OF BINARY RANDOM VECTORS AND ITS APPLICATION TO APPROXIMATING PROBABILITY DISTRIBUTIONS. / Young, Tzay Y.; Liu, Philip S.

In: IEEE Transactions on Information Theory, Vol. IT-24, No. 2, 01.03.1978, p. 152-156.

Research output: Contribution to journalArticle

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