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Binary Cumulants

โœ Scribed by David C. Torney

Publisher
Elsevier Science
Year
2000
Tongue
English
Weight
73 KB
Volume
25
Category
Article
ISSN
0196-8858

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โœฆ Synopsis

The binary cumulant is defined for joint probability distributions on binary sequences of finite length. The binary cumulant is bounded, in magnitude, by unity, and is shown to vanish if there exists any bipartition of the letter positions into statistically independent blocks. Probability distributions on binary n-sequences are shown to map injectively into their binary cumulants for all subsets of the set of letter positions. An inversion algorithm is established, recovering the joint distribution from its collection of binary cumulants.

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