Binary cumulants

The binary cumulant is defined fur joint probability distributions on binar y sequences of finite length. Tnt: binary cumulant is bounded, in magnitude , by unity, and is shown to vanish if there exists any bipartition of the l etter positions into statistically independent blocks. Probability distribu tions on binary n-sequences are shown to map injectively into their binary cumulants for all subsets of the set of letter positions. An inversion algo rithm is established, recovering the joint distribution from its collection of binary cumulants. (C) 2000 Academic Press.