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CUMULANTS AND PARTITION LATTICES 1
Author(s) -
Speed T. P.
Publication year - 1983
Publication title -
australian journal of statistics
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.434
H-Index - 41
eISSN - 1467-842X
pISSN - 0004-9581
DOI - 10.1111/j.1467-842x.1983.tb00391.x
Subject(s) - cumulant , mathematics , partition function (quantum field theory) , partition (number theory) , statistical physics , combinatorics , statistics , physics , quantum mechanics
Summary The (joint) cumulant of a set of (possibly coincident) random variables is defined as an alternating sum of moments with appropriate integral coefficients. By exploiting properties of the Mobius function of a partition lattice some basic results concerning cumulants are derived and illustrations of their use given.