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A Suprasystem of Probability Distributions
Author(s) -
Savageau M. A.
Publication year - 1982
Publication title -
biometrical journal
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 1.108
H-Index - 63
eISSN - 1521-4036
pISSN - 0323-3847
DOI - 10.1002/bimj.4710240402
Subject(s) - mathematics , probability distribution , generality , inverse chi squared distribution , distribution (mathematics) , simple (philosophy) , inverse distribution , distribution fitting , statistics , mathematical analysis , heavy tailed distribution , psychology , philosophy , epistemology , psychotherapist
A set of differential equations is described whose solutions represent a general system of probability distribution functions. Previously reported systems of such distribution functions are special cases of this general system. The differential equations can be used to represent distribution functions and generate their related statistics in cases for which no simple formula for the distribution is known. The generality of this suprasystem of distribution functions and its potential utility are discussed.