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Note on the generation of most probable frequency distributions
Author(s) -
Lisman J. H. C.,
Zuylen M. C. A. van
Publication year - 1972
Publication title -
statistica neerlandica
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.52
H-Index - 39
eISSN - 1467-9574
pISSN - 0039-0402
DOI - 10.1111/j.1467-9574.1972.tb00152.x
Subject(s) - mathematics , distribution (mathematics) , probability distribution , frequency distribution , statistical physics , statistics , mathematical analysis , physics
Summary The most probable distribution of a stochastic variable is obtained by maximizing the entropy of its distribution under given constraints, by applying Lagrange's procedure. The constraints then determine the type of frequency distribution. The above holds for continuous as well as for discrete distributions. In this note we give a survey of various constraints and the corresponding frequency distributions.