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ON A GENERAL DISTRIBUTION THEORY FOR A CLASS OF LIKELIHOOD RATIO CRITERIA
Author(s) -
Gupta A.K.,
Tang J.
Publication year - 1988
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.1988.tb00629.x
Subject(s) - series (stratigraphy) , mathematics , class (philosophy) , statistic , gamma distribution , distribution (mathematics) , moment (physics) , order statistic , statistics , calculus (dental) , statistical physics , mathematical analysis , computer science , physics , artificial intelligence , medicine , paleontology , dentistry , classical mechanics , biology
Summary In this paper the exact distribution of a statistic with general moment function has been derived in a gamma series and also in a beta series. It is shown that the Box expansion can be obtained from the gamma series by collecting terms of the same order.