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Resolution of Godambe's paradox
Author(s) -
Genest Christian,
Schervish Mark J.
Publication year - 1985
Publication title -
canadian journal of statistics
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.804
H-Index - 51
eISSN - 1708-945X
pISSN - 0319-5724
DOI - 10.2307/3314949
Subject(s) - argument (complex analysis) , epistemology , mathematical economics , point (geometry) , philosophy , mathematics , biochemistry , chemistry , geometry
Two versions of a statistical paradox involving an ancillarity principle have recently been proposed by Godambe (1979, 1982). In this note, we point out that the two versions of his paradox are actually quite different, and we resolve both of them by investigating their relationship to randomization. The first version of Godambe's paradox was criticized earlier by Good (1980), but we believe his argument to be flawed.