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An empirical Bayes rule for testing simple hypothesis against simple alternative
Author(s) -
Houwelingen J. C.
Publication year - 1974
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.1467-9574.1974.tb00749.x
Subject(s) - simple (philosophy) , bayes' theorem , mathematics , alternative hypothesis , statistical hypothesis testing , computer science , calculus (dental) , econometrics , bayesian probability , statistics , null hypothesis , medicine , dentistry , philosophy , epistemology
Summary This paper gives a short introduction into the empirical B ayes approach. To illustrate this approach the classical problem of testing a simple hypothesis against a simple alternative is discussed. Some explicit results are given for testing H o : N(‐ 1, 1) against H,: N( 1, 1). This paper is a further elaboration of section 3.1 of the author's dissertation W an H ouwelingen (1973)).