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www.jstor.org/stable/2236754
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risk function of "invariant" decision functions. 2. Statement and reduction of the problem. The problem of testing a simple statistical hypothesis against a simple ...
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www.jstor.org/stable/2238923
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Therefore, every invariant decision rule has. (3.1) db(X) = (X + bi, X + b2) for some b = (b1, b2). Since the risk function for db(X) is independent of 0. (Blackwell ...
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projecteuclid.org/euclid.aoms/1177728591
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For all sufficiently large $n$, decision functions are found whose risks are uniformly close to the envelope risk function of "invariant" decision functions.
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qir.kyushu-u.ac.jp/dspace/bitstream/2324/12968/1/p057.p...
qir.kyushu-u.ac.jp/dspace/bitstream/2324/12968/1/p057.pdf
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60Akio. KuDO of decision functions invariant under the transformation group (B). This would be only the justification for confining ourselves to a class of invariant ...
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qir.kyushu-u.ac.jp/dspace/bitstream/2324/13091/1/p019.p...
qir.kyushu-u.ac.jp/dspace/bitstream/2324/13091/1/p019.pdf
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Fraser [2] and show the completeness of the class of all decision functions based on the sufficient statistic. In § 4 we consider an invariant decision problem ...
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www.stat.ncsu.edu/information/library/mimeo.archive/ISM...
www.stat.ncsu.edu/information/library/mimeo.archive/ISMS_1953_68.pdf
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"Consistent" Estimation of a Proportion. 13. 5. Non-Simple Decision Functions ~*. 18. 6. Invariant and R-Invariant Decision Functions. 23. 7. Bayes and Minimax ...
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pluto.huji.ac.il/~yaacov/Poisson-EB5.pdf
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The optimality of the empirical Bayes decision within the larger class of permutational invariant decision functions is shown in Greenshtein and Ritov. ( 2009).
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epub.wu.ac.at/1138/1/document.pdf
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We are, thus, faced with the problem of modifying the assertion of Blyth's theorem in order to cover situations with invariant decision functions. This is done in the ...
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www.apronus.com/math/ferguson1967.htm
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Invariant Decision Problems; Invariant Decision Rules; Admissible and ... of a Normal Distribution; The Pitman Estimate; Estimation of a Distribution Function ...
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www.scs.gmu.edu/~jgentle/csi9723/08s/restricted/equivar...
www.scs.gmu.edu/~jgentle/csi9723/08s/restricted/equivariance.pdf
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to denote this kind of equivariance. 8.1.2 Invariant and Equivariant Statistical Procedures. We will denote a general statistical decision function by T. This is a ...
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