Minimax estimation of a multivariate normal mean under polynomial loss
نویسندگان
چکیده
منابع مشابه
Improved minimax estimation of a multivariate normal mean under heteroscedasticity
Consider the problem of estimating a multivariate normal mean with a known variance matrix, which is not necessarily proportional to the identity matrix. The coordinates are shrunk directly in proportion to their variances in Efron and Morris’ (J. Amer. Statist. Assoc. 68 (1973) 117–130) empirical Bayes approach, whereas inversely in proportion to their variances in Berger’s (Ann. Statist. 4 (1...
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Minimax estimation of multivariate normalmean under balanced loss function 1
This paper considers simultaneous estimation of multivariate normal mean vector using Zellner's(1994) balanced loss function when 2 is known and unknown. We show that the usual estimator X is minimax and obtain a class of minimax estimators which have uniformly smaller risk than the usual estimator X. Also, we obtain the proper Bayes estimator relative to balanced loss function and nd the minim...
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Let X be a random variable from a normal distribution with unknown mean θ and known variance σ2. In many practical situations, θ is known in advance to lie in an interval, say [−m,m], for some m > 0. As the usual estimator of θ, i.e., X under the LINEX loss function is inadmissible, finding some competitors for X becomes worthwhile. The only study in the literature considered the problem of min...
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ژورنال
عنوان ژورنال: Journal of Multivariate Analysis
سال: 1978
ISSN: 0047-259X
DOI: 10.1016/0047-259x(78)90070-2