ESTIMATION OF A COMMON MEAN WITH SYMMETRICAL LOSS

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  • Estimation of a Common Mean with Symmet

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Consider the problem of estimating common mean μ of several normal populations with possibly different unknown variances. When the loss is a nondecreasing concave function of |_??_-μ|r for r>0, the paper gives sufficient conditions under which a combined estimator has a smaller risk than each sample mean.

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