عنوان
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Estimation After Selection Under Reflected Normal Loss Function
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نوع پژوهش
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مقاله چاپ شده
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کلیدواژهها
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Estimation after selection, Inadmissible estimators, Minimax estimators, Normal distribution, Reflected normal loss function
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چکیده
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Let X 1 and X 2 be two independent random variables from normal populations Π1, Π2 with different unknown location parameters θ1 and θ2, respectively and common known scale parameter σ. Let X (2) = max (X 1, X 2) and X (1) = min (X 1, X 2). We consider the problem of estimating the location parameter θ M (or θ J ) of the selected population under the reflected normal loss function. We obtain minimax estimators of θ M and θ J . Also, we provide sufficient conditions for the inadmissibility of invariant estimators of θ M and θ J .
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پژوهشگران
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احمد پارسیان (نفر سوم)، نادر نعمت الهی (نفر دوم)، مهران نقی زاده قمی (نفر اول)
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