مشخصات پژوهش

صفحه نخست /Estimation After Selection ...
عنوان Estimation After Selection Under Reflected Normal Loss Function
نوع پژوهش مقاله چاپ شده
کلیدواژه‌ها Estimation after selection, Inadmissible estimators, Minimax estimators, Normal distribution, Reflected normal loss function
چکیده 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 .
پژوهشگران احمد پارسیان (نفر سوم)، نادر نعمت الهی (نفر دوم)، مهران نقی زاده قمی (نفر اول)