مشخصات پژوهش

عنوان	On Estimation Following Selection with Applications on k-Records and Censored Data
نوع پژوهش	مقاله چاپ شده
کلیدواژه‌ها	Admissible estimator, asymmetric loss function, estimation after selection, gamma distribution, invariant estimators, minimax estimator, k-record data, type-II censoring.
چکیده	Let X1 and X2 be two independent random variables from gamma populations Pi1,P2 with means alphaθ1 and alphaθ2 respectively, where alpha(> 0) is the common known shape parameter and θ1 and θ2 are scale parameters. Let X(1) ≤ X(2) denote the order statistics of X1 and X2. Suppose that the population corresponding to the largest X(2) (or the smallest X(1)) observation is selected. The problem of interest is to estimate the scale parameters θM (and θJ ) of the selected gamma population under an asymmetric scale invariant loss function.We characterize admissible estimators of θM (or θJ ) within the class of linear estimators of the form cX(2) (or cX(1)). In estimating θM,we derive a minimax estimator and provide sufficient conditions for the inadmissibility of arbitrary invariant estimators of θM. We apply our results to k-Records and censored data. Finally, we extend our results to a subclass of exponential family of distributions.
پژوهشگران	احمد پارسیان (نفر سوم)، نادر نعمت الهی (نفر دوم)، مهران نقی زاده قمی (نفر اول)