کد مقاله کد نشریه سال انتشار مقاله انگلیسی نسخه تمام متن
1149498 957882 2012 9 صفحه PDF دانلود رایگان
عنوان انگلیسی مقاله ISI
Asymptotically optimum estimation of a probability in inverse binomial sampling under general loss functions
موضوعات مرتبط
مهندسی و علوم پایه ریاضیات ریاضیات کاربردی
پیش نمایش صفحه اول مقاله
Asymptotically optimum estimation of a probability in inverse binomial sampling under general loss functions
چکیده انگلیسی
The optimum quality that can be asymptotically achieved in the estimation of a probability p using inverse binomial sampling is addressed. A general definition of quality is used in terms of the risk associated with a loss function that satisfies certain assumptions. It is shown that the limit superior of the risk for p asymptotically small has a minimum over all (possibly randomized) estimators. This minimum is achieved by certain non-randomized estimators. The model includes commonly used quality criteria as particular cases. Applications to the non-asymptotic regime are discussed considering specific loss functions, for which minimax estimators are derived.
ناشر
Database: Elsevier - ScienceDirect (ساینس دایرکت)
Journal: Journal of Statistical Planning and Inference - Volume 142, Issue 10, October 2012, Pages 2862-2870
نویسندگان
,