کد مقاله کد نشریه سال انتشار مقاله انگلیسی نسخه تمام متن
10524791 957603 2005 24 صفحه PDF دانلود رایگان
عنوان انگلیسی مقاله ISI
B-splines and discretization in an inverse problem for Poisson processes
موضوعات مرتبط
مهندسی و علوم پایه ریاضیات آنالیز عددی
پیش نمایش صفحه اول مقاله
B-splines and discretization in an inverse problem for Poisson processes
چکیده انگلیسی
Recent results on quasi-maximum likelihood histogram sieve estimators in inverse problems for Poisson processes are generalized to B-spline sieves. The impact of discretization effects on strong L2 consistency and convergence rates are studied in detail. In particular, a “rates saturation effect”, caused by discretization, is demonstrated. Finite-sample implementation is proposed and tested in a Monte Carlo experiment with the Wicksell problem, which shows a superior performance of the new approach, when compared to other methods commonly used in that context. The proposed algorithm can also be used in cases with only approximately known folding kernel.
ناشر
Database: Elsevier - ScienceDirect (ساینس دایرکت)
Journal: Journal of Multivariate Analysis - Volume 93, Issue 1, March 2005, Pages 198-221
نویسندگان
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