کد مقاله کد نشریه سال انتشار مقاله انگلیسی نسخه تمام متن
1064577 1485797 2012 15 صفحه PDF دانلود رایگان
عنوان انگلیسی مقاله ISI
Level sets estimation and Vorob'ev expectation of random compact sets
موضوعات مرتبط
مهندسی و علوم پایه علوم زمین و سیارات علوم زمین و سیاره ای (عمومی)
پیش نمایش صفحه اول مقاله
Level sets estimation and Vorob'ev expectation of random compact sets
چکیده انگلیسی
The issue of a “mean shape” of a random set X often arises, in particular in image analysis and pattern detection. There is no canonical definition but one possible approach is the so-called Vorob'ev expectation EV(X), which is closely linked to level or quantile sets. In this paper, we propose a consistent and ready to use estimator of EV(X) built from independent copies of X with spatial discretisation. The control of discretisation errors is handled with a mild regularity assumption on the boundary of X. Several examples are developed and an application to cosmological data is presented.
ناشر
Database: Elsevier - ScienceDirect (ساینس دایرکت)
Journal: Spatial Statistics - Volume 2, December 2012, Pages 47-61
نویسندگان
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