کد مقاله کد نشریه سال انتشار مقاله انگلیسی نسخه تمام متن
11029702 1646466 2019 8 صفحه PDF دانلود رایگان
عنوان انگلیسی مقاله ISI
Lift expectations of random sets
ترجمه فارسی عنوان
انتظارات از مجموعه های تصادفی را افزایش دهید
موضوعات مرتبط
مهندسی و علوم پایه ریاضیات آمار و احتمال
چکیده انگلیسی
It is known that the distribution of an integrable random vector ξ in Rd is uniquely determined by a (d+1)-dimensional convex body called the lift zonoid of ξ. This concept is generalised to define the lift expectation of random convex bodies. However, the unique identification property of distributions is lost; it is shown that the lift expectation uniquely identifies only one-dimensional distributions of the support function, and so different random convex bodies may share the same lift expectation. The extent of this nonuniqueness is analysed and it is related to the identification of random convex functions using only their one-dimensional marginals. Applications to construction of depth-trimmed regions and partial ordering of random convex bodies are also mentioned.
ناشر
Database: Elsevier - ScienceDirect (ساینس دایرکت)
Journal: Statistics & Probability Letters - Volume 145, February 2019, Pages 110-117
نویسندگان
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