Some weak limit laws for the diameter of random point sets in bounded regions

• Tác giả: Wei Lao
• Ngôn ngữ: eng
• ISBN-13: 978-3866445703
• ISBN: KSP/1000019800
• Ký hiệu phân loại: 519.23 Random processes (Stochastic processes)
• Thông tin xuất bản: Karlsruhe : KIT Scientific Publishing, 2010
• Mô tả vật lý: 1 electronic resource (V, 139 p. p.)
• Bộ sưu tập: Tài liệu truy cập mở
• ID: 234278

Tóm tắt

This book establishes several weak limit laws for problems in geometric extreme value theory. We find the limit law of the maximum Euclidean distance of i.i.d. points, as the number of points tends to infinity, under certain assumptions on the underlying distribution. One of the methods is also applicable for some other functionals, such as the maximum area or the maximum perimeter of triangles formed by point triplets.