Investigations in the General Theory of Statistical Decisions

GO Investigations in the General Theory of Statistical Decisions


Author: A. S. Holevo
Type: eBook
Language: English
Released: 1978
Publisher: Amer Mathematical Society
Page Count: 146
Format: djvu
ISBN-10: 0821830244
ISBN-13: 9780821830246
Tags:Investigations in the General Theory of Statistical Decisions, tutorials, pdf, djvu, chm, epub, ebook, book, torrent, downloads, rapidshare, filesonic, hotfile, fileserve


Description:
Following their introduction in the early 1980s, o-minimal structures have provided an elegant and surprisingly efficient generalization of semialgebraic and subanalytic geometry. This book gives a self-contained treatment of the theory of o-minimal structures from a geometric and topological viewpoint, assuming only rudimentary algebra and analysis. It starts with an introduction and overview of the subject. Later chapters cover the monotonicity theorem, cell decomposition, and the Euler characteristic in the o-minimal setting and show how these notions are easier to handle than in ordinary topology. The remarkable combinatorial property of o-minimal structures, the Vapnik-Chervonenkis property, is also covered. This book should be of interest to model theorists, analytic geometers and topologists.