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The Geometry of Random Fields
Robert J. Adler
出版
SIAM
, 2010-01-28
主題
Mathematics / Probability & Statistics / General
Mathematics / Calculus
Mathematics / Geometry / General
ISBN
0898716934
9780898716931
URL
http://books.google.com.hk/books?id=ryejJmJAj28C&hl=&source=gbs_api
EBook
SAMPLE
註釋
Originally published in 1981, The Geometry of Random Fields remains an important text for its coverage and exposition of the theory of both smooth and non-smooth random fields; closed form expressions for various geometric characteristics of the excursion sets of smooth, stationary, Gaussian random fields over N-dimensional rectangles; descriptions of the local behavior of random fields in the neighborhoods of high maxima; and a treatment of the Markov property for Gaussian fields. The Geometry of Random Fields is essential reading for researchers in probability and statistics, with no prior knowledge of geometry required. Since the book was originally published it has become a standard reference in areas of physical oceanography, cosmology, and neuroimaging. It is written at a level accessible to nonspecialists, including advanced undergraduates and early graduate students.