The Geometry of Random Fields

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SIAM, 1981 - Random fields - 280 pages
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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 nonsmooth random fields; closed form expressions for the 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. Audience: 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.
 

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Contents

CL62_ch1
1
CL62_ch2
22
CL62_ch3
39
CL62_ch4
66
CL62_ch5
93
CL62_ch6
122
CL62_ch7
168
CL62_ch8
184
CL62_appendixa
253
CL62_backmatter
263
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