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Large deviations for the maxima of some random fields

✍ Scribed by M.L Hogan; D Siegmund

Publisher
Elsevier Science
Year
1986
Tongue
English
Weight
980 KB
Volume
7
Category
Article
ISSN
0196-8858

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Let Z n p n = 1 2, , be a sequence of random vector fields on R l , and let Ο€ \* n = p ∈ R l Z n p = 0 denote the random set of zeros of Z n . We study the asymptotics of probabilities of the type P Ο€ \* n ∩ B = for subsets B βŠ‚ R l . Under suitable regularity conditions these probabilities are of th