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Teoriya Veroyatnostei i ee Primeneniya, 1974, Volume 19, Issue 3, Pages 501–513
(Mi tvp2923)
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A limit theorem for the length of contours generated by crossings of the zero level by Gaussian fields
T. L. Malevich Tashkent
Abstract:
We prove that the sum of the lengths of contours arising from crossing of the zero level by a Gaussian field which are contained in $[0,T]\times[0,T]$ is asymptotically normal as $T\to\infty$.
Citation:
T. L. Malevich, “A limit theorem for the length of contours generated by crossings of the zero level by Gaussian fields”, Teor. Veroyatnost. i Primenen., 19:3 (1974), 501–513; Theory Probab. Appl., 19:3 (1975), 474–486
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https://www.mathnet.ru/eng/tvp2923 https://www.mathnet.ru/eng/tvp/v19/i3/p501
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Abstract page: | 156 | Full-text PDF : | 64 |
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