Non-central limit theorems for functionals of random fields on hypersurfaces
Keyword(s):
This paper derives non-central asymptotic results for non-linear integral functionals of homogeneous isotropic Gaussian random fields defined on hypersurfaces in ℝd. We obtain the rate of convergence for these functionals. The results extend recent findings for solid figures. We apply the obtained results to the case of sojourn measures and demonstrate different limit situations.
1987 ◽
Vol 24
(2)
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pp. 157-202
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2005 ◽
Vol 49
(1)
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pp. 77-92
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1993 ◽
Vol 44
(2)
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pp. 227-255
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1994 ◽
Vol 26
(01)
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pp. 104-121
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