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- W2332328449 abstract "In this paper we compare the distribution of the supremum of the Gaussian random fields Z ( P ) = ∫ Cp G ( P, P′ ) dW ( P′ ) and U ( P ) = ∫ Cp dW ( P' ), where C P are circles of fixed radius, dW is a white noise field and G are special deterministic response functions. The results obtained permit us to establish upper bounds for the distribution of the supremum of Z(P) by applying some well-known inequalities on U(P). The comparison of the suprema is carried out also, when C P = ℝ 2 , between fields with different response functions." @default.
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- W2332328449 date "1989-12-01" @default.
- W2332328449 modified "2023-09-24" @default.
- W2332328449 title "On the comparison of the distribution of the supremum of random fields represented by stochastic integrals" @default.
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- W2332328449 doi "https://doi.org/10.1017/s0001867800019042" @default.
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