CLT for L^{p} moduli of continuity of Gaussian processes

Details CLT for L^{p} moduli of continuity of Gaussian processes CLT for L^{p} moduli of continuity of Gaussian processes

2006-10-29

arxiv.org/abs/math/0610894v1

Mathematics

Probability

Scientific paper

Let G=\{G(x),x\in R^1\} be a mean zero Gaussian processes with stationary increments and set \si ^2(|x-y|)= E(G(x)-G(y))^2. Let f be a symmetric function with Ef(\eta)<\ff, where \eta=N(0,1). When \si^2(s) is concave or when \si^2(s)=s^r$, $1

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