卡方过程连续性的局部一致模

Pub Date : 2021-06-01 DOI:10.1214/22-ecp471

M. Marcus, J. Rosen

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引用次数: 0

摘要

设{ηi（t），t∈[0,1]}ki=1是η={η（t）、t∈[0]，1]}的独立副本，这是一个均值为零的连续高斯过程。设本文证明了如何从η的精确局部和均匀连续模量中获得Y k的精确局部（在0）和均匀连续模（在[0,1]上）。

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Local and uniform moduli of continuity of chi–square processes

Let { η i ( t ) , t ∈ [0 , 1] } ki =1 be independent copies of η = { η ( t ) , t ∈ [0 , 1] } , a mean zero continuous Gaussian process. Let This paper shows how exact local (at 0) and uniform moduli of continuity (on [0,1]) of Y k can be obtained from the exact local and uniform moduli of continuity of η .

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