Local and uniform moduli of continuity of chi–square processes

IF 0.5 4区数学 Q4 STATISTICS & PROBABILITY

Electronic Communications in Probability Pub Date : 2021-06-01 DOI:10.1214/22-ecp471

M. Marcus, J. Rosen

引用次数: 0

Abstract

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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卡方过程连续性的局部一致模

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）。

本文章由计算机程序翻译，如有差异，请以英文原文为准。

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来源期刊

Electronic Communications in Probability 工程技术-统计学与概率论

CiteScore

1.00

自引率

0.00%

发文量

审稿时长

6-12 weeks

期刊介绍： The Electronic Communications in Probability (ECP) publishes short research articles in probability theory. Its sister journal, the Electronic Journal of Probability (EJP), publishes full-length articles in probability theory. Short papers, those less than 12 pages, should be submitted to ECP first. EJP and ECP share the same editorial board, but with different Editors in Chief.