Moduli of continuity on the increments of l∞-valued Gaussian processes

被引：0

作者：

Kang, SY ^{[1
]}

Choi, YK ^{[1
]}

机构：

[1] Gyeongsang Natl Univ, Dept Math, Chinju 660701, South Korea

来源：

STOCHASTIC ANALYSIS AND APPLICATIONS, VOL 2 | 2002年

关键词：

l(infinity)-norm; regurarly varying function; Gaussian process;

D O I：

暂无

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

Moduli of continuity on the increments of an l(infinity)-valued Gaussian process are obtained via estimating upper bounds of large and small deviation probabilities on the suprema of the Gaussian process.

引用

页码：85 / 95

页数：11

共 7 条

[1] ERDOS-RENYI-TYPE LAWS APPLIED TO GAUSSIAN-PROCESSES [J].

CHOI, YK .

JOURNAL OF MATHEMATICS OF KYOTO UNIVERSITY, 1991, 31 (01) :191-217

[2]

CHOI YK, 2001, UNPUB STOCHASTIC ANA

[3] PATH PROPERTIES FOR L(INFINITY)-VALUED GAUSSIAN-PROCESSES [J].

CSORGO, M ;

LIN, ZY ;

SHAO, QM .

PROCEEDINGS OF THE AMERICAN MATHEMATICAL SOCIETY, 1994, 121 (01) :225-236

[4]

FERNIQUE X, 1964, CR HEBD ACAD SCI, V258, P6058

[5]

Hwang K. S., 1999, J KOREAN MATH, V36, P679

[6]

Leadbetter M. R., 1983, Springer Series in Statistics, DOI 10.1007/978-1-4612-5449-2

[7]

LIN ZY, INCREMENTS LINFINITY

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