Almost sure limit theorem for stationary Gaussian random fields

Hyemi Choi

doi:10.1016/j.jkss.2009.09.004

Almost sure limit theorem for stationary Gaussian random fields

Hyemi Choi^*

^*Corresponding author for this work

Department of Statistics

Research output: Contribution to journal › Journal article › peer-review

12 Scopus citations

Abstract

We obtain an almost sure version of a maximum limit theorem for stationary Gaussian random fields under some covariance conditions. As a by-product, we also obtain a weak convergence of the stationary Gaussian random field maximum, which is interesting independently.

Original language	English
Pages (from-to)	449-454
Number of pages	6
Journal	Journal of the Korean Statistical Society
Volume	39
Issue number	4
DOIs	https://doi.org/10.1016/j.jkss.2009.09.004
State	Published - 2010.12

Keywords

Almost sure limit theorem
Extreme value theory
Maximum
Stationary Gaussian random field

Quacquarelli Symonds(QS) Subject Topics

Mathematics
Statistics & Operational Research
Data Science

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10.1016/j.jkss.2009.09.004

Cite this

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title = "Almost sure limit theorem for stationary Gaussian random fields",

abstract = "We obtain an almost sure version of a maximum limit theorem for stationary Gaussian random fields under some covariance conditions. As a by-product, we also obtain a weak convergence of the stationary Gaussian random field maximum, which is interesting independently.",

keywords = "Almost sure limit theorem, Extreme value theory, Maximum, Stationary Gaussian random field",

author = "Hyemi Choi",

year = "2010",

month = dec,

doi = "10.1016/j.jkss.2009.09.004",

language = "English",

volume = "39",

pages = "449--454",

journal = "Journal of the Korean Statistical Society",

issn = "1226-3192",

number = "4",

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TY - JOUR

T1 - Almost sure limit theorem for stationary Gaussian random fields

AU - Choi, Hyemi

PY - 2010/12

Y1 - 2010/12

N2 - We obtain an almost sure version of a maximum limit theorem for stationary Gaussian random fields under some covariance conditions. As a by-product, we also obtain a weak convergence of the stationary Gaussian random field maximum, which is interesting independently.

AB - We obtain an almost sure version of a maximum limit theorem for stationary Gaussian random fields under some covariance conditions. As a by-product, we also obtain a weak convergence of the stationary Gaussian random field maximum, which is interesting independently.

KW - Almost sure limit theorem

KW - Extreme value theory

KW - Maximum

KW - Stationary Gaussian random field

UR - https://www.scopus.com/pages/publications/77957938948

U2 - 10.1016/j.jkss.2009.09.004

DO - 10.1016/j.jkss.2009.09.004

M3 - Journal article

AN - SCOPUS:77957938948

SN - 1226-3192

VL - 39

SP - 449

EP - 454

JO - Journal of the Korean Statistical Society

JF - Journal of the Korean Statistical Society

IS - 4

ER -

Almost sure limit theorem for stationary Gaussian random fields

Abstract

Keywords

Quacquarelli Symonds(QS) Subject Topics

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