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Author:

Ogura, Yukio (Ogura, Yukio.) | Li, Shoumei (Li, Shoumei.) (Scholars:李寿梅) | Wang, Xia (Wang, Xia.)

Indexed by:

Scopus SCIE

Abstract:

We firstly discuss the topological properties of the space of upper semicontinuous functions, and then we obtain large deviation principles for random upper semicontinuous functions under various topologies. Finally, we prove moderate deviation principles for random sets and random upper semicontinuous functions.

Keyword:

Random upper semicontinuous functions Random sets Moderate deviations Large deviations

Author Community:

  • [ 1 ] [Li, Shoumei]Beijing Univ Technol, Dept Appl Math, Beijing 100022, Peoples R China
  • [ 2 ] [Wang, Xia]Beijing Univ Technol, Dept Appl Math, Beijing 100022, Peoples R China
  • [ 3 ] [Ogura, Yukio]Saga Univ, Dept Math, Saga 840, Japan

Reprint Author's Address:

  • 李寿梅

    [Li, Shoumei]Beijing Univ Technol, Dept Appl Math, Beijing 100022, Peoples R China

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Source :

STOCHASTIC ANALYSIS AND APPLICATIONS

ISSN: 0736-2994

Year: 2010

Issue: 2

Volume: 28

Page: 350-376

1 . 3 0 0

JCR@2022

ESI Discipline: MATHEMATICS;

JCR Journal Grade:4

CAS Journal Grade:4

Cited Count:

WoS CC Cited Count: 7

SCOPUS Cited Count: 7

ESI Highly Cited Papers on the List: 0 Unfold All

WanFang Cited Count:

Chinese Cited Count:

30 Days PV: 0

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