数学物理学报(英文版) ›› 2010, Vol. 30 ›› Issue (5): 1605-1613.doi: 10.1016/S0252-9602(10)60153-1

• 论文 • 上一篇    下一篇

MODERATE DEVIATIONS FOR THE BESSEL CLOCK

王艳清|蒋辉   

  1. Information School, Zhongnan University of Economics and Law, Wuhan 430073, China
    School of Mathematics and Statistics, Wuhan University, Wuhan 430072, China; College of Science, Nanjing University of Aeronautics and Astronautics, Nanjing 210016, China
  • 收稿日期:2008-07-07 修回日期:2009-04-09 出版日期:2010-09-20 发布日期:2010-09-20
  • 基金资助:

    Research supported by the National Natural Science Foundation of China (10871153) and funded by the Revitalization Project of Zhongnan University of Economics and Law.

MODERATE DEVIATIONS FOR THE BESSEL CLOCK

 WANG Yan-Qing, JIANG Hui   

  1. Information School, Zhongnan University of Economics and Law, Wuhan 430073, China
    School of Mathematics and Statistics, Wuhan University, Wuhan 430072, China; College of Science, Nanjing University of Aeronautics and Astronautics, Nanjing 210016, China
  • Received:2008-07-07 Revised:2009-04-09 Online:2010-09-20 Published:2010-09-20

摘要:

By the method of change measures, the moderate deviations for the Bessel clock ∫t0ds/Xs(ν) is studied, where (Xt(ν), t ≥ 0) is a squared Bessel process with index ν>0. The rate function can be given explicitly. Furthermore, the functional moderate deviations for the Bessel clock are obtained.

关键词: Bessel process, Brownian motion, moderate deviations

Abstract:

By the method of change measures, the moderate deviations for the Bessel clock ∫t0ds/Xs(ν) is studied, where (Xt(ν), t ≥ 0) is a squared Bessel process with index ν>0. The rate function can be given explicitly. Furthermore, the functional moderate deviations for the Bessel clock are obtained.

Key words: Bessel process, Brownian motion, moderate deviations

中图分类号: 

  • 60F15