Acta mathematica scientia,Series B ›› 2010, Vol. 30 ›› Issue (5): 1605-1613.doi: 10.1016/S0252-9602(10)60153-1

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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

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

CLC Number: 

  • 60F15
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