Path properties of the primitives of a Brownian motion

Journal of the Australian Mathematical Society

Volumn 70, Issue 1, 2001, Pages 119-133

  Lin, Zhengyan ^a  

^a ZHEJIANG UNIVERSITY   (China)

Author keywords

Brownian motion; Large increments; Moduli of continuity; Primitive

Indexed keywords

EID: 0040970504     PISSN: 14467887     EISSN: None     Source Type: Journal    
DOI: 10.1017/s1446788700002317     Document Type: Article

References (7)

1. M. Csörgö and P. Révész, Strong approximations in probability and statistics (Academic Press, New York, 1981).
2. A. Lachal, 'Local asymptotic classes for the successive primitives of Brownian motion', Ann. Probab. 25 (1997), 1712-1734.
3. _, 'Regular points for the successive primitives of Brownian motion', J. Math. Kyoto Univ. 37 (1997), 99-119.
4. L. A. Shepp, 'Radon-Nikodym derivatives of Gaussian measures', Ann. Math. Statist. 37 (1966), 321-354.
5. G. Wahba, 'Improper priors, spline smoothing and the problem of guarding against model error in regression', J. Roy. Statist. Soc. Ser. B 40 (1978), 364-372.
6. _, 'Bayesian 'confidence intervals' for the cross-validated smoothing spline', J. Roy. Statist. Soc. Ser. B 45 (1983), 133-150.
7. H. Watanabe, 'An asymptotic property of Gaussian processes I', Trans. Amer. Math. Soc. 148 (1970), 233-248.