Two different kinds of liminfs on the LIL for two-parameter Wiener processes

Stochastic Processes and their Applications

Volumn 63, Issue 2, 1996, Pages 175-188

  Zhang, Li Xin ^a  

^a ZHEJIANG UNIVERSITY   (China)

Author keywords

Chung type laws of the iterated logarithm; Laws of the iterated logarithm; Two parameter Wiener process

Indexed keywords

EID: 0030295442     PISSN: 03044149     EISSN: None     Source Type: Journal    
DOI: 10.1016/0304-4149(96)00069-5     Document Type: Article

References (7)

1. M. Csörgö and P. Révész, Strong Approximations in Probability and Statistics (Academic Press, New York, 1981).
2. C.G. Khatri, On certain inequalities for normal distributions and their applications to simultaneous confidence bounds, Ann. Math. Statist. 38 (1967) 1853-1867.
3. M.T. Lacey, A remark on the multiparameter law of the iterated logarithm, Stochastic Process Appl. 32 (1989) 355-367.
4. Q.M. Shao and D. Wang, Small ball probabilities of Gaussian fields, Probab. Theory Relat. Fields 102 (1995) 511-517.
5. Z. Šidák, On multivariate normal probabilities of rectangles: their dependence on correlation, Ann. Math. Statist. 39 (1968) 1425-1434.
6. M. Talagrand, The small ball problem for Brownian sheet, Ann. Probab. 22 (1994) 1331-1354.
7. L.X. Zhang, A liminf result on increments of a two-parameter Wiener process, preprint (1995), to appear in Chinese Ann. Math B.