On superior limits for the increments of Gaussian processes

Statistics and Probability Letters

Volumn 35, Issue 3, 1997, Pages 289-296

  Hwang, Kyo Shin ^a   Choi, Yong Kab ^a   Jung, Jong Soo ^b  

^a Gyeongsang National University   (South Korea)

^b Dong A University   (South Korea)

Author keywords

Gaussian process; Law of iterated logarithm; Law of large numbers; Regularly varying function and Borel Cantelli lemma; Wiener process

Indexed keywords

EID: 0031572690     PISSN: 01677152     EISSN: None     Source Type: Journal    
DOI: 10.1016/s0167-7152(97)00025-4     Document Type: Article

References (4)

1. Choi, Y.K., 1991. Erdös-Eényi type laws applied to Gaussian processes, Doct. Diss., J. Math. Kyoto Univ. 31-1, 191-217.
2. Fernique, X., 1975. Evaluations of processus Gaussiens cpmposes, Probability in Banach Spaces, vol. 526, Oberwalbach, Lecture Notes in Mathematics, Springer, Berlin, pp. 67-83.
3. Slepian, D., 1962. The one-sided barrier problem for Gaussian noise, Bell. System Tech. J. 41, 463-501.
4. Vasudeva, R., Savitha, S., 1993. On the increments of Wiener process - A look through subsequences, Stochastic Process Appl. 47, 153-158.