Almost sure limit theorem for the maxima of strongly dependent gaussian sequences

Electronic Communications in Probability

Volumn 14, Issue , 2009, Pages 224-231

  Lin, Fuming ^a  

^a SICHUAN UNIVERSITY OF SCIENCE AND ENGINEERING   (China)

Author keywords

Almost sure central limit theorem; Logarithmic average; Strongly dependent sequence

Indexed keywords

EID: 67651235481     PISSN: None     EISSN: 1083589X     Source Type: Journal    
DOI: 10.1214/ECP.v14-1461     Document Type: Article

References (6)

1. I. Berkes and E. Csáki. A universal result in almost sure central limit theory. Stochastic Process. Appl. 94, 105-134, 2001.
2. E. Csáki and K. Gonchigdanzan. Almost sure limit theorem for the maximum of stationary Gaussian sequences, Statist. Probab. Lett. 58, 195-203, 2002.
3. S. Chen and Z. Lin. Almost sure max-limits for nonstationary Gaussian sequence, Statist. Probab. Lett. 76, 1175-1184, 2006.
4. S. Cheng, L. Peng and Y. Qi. Almost sure convergence in extreme value theory, Math. Nachr. 190, 43-50, 1998.
5. I. Fahrner and U. Stadtmüller. On almost sure max-limit theorems, Statist. Probab. Lett. 37, 229-236, 1998.
6. M. R. Leadbetter, G. Lindgren and H. Rootzén. Extremes and Related Properties of random sequences and processes, Springer, New York, 1983.