Title:
|
The central limit problem for strictly stationary sequences [Abstract of thesis] (English) |
Author:
|
Volný, Dalibor |
Language:
|
English |
Journal:
|
Commentationes Mathematicae Universitatis Carolinae |
ISSN:
|
0010-2628 (print) |
ISSN:
|
1213-7243 (online) |
Volume:
|
26 |
Issue:
|
4 |
Year:
|
1985 |
Pages:
|
840-842 |
. |
Category:
|
math |
. |
MSC:
|
60F05 |
MSC:
|
60G10 |
MSC:
|
60G42 |
idZBL:
|
Zbl 0584.60037 |
. |
Date available:
|
2008-06-05T21:23:40Z |
Last updated:
|
2012-04-28 |
Stable URL:
|
http://hdl.handle.net/10338.dmlcz/106422 |
. |
Reference:
|
[1] Billingsley P.: The Lindeberg-Lévy theorem for martingales.Proc. Amer. Math. Soc. 12 (1961), 788-792. Zbl 0129.10701, MR 0126871 |
Reference:
|
[2] Bradley R. C., Jr.: Information regularity and the central limit question.Rocky Mountain Journ. of Math. 13 (1983), 77-97. Zbl 0521.60039, MR 0692579 |
Reference:
|
[3] Eagleson G. K.: On Gordin's central limit theorem for stationary processes.J. Appl. Probab. 12 (1975), 176-179. Zbl 0306.60017, MR 0383501 |
Reference:
|
[4] Gordin M. I.: The central limit theorem for stationary processes.Soviet Math. Dokl. 10 (1969), 1174-1176. Doklady AN SSSR 188 (1969), 739-741. Zbl 0212.50005, MR 0251785 |
Reference:
|
[5] Hall P., Heyde C. C.: Martingale Limit Theory and its Application.Academic Press New York (1980). Zbl 0462.60045, MR 0624435 |
Reference:
|
[6] Heyde C. C.: On the central limit theorem for stationary processes.Z. Wahrsch. Verw. Gebiete 30 (1974), 315-320. Zbl 0297.60014, MR 0372955 |
Reference:
|
[7] Ibragimov I. A.: A central limit theorem for a class of dependent random variables.Theory Probab. Appl. 8 (1963), 83-89. Zbl 0123.36103, MR 0151997 |
Reference:
|
[8] Volný D.: A negative answer to the central limit problem for strictly stationary sequences.Proc. 3rd Prague Symp. on Asymptotic Statistics, 433-441, Elsevier Science Publ. B. V., Amsterdam (1984) MR 0785422 |
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