The central limit problem for strictly stationary sequences [Abstract of thesis]
Volný, Dalibor
Commentationes Mathematicae Universitatis Carolinae, Tome 026 (1985), p. 840-842 / Harvested from Czech Digital Mathematics Library
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Publié le : 1985-01-01
Classification:  60F05,  60G10,  60G42 
@article{106422,
     author = {Dalibor Voln\'y},
     title = {The central limit problem for strictly stationary sequences [Abstract of thesis]},
     journal = {Commentationes Mathematicae Universitatis Carolinae},
     volume = {026},
     year = {1985},
     pages = {840-842},
     zbl = {0584.60037},
     language = {en},
     url = {http://dml.mathdoc.fr/item/106422}
}

Volný, Dalibor. The central limit problem for strictly stationary sequences [Abstract of thesis]. Commentationes Mathematicae Universitatis Carolinae, Tome 026 (1985) pp. 840-842. http://gdmltest.u-ga.fr/item/106422/

Billingsley P. The Lindeberg-Lévy theorem for martingales, Proc. Amer. Math. Soc. 12 (1961), 788-792. (1961) | MR 0126871 | Zbl 0129.10701

Bradley R. C., Jr. Information regularity and the central limit question, Rocky Mountain Journ. of Math. 13 (1983), 77-97. (1983) | MR 0692579 | Zbl 0521.60039

Eagleson G. K. On Gordin's central limit theorem for stationary processes, J. Appl. Probab. 12 (1975), 176-179. (1975) | MR 0383501 | Zbl 0306.60017

Gordin M. I. The central limit theorem for stationary processes, Soviet Math. Dokl. 10 (1969), 1174-1176. Doklady AN SSSR 188 (1969), 739-741. (1969) | MR 0251785 | Zbl 0212.50005

Hall P.; Heyde C. C. Martingale Limit Theory and its Application, Academic Press New York (1980). (1980) | MR 0624435 | Zbl 0462.60045

Heyde C. C. On the central limit theorem for stationary processes, Z. Wahrsch. Verw. Gebiete 30 (1974), 315-320. (1974) | MR 0372955 | Zbl 0297.60014

Ibragimov I. A. A central limit theorem for a class of dependent random variables, Theory Probab. Appl. 8 (1963), 83-89. (1963) | MR 0151997 | Zbl 0123.36103

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) (1984) | MR 0785422