The central limit problem for strictly stationary sequences [Abstract of thesis]

Dalibor Volný

Commentationes Mathematicae Universitatis Carolinae (1985)

  • Volume: 026, Issue: 4, page 840-842
  • ISSN: 0010-2628

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Volný, Dalibor. "The central limit problem for strictly stationary sequences [Abstract of thesis]." Commentationes Mathematicae Universitatis Carolinae 026.4 (1985): 840-842. <http://eudml.org/doc/17433>.

@article{Volný1985,
author = {Volný, Dalibor},
journal = {Commentationes Mathematicae Universitatis Carolinae},
keywords = {central limit problem; strictly stationary sequence; weak convergence of probability measures; martingale difference sequences},
language = {eng},
number = {4},
pages = {840-842},
publisher = {Charles University in Prague, Faculty of Mathematics and Physics},
title = {The central limit problem for strictly stationary sequences [Abstract of thesis]},
url = {http://eudml.org/doc/17433},
volume = {026},
year = {1985},
}

TY - JOUR
AU - Volný, Dalibor
TI - The central limit problem for strictly stationary sequences [Abstract of thesis]
JO - Commentationes Mathematicae Universitatis Carolinae
PY - 1985
PB - Charles University in Prague, Faculty of Mathematics and Physics
VL - 026
IS - 4
SP - 840
EP - 842
LA - eng
KW - central limit problem; strictly stationary sequence; weak convergence of probability measures; martingale difference sequences
UR - http://eudml.org/doc/17433
ER -

References

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  1. Billingsley P., The Lindeberg-Lévy theorem for martingales, Proc. Amer. Math. Soc. 12 (1961), 788-792. (1961) Zbl0129.10701MR0126871
  2. Bradley R. C., Jr., Information regularity and the central limit question, Rocky Mountain Journ. of Math. 13 (1983), 77-97. (1983) Zbl0521.60039MR0692579
  3. Eagleson G. K., On Gordin's central limit theorem for stationary processes, J. Appl. Probab. 12 (1975), 176-179. (1975) Zbl0306.60017MR0383501
  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. (1969) Zbl0212.50005MR0251785
  5. Hall P., Heyde C. C., Martingale Limit Theory and its Application, Academic Press New York (1980). (1980) Zbl0462.60045MR0624435
  6. Heyde C. C., On the central limit theorem for stationary processes, Z. Wahrsch. Verw. Gebiete 30 (1974), 315-320. (1974) Zbl0297.60014MR0372955
  7. Ibragimov I. A., A central limit theorem for a class of dependent random variables, Theory Probab. Appl. 8 (1963), 83-89. (1963) Zbl0123.36103MR0151997
  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) (1984) MR0785422

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