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Abstrakty
In this paper we extend a theorem of Bradley under interlaced mixing and strong mixing conditions. More precisely, we study the asymptotic normality of the normalized partial sum of an α-mixing strictly stationary random field of random vectors, in the presence of another dependence assumption.
Słowa kluczowe
Czasopismo
Rocznik
Tom
Strony
215--222
Opis fizyczny
Bibliogr. 7 poz.
Twórcy
autor
- Department of Mathematics, University of Louisville, 328 Natural Sciences Building, Louisville, KY 40292
Bibliografia
- [1] P. Billingsley, Probability and Measure, 3rd edition, Wiley, New York 1995.
- [2] P. Billingsley, Convergence of Probability Measures, 2nd edition, Wiley, New York 1999.
- [3] R. C. Bradley, Introduction to Strong Mixing Conditions, Vol. 1, Kendrick Press, 2007.
- [4] R. C. Bradley, Introduction to Strong Mixing Conditions, Vol. 3, Kendrick Press, 2007.
- [5] A. Bulinski and N. Kryzhanovskaya, Convergence rate in CLT for vector-valued random fields with self-normalization, Probab. Math. Statist. 26 (2006), pp. 261-281.
- [6] M. Peligrad, On the asymptotic normality of sequences of weak dependent random variables, J. Theoret. Probab. 9 (1996), pp. 703-715.
- [7] S. Utev and M. Peligrad, Maximal inequalities and an invariance principle for a class of weakly dependent random variables, J. Theoret. Probab. 16 (2003), pp. 101-115.
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Bibliografia
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bwmeta1.element.baztech-7b071943-722b-4b1e-8505-4b4fa8b68c78