Some properties of convergence in distribution of sums and maxima of dependent random variables

Author:

Rootz�n Holger

Publisher

Springer Science and Business Media LLC

Subject

Statistics, Probability and Uncertainty,Statistics and Probability,Analysis,General Mathematics,Statistics and Probability,Analysis

Reference13 articles.

1. Abbot, J. H., Blum, J. R.: On a theorem of Rényi concerning mixing sequences of sets. Ann. Math. Statist. 32, 257?260 (1961)

2. Berman, S.: Limit theorems for the maximum term in stationary sequences. Ann. Math. Statist. 35, 502?516 (1964)

3. Billingsley, P.: The Lindeberg-Lévy theorem for martingales. Proc. Amer. Math. Soc. 12, 788?792 (1961)

4. Bühlmann, H.: Austauschbare stochastische Variablen und ihre Grenzwertsaetze. Univ. Calif. publ. in Statist. 3 (1960)

5. Cramér, H.: Mathematical methods of statistics. Uppsala: Almqvist & Wiksell 1945

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4. Some Simple Conditions for Limit Theorems to Be Mixing;Theory of Probability & Its Applications;1977-06

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