G. K. Eagleson, “Some simple conditions for limit theorems to be mixing”, Teor. Veroyatnost. i Primenen., 21:3 (1976), 653–660; Theory Probab. Appl., 21:3 (1977), 637

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Teoriya Veroyatnostei i ee Primeneniya, 1976, Volume 21, Issue 3, Pages 653–660 (Mi tvp3412)

This article is cited in 12 scientific papers (total in 12 papers)

Short Communications

Some simple conditions for limit theorems to be mixing

G. K. Eagleson^ab

^a Department of Probability Theory, Steklov Mathematical Institute, USSR
^b Statistical Laboratory, University of Cambridge, England

Full-text PDF (450 kB) Citations (12)

Received: 02.02.1976

English version:
Theory of Probability and its Applications, 1977, Volume 21, Issue 3, Pages 637–643
DOI: https://doi.org/10.1137/1121078

Bibliographic databases:

Document Type: Article

Language: English

Citation: G. K. Eagleson, “Some simple conditions for limit theorems to be mixing”, Teor. Veroyatnost. i Primenen., 21:3 (1976), 653–660; Theory Probab. Appl., 21:3 (1977), 637–643

Citation in format AMSBIB

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\by G.~K.~Eagleson

\paper Some simple conditions for limit theorems to be mixing

\jour Teor. Veroyatnost. i Primenen.

\yr 1976

\vol 21

\issue 3

\pages 653--660

\mathnet{http://mi.mathnet.ru/tvp3412}

\mathscinet{http://mathscinet.ams.org/mathscinet-getitem?mr=428388}

\zmath{https://zbmath.org/?q=an:0365.60025}

\transl

\jour Theory Probab. Appl.

\yr 1977

\vol 21

\issue 3

\pages 637--643

\crossref{https://doi.org/10.1137/1121078}

Linking options:

https://www.mathnet.ru/eng/tvp3412

https://www.mathnet.ru/eng/tvp/v21/i3/p653

This publication is cited in the following 12 articles:

Alexey Korepanov, Zemer Kosloff, Ian Melbourne, “Deterministic homogenization under optimal moment assumptions for fast-slow systems. Part 1”, Ann. Inst. H. Poincaré Probab. Statist., 58:3 (2022)
Gouezel S., “Growth of Normalizing Sequences in Limit Theorems For Conservative Maps”, Electron. Commun. Probab., 23 (2018), 99
Jon Aaronson, Benjamin Weiss, “Distributional limits of positive, ergodic stationary processes and infinite ergodic transformations”, Ann. Inst. H. Poincaré Probab. Statist., 54:2 (2018)
Ian Melbourne, Roland Zweimüller, “Weak convergence to stable Lévy processes for nonuniformly hyperbolic dynamical systems”, Ann. Inst. H. Poincaré Probab. Statist., 51:2 (2015)
Dmitry Dolgopyat, Carlangelo Liverani, “Non-perturbative approach to random walk in markovian environment”, Electron. Commun. Probab., 14:none (2009)
Omri Sarig, “Continuous Phase Transitions for Dynamical Systems”, Commun. Math. Phys., 267:3 (2006), 631
Jiang X.X., Hahn M.G., “Central limit theorems for exchangeable random variables when limits are scale mixtures of normals”, Journal of Theoretical Probability, 16:3 (2003), 543–571
Jérôme Dedecker, Florence Merlevède, “Necessary and sufficient conditions for the conditional central limit theorem”, Ann. Probab., 30:3 (2002)
A. Touati, “Functional convergence in law of martingale sequences to a mixture of Brownian motions”, Theory Probab. Appl., 36:4 (1991), 752–771
Paul D Feigin, “Stable convergence of semimartingales”, Stochastic Processes and their Applications, 19:1 (1985), 125
R. Bitmead, “Convergence in distribution of LMS-type adaptive parameter estimates”, IEEE Trans. Automat. Contr., 28:1 (1983), 54
Søren Asmussen, “Conditioned limit theorems relating a random walk to its associate, with applications to risk reserve processes and the GI/G/1 queue”, Advances in Applied Probability, 14:1 (1982), 143

Citing articles in Google Scholar: Russian citations, English citations
Related articles in Google Scholar: Russian articles, English articles

Theory of Probability and its Applications

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