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Physica A: Statistical Mechanics and its Applications, ISSN 0378-4371, 02/2017, Volume 468, pp. 70 - 83
In recent years, China’s stock market has experienced dramatic fluctuations; in particular, in the second half of 2014 and 2015, the market rose sharply and... 
Ergodic theorem | Linkage | Multi-dimensional stationary process | Testing program | Convergence | AUTOREGRESSIVE TIME-SERIES | PHYSICS, MULTIDISCIPLINARY | DICKEY-FULLER TEST | UNIT-ROOT | STATISTICAL ARBITRAGE | Stocks | Stock markets
Journal Article
IEEE Transactions on Automatic Control, ISSN 0018-9286, 01/2010, Volume 55, Issue 1, pp. 225 - 230
Journal Article
2017, SpringerBriefs in Probability and Mathematical Statistics, ISBN 9783319623306
This book provides a self-contained presentation on the structure of a large class of stable processes, known as self-similar mixed moving averages. The... 
Ergodic theory | Dynamics | Mathematics | Probabilities
Web Resource
The Annals of Probability, ISSN 0091-1798, 9/2010, Volume 38, Issue 5, pp. 2009 - 2022
Journal Article
Annales de l'institut Henri Poincare (B) Probability and Statistics, ISSN 0246-0203, 05/2018, Volume 54, Issue 2, pp. 879 - 906
Journal Article
The Annals of Probability, ISSN 0091-1798, 5/2011, Volume 39, Issue 3, pp. 1137 - 1160
Journal Article
Statistics, ISSN 0233-1888, 01/2014, Volume 48, Issue 1, pp. 121 - 128
Given a discrete-valued sample X 1 , ..., X n , we wish to decide whether it was generated by a distribution belonging to a family H 0 , or it was generated by... 
stationary processes | composite hypotheses | ergodic processes | hypothesis testing | STATISTICS & PROBABILITY | Mathematics | Information Theory | Statistics | Statistics Theory | Computer Science
Journal Article
Annales de l'institut Henri Poincare (B) Probability and Statistics, ISSN 0246-0203, 02/2014, Volume 50, Issue 1, pp. 256 - 284
We prove stable limit theorems and one-sided laws of the iterated logarithm for a class of positive, mixing, stationary, stochastic processes which contains... 
One-sided law of iterated logarithm | Darling-Kac theorem | Stable limit | Transfer operator | Infinite invariant measure | Infinite ergodic theory | Mixing coefficient | Pointwise dual ergodic | MEASURE PRESERVING TRANSFORMATIONS | STATISTICS & PROBABILITY | RANDOM-VARIABLES | INVARIANT-MEASURES | LAWS | MAPS | PARTIAL-SUMS | 37A40 | 60Fxx | 60G10 | Darling–Kac theorem
Journal Article
Proceedings of the American Mathematical Society, ISSN 0002-9939, 01/2005, Volume 133, Issue 1, pp. 285 - 293
Journal Article
The Annals of Probability, ISSN 0091-1798, 1/2008, Volume 36, Issue 1, pp. 127 - 142
Journal Article
Machine Learning, ISSN 0885-6125, 06/2019, pp. 1 - 37
We introduce a new unsupervised learning problem: clustering wide-sense stationary ergodic stochastic processes. A covariance-based dissimilarity measure... 
Algorithms | Covariance | Clustering | Stochastic processes | Ergodic processes | Self-similarity
Journal Article
08/2017, 1st ed. 2017, SpringerBriefs in Probability and Mathematical Statistics, ISBN 9783319623306, 143
This book provides a self-contained presentation on the structure of a large class of stable processes, known as self-similar mixed moving averages. The... 
Gaussian processes | Dynamical Systems and Ergodic Theory | Probability Theory and Stochastic Processes | Mathematics
eBook
Stochastics and Dynamics, ISSN 0219-4937, 03/2011, Volume 11, Issue 1, pp. 135 - 155
We obtain pointwise ergodic theorems with rate under conditions expressed in terms of the convergence of series involving parallel to Sigma(n)(k=1) f o... 
Ergodic theorems | quenched CLT | LIL | normal Markov chains | spectral theorem | MARTINGALE APPROXIMATIONS | MARKOV-CHAINS | STATISTICS & PROBABILITY | ADDITIVE-FUNCTIONALS
Journal Article
Journal of Theoretical Probability, ISSN 0894-9840, 3/2012, Volume 25, Issue 1, pp. 171 - 188
In this paper we study the almost sure central limit theorem started at a point for additive functionals of a stationary and ergodic Markov chain via a... 
Reversible Markov chains | Probability Theory and Stochastic Processes | Mathematics | 60J05 | Statistics, general | Quenched central limit theorem | 60F05 | 60F15 | ERGODIC-THEOREMS | STATISTICS & PROBABILITY | Markov processes
Journal Article
Journal of Functional Analysis, ISSN 0022-1236, 2009, Volume 256, Issue 6, pp. 1962 - 1997
We introduce a framework for the study of nonlinear homogenization problems in the setting of stationary continuous processes in compact spaces. The latter are... 
Porous medium equation | Stationary ergodic processes | Algebras with mean value | Stochastic homogenization | Ergodic algebras | Two-scale Young measures | MATHEMATICS | 2-SCALE CONVERGENCE | EQUATIONS | CONSERVATION-LAWS | OPERATORS | Atmospheric radon
Journal Article
The Annals of Probability, ISSN 0091-1798, 7/2004, Volume 32, Issue 3, pp. 2222 - 2260
Journal Article
The Annals of Probability, ISSN 0091-1798, 5/2012, Volume 40, Issue 3, pp. 1357 - 1374
We give a second look at stationary stable processes by interpreting the self-similar property at the level of the Lévy measure as characteristic of a Maharam... 
Ergodic theory | Infinity | Mathematical transformations | Stationary processes | Coordinate systems | Mathematical vectors | Automorphisms | Dynamical systems | Probabilities | Stable stationary processes | Maharam system | Ergodic properties | STATISTICS & PROBABILITY | TRANSFORMATIONS | ergodic properties | Probability | Dynamical Systems | Mathematics | 37A50 | 37A40 | 60G10 | 60G52
Journal Article
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