Determinantal processes and independence.
Ben Hough, J., Krishnapur, Manjunath, Peres, Yuval, Virág, Bálint (2006)
Probability Surveys [electronic only]
Volný, Dalibor (1985)
Proceedings of the 13th Winter School on Abstract Analysis
Patrick Cattiaux, Arnaud Guillin (2008)
ESAIM: Probability and Statistics
In this paper we derive non asymptotic deviation bounds forwhere is a stationary and ergodic Markov process and is some integrable function. These bounds are obtained under various moments assumptions for , and various regularity assumptions for . Regularity means here that may satisfy various functional inequalities (F-Sobolev, generalized Poincaré etc.).
Patrick Cattiaux, Arnaud Guillin (2007)
ESAIM: Probability and Statistics
In this paper we derive non asymptotic deviation bounds for where X is a μ stationary and ergodic Markov process and V is some μ integrable function. These bounds are obtained under various moments assumptions for V, and various regularity assumptions for μ. Regularity means here that μ may satisfy various functional inequalities (F-Sobolev, generalized Poincaré etc.).
Gao, Fuqing, Jiang, Hui (2009)
Electronic Communications in Probability [electronic only]
S. Valère Bitseki Penda, Hacène Djellout (2014)
Annales de l'I.H.P. Probabilités et statistiques
The purpose of this paper is to investigate the deviation inequalities and the moderate deviation principle of the least squares estimators of the unknown parameters of general th-order asymmetric bifurcating autoregressive processes, under suitable assumptions on the driven noise of the process. Our investigation relies on the moderate deviation principle for martingales.
Funaki, Tadahisa (2007)
Electronic Communications in Probability [electronic only]
Götz Dietrich Kersting (1978)
Mathematische Zeitschrift
Hermann Rost (1970)
Manuscripta mathematica
Ledoux, M. (2004)
Electronic Journal of Probability [electronic only]
Swishchuk, Anatoliy, Islam, M.Shafiqul (2010)
International Journal of Stochastic Analysis
Fannjiang, Albert, Komorowski, Tomasz (2002)
Electronic Journal of Probability [electronic only]
Yanick Heurteaux (2007)
Publicacions Matemàtiques
Various tools can be used to calculate or estimate the dimension of measures. Using a probabilistic interpretation, we propose very simple proofs for the main inequalities related to this notion. We also discuss the case of quasi-Bernoulli measures and point out the deep link existing between the calculation of the dimension of auxiliary measures and the multifractal analysis.
Guendouzi, Toufik (2009)
Acta Universitatis Apulensis. Mathematics - Informatics
Roma Kačinskaitė, Antanas Laurinčikas (2005)
Acta Mathematica Universitatis Ostraviensis
In the paper discrete limit theorems in the sense of weak convergence of probability measures on the complex plane as well as in the space of analytic functions for the Laplace transform of the Riemann zeta-function are proved.
Darío Maravall Casesnoves (1984)
Revista de la Real Academia de Ciencias Exactas Físicas y Naturales
R. Banuelos, C. N. Moore (1991)
Annales de l'institut Fourier
We prove good- inequalities for the area integral, the nontangential maximal function, and the maximal density of the area integral. This answers a question raised by R. F. Gundy. We also prove a Kesten type law of the iterated logarithm for harmonic functions. Our Theorems 1 and 2 are for Lipschitz domains. However, all our results are new even in the case of .
Jean Th. Hainis (1970)
Δελτίο της Ελληνικής Μαθηματικής Εταιρίας
L. Vostrikova (1989/1990)
Publications mathématiques et informatique de Rennes
Xuejun, Wang, Shuhe, Hu, Ting, Zhao, Wenzhi, Yang (2010)
Journal of Inequalities and Applications [electronic only]