The ellipsoid method for generating normally distributed random vectors
I. Deák (1980)
Applicationes Mathematicae
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I. Deák (1980)
Applicationes Mathematicae
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Czesław Stępniak (2015)
Discussiones Mathematicae Probability and Statistics
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Correlation coefficient is a well known measure of (linear) dependence between random variables. In his textbook published in 1980 L.T. Kubik introduced an analogue of such measure for random events A and B and studied its basic properties. We reveal that this measure reduces to the usual correlation coefficient between the indicator functions of A and B. In consequence the resuts by Kubik are obtained and strenghted directly. This is essential because the textbook is recommended by...
G. Trybuś (1974)
Applicationes Mathematicae
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W. Dziubdziela (1976)
Applicationes Mathematicae
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Duheille-Bienvenüe, Frédérique, Guillotin-Plantard, Nadine (2003)
Electronic Communications in Probability [electronic only]
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R. Kaufman (1970)
Studia Mathematica
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de Finetti, Bruno (2008)
Journal Électronique d'Histoire des Probabilités et de la Statistique [electronic only]
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Zhu, Chuanxi, Xu, Zongben (2002)
International Journal of Mathematics and Mathematical Sciences
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František Štulajter (1976)
Kybernetika
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Mustafa, Ghulam, Nosh, Nusrat Anjum, Rashid, Abdur (2005)
Lobachevskii Journal of Mathematics
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N. Zygouras (2013)
Annales de l'I.H.P. Probabilités et statistiques
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We consider a random walk in a random potential, which models a situation of a random polymer and we study the annealed and quenched costs to perform long crossings from a point to a hyperplane. These costs are measured by the so called Lyapounov norms. We identify situations where the point-to-hyperplane annealed and quenched Lyapounov norms are different. We also prove that in these cases the polymer path exhibits localization.
Nguyen, Quy Hy, Nguyen, Ngoc Cuong (2015-12-08T12:59:38Z)
Acta Universitatis Lodziensis. Folia Mathematica
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Rozovskij, L.V. (2004)
Zapiski Nauchnykh Seminarov POMI
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Aya Hmissi, Farida Hmissi, Mohamed Hmissi (2012)
ESAIM: Proceedings
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This paper deals with some characterizations of gradient-like continuous random dynamical systems (RDS). More precisely, we establish an equivalence with the existence of random continuous section or with the existence of continuous and strict Liapunov function. However and contrary to the deterministic case, parallelizable RDS appear as a particular case of gradient-like RDS. The obtained results are generalizations of well-known analogous theorems in the framework of deterministic...