On the number of local extrema in a sequence of independent random variables
B. Kopociński (1972)
Applicationes Mathematicae
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B. Kopociński (1972)
Applicationes Mathematicae
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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...
I. Deák (1980)
Applicationes Mathematicae
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R. Kaufman (1970)
Studia Mathematica
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G. Trybuś (1974)
Applicationes Mathematicae
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Rozovskij, L.V. (2004)
Zapiski Nauchnykh Seminarov POMI
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W. Dziubdziela (1976)
Applicationes Mathematicae
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Kifer, Yuri (1998)
Documenta Mathematica
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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...
Mustafa, Ghulam, Nosh, Nusrat Anjum, Rashid, Abdur (2005)
Lobachevskii Journal of Mathematics
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J. B. Ukšanović (1981)
Matematički Vesnik
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Nguyen, Quy Hy, Nguyen, Ngoc Cuong (2015-12-08T12:59:38Z)
Acta Universitatis Lodziensis. Folia Mathematica
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Sandra Dias, Maria da Graça Temido (2019)
Kybernetika
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We study the limiting distribution of the maximum value of a stationary bivariate real random field satisfying suitable weak mixing conditions. In the first part, when the double dimensions of the random samples have a geometric growing pattern, a max-semistable distribution is obtained. In the second part, considering the random field sampled at double random times, a mixture distribution is established for the limiting distribution of the maximum.
Ž. Mijajlović, P. Peruničić (1986)
Matematički Vesnik
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François Germinet (2007-2008)
Séminaire Équations aux dérivées partielles
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In this review, we first recall a recent Bernoulli decomposition of any given non trivial real random variable. While our main motivation is a proof of universal occurence of Anderson localization in continuum random Schrödinger operators, we review other applications like Sperner theory of antichains, anticoncentration bounds of some functions of random variables, as well as singularity of random matrices.