Random sum Limit Theorems for Nonidentically Distributed Random Variables
Slobodanka Janković (1990)
Publications de l'Institut Mathématique
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Slobodanka Janković (1990)
Publications de l'Institut Mathématique
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Rafał Latała (2011)
Banach Center Publications
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We discuss a conjecture about comparability of weak and strong moments of log-concave random vectors and show the conjectured inequality for unconditional vectors in normed spaces with a bounded cotype constant.
D. Szynal (1976)
Applicationes Mathematicae
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Zdzisław Rychlik (1976)
Colloquium Mathematicae
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Z. Rychlik, D. Szynal (1973)
Colloquium Mathematicae
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Zhang, Hu-Ming, Taylor, Robert L. (1995)
International Journal of Mathematics and Mathematical Sciences
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W. Dziubdziela (1976)
Applicationes Mathematicae
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R. Kaufman (1970)
Studia Mathematica
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Rio Emmanuel (1997)
ESAIM: Probability and Statistics
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Krystyna Kędziora (1980)
Applicationes Mathematicae
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G. Trybuś (1974)
Applicationes Mathematicae
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E. Omey (1990)
Publications de l'Institut Mathématique
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I. Deák (1980)
Applicationes Mathematicae
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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.
Nguyen, Quy Hy, Nguyen, Ngoc Cuong (2015-12-08T12:59:38Z)
Acta Universitatis Lodziensis. Folia 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...
Taylor, R.L., Patterson, R.F., Bozorgnia, A. (2001)
Journal of Applied Mathematics and Stochastic Analysis
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