On the limit behaviour of sums of a random number of independent random variables
Z. Rychlik, D. Szynal (1973)
Colloquium Mathematicae
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Displaying similar documents to “Hypercontractivity of simple random variables”
On the limit behaviour of sums of a random number of independent random variables
A note on correlation coefficient between random events
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...
Random dynamics and its applications.
Kifer, Yuri (1998)
Documenta Mathematica
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A central limit theorem for sums of a random number of independent random variables
Zdzisław Rychlik (1976)
Colloquium Mathematicae
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A Characteristic Property for Maxima of Random Variables with Trivial Analogue When Sums are Concerned
Slobodanka Janković (1987)
Publications de l'Institut Mathématique
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A note on optimal probability lower bounds for centered random variables
Mark Veraar (2008)
Colloquium Mathematicae
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We obtain lower bounds for ℙ(ξ ≥ 0) and ℙ(ξ > 0) under assumptions on the moments of a centered random variable ξ. The estimates obtained are shown to be optimal and improve results from the literature. They are then applied to obtain probability lower bounds for second order Rademacher chaos.
Some equivalent forms of the arithematic-geometric mean inequality in probability: A survey.
Yeh, Cheh-Chih, Yeh, Hung-Wen, Chan, Wenyaw (2008)
Journal of Inequalities and Applications [electronic only]
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Optimal stopping of a random length sequence of maxima over a random barrier
Z. Porosiński (1988)
Applicationes Mathematicae
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Strong approximation for set-indexed partial sum processes via KMT constructions III
Rio Emmanuel (1997)
ESAIM: Probability and Statistics
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A note on the k-th distance random variables
W. Dziubdziela (1976)
Applicationes Mathematicae
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Random sum Limit Theorems for Nonidentically Distributed Random Variables
Slobodanka Janković (1990)
Publications de l'Institut Mathématique
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Strong laws of large numbers for arrays of rowwise -mixing random variables.
Zhu, Meng-Hu (2007)
Discrete Dynamics in Nature and Society
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On the zeroes of some random functions
R. Kaufman (1970)
Studia Mathematica
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On d-finite tuples in random variable structures
Shichang Song (2013)
Fundamenta Mathematicae
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We prove that the d-finite tuples in models of ARV are precisely the discrete random variables. Then, we apply d-finite tuples to the work by Keisler, Hoover, Fajardo, and Sun concerning saturated probability spaces. In particular, we strengthen a result in Keisler and Sun's recent paper.