Results 91 to 100 of about 353,414 (194)

Limit Theorems for Additive Conditionally Free Convolution

open access: yes, 2011
In this paper we determine the limiting distributional behavior for sums of infinitesimal conditionally free random variables. We show that the weak convergence of classical convolution and that of conditionally free convolution are equivalent for ...
Jiun-Chau Wang
core   +1 more source

Algorithms for estimating the main reliability parameters of low-voltage equipment of shop-floor network schemes

open access: yesОмский научный вестник
The article presents the classification of fuses, breakers, circuit breakers and packet switches. The laws of change of probabilistic reliability characteristics of the studied devices, as well as low-voltage cable lines are determined.
R. M. Petrova, E. I. Gracheva
doaj   +1 more source

Kanter random variable and positive free stable distributions

open access: yesElectronic Communications in Probability, 2011
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
openaire   +5 more sources

Limit theorems in free probability theory II

open access: yesOpen Mathematics, 2008
Chistyakov Gennadii, Götze Friedrich
doaj   +1 more source

Central Limit for the Product of Free Random Variables

open access: yes, 2011
The central limit for the product of free random variables are studied by evaluating all the moments of the limit distribution. The logarithm of the central limit is found to be the same as the sum of two independent free random variables: one semicircularly distributed and another uniformly distributed.
openaire   +2 more sources

A Random Matrix Approach to Dynamic Factors in macroeconomic data

open access: yes, 2012
We show how random matrix theory can be applied to develop new algorithms to extract dynamic factors from macroeconomic time series. In particular, we consider a limit where the number of random variables N and the number of consecutive time measurements
Snarska, Małgorzata, Snarska, M.
core   +2 more sources

The arithmetic of distributions in free probability theory

open access: yesOpen Mathematics, 2011
Chistyakov Gennadii, Götze Friedrich
doaj   +1 more source

Universality of free random variables: Atoms for non-commutative rational functions

open access: yes
International ...
Speicher, Roland   +3 more
core   +1 more source

A Weighted Weak Law of Large Numbers for Free Random Variables [PDF]

open access: yes
We examine various conditions under which a weighted weak law of large numbers holds, in the context of noncommutative probability theory.Weak law of large numbers, Noncommutative probability ...
George Stoica, Raluca Balan
core  

The Brown measure of a sum of two free random variables, one of which is triangular elliptic

open access: yes
The triangular elliptic operators are natural extensions of the elliptic deformation of circular operators. We obtain a Brown measure formula for the sum of a triangular elliptic operator $g_{_{\alpha, \beta, \gamma}}$ with a random variable $x_0$, which
Belinschi, Serban, Zhong, Ping, Yin, Zhi
core   +3 more sources

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