Displaying 21 – 40 of 69

Showing per page

Finitarily Bernoulli factors are dense

Stephen Shea (2013)

Fundamenta Mathematicae

It is not known if every finitary factor of a Bernoulli scheme is finitarily isomorphic to a Bernoulli scheme (is finitarily Bernoulli). In this paper, for any Bernoulli scheme X, we define a metric on the finitary factor maps from X. We show that for any finitary map f: X → Y, there exists a sequence of finitary maps fₙ: X → Y(n) that converges to f, where each Y(n) is finitarily Bernoulli. Thus, the maps to finitarily Bernoulli factors are dense. Let (X(n)) be a sequence of Bernoulli schemes such...

Finite row-column exchangeable arrays

Bruno Bassan, Marco Scarsini (1998)

Commentationes Mathematicae Universitatis Carolinae

We generalize well known results about the extendibility of finite exchangeable sequences and provide necessary conditions for finite and infinite extendibility of a finite row-column exchangeable array. These conditions depend in a simple way on the correlation matrix of the array.

Finite time asymptotics of fluid and ruin models: multiplexed fractional Brownian motions case

Krzysztof Dębicki, Grzegorz Sikora (2011)

Applicationes Mathematicae

Motivated by applications in queueing fluid models and ruin theory, we analyze the asymptotics of ( s u p t [ 0 , T ] ( i = 1 n λ i B H i ( t ) - c t ) > u ) , where B H i ( t ) : t 0 , i = 1,...,n, are independent fractional Brownian motions with Hurst parameters H i ( 0 , 1 ] and λ₁,...,λₙ > 0. The asymptotics takes one of three different qualitative forms, depending on the value of m i n i = 1 , . . . , n H i .

Fluid limits for the queue length of jobs in multiserver open queueing networks

Saulius Minkevičius (2014)

RAIRO - Operations Research - Recherche Opérationnelle

The object of this research in the queueing theory is a theorem about the Strong-Law-of-Large-Numbers (SLLN) under the conditions of heavy traffic in a multiserver open queueing network. SLLN is known as a fluid limit or fluid approximation. In this work, we prove that the long-term average rate of growth of the queue length process of a multiserver open queueing network under heavy traffic strongly converges to a particular vector of rates. SLLN is proved for the values of an important probabilistic...

Currently displaying 21 – 40 of 69