We consider a Markov chain with a general state space, but whose behavior is governed by finite matrices. After a brief exposition of the basic properties of this chain, its convenience as a model is illustrated by three limit theorems. The ergodic theorem, the central limit theorem, and an extreme-value theorem are expressed in terms of dominant eigenvalues of finite matrices and proved by simple matrix theory
Ankara : Department of Mathematics and Institute of Engineering and Sciences of Bilkent University, ...
In this paper we give, in a more general context than previous studies, sufficient conditions for we...
. Inspired by the recent work of Daubechies and Lagarias on a set of matrices with convergent infini...
We consider a Markov chain with a general state space, but whose behavior is governed by finite matr...
AbstractWe consider a Markov chain with a general state space, but whose behavior is governed by fin...
Abstract. In this paper, I will buildup the basic framework of Markov Chains over finite state space...
By means of the concept of group inverse of a matrix we study limiting properties of a collection of...
AbstractBy means of the concept of group inverse of a matrix we study limiting properties of a colle...
AbstractIt is shown that, for a finite ergodic Markov chain, basic descriptive quantities, such as t...
Abstract. We consider an irreducible and aperiodic Markov chain {kn}n=0 over the finite state space ...
AbstractWe study the long-run behavior of the finite Markov chains by investigating the limiting spa...
AbstractFor finite Markov chains the eigenvalues of P can be used to characterize the chain and also...
To study finite Markov chains, we begin with the theory of order relations to classify states and ch...
From the datum of an integer partition and a classical Lie algebra, one can define a Markov chain on...
The discrete and continuous parameter forms of the mean ergodic theorem conclude that as N --> [infi...
Ankara : Department of Mathematics and Institute of Engineering and Sciences of Bilkent University, ...
In this paper we give, in a more general context than previous studies, sufficient conditions for we...
. Inspired by the recent work of Daubechies and Lagarias on a set of matrices with convergent infini...
We consider a Markov chain with a general state space, but whose behavior is governed by finite matr...
AbstractWe consider a Markov chain with a general state space, but whose behavior is governed by fin...
Abstract. In this paper, I will buildup the basic framework of Markov Chains over finite state space...
By means of the concept of group inverse of a matrix we study limiting properties of a collection of...
AbstractBy means of the concept of group inverse of a matrix we study limiting properties of a colle...
AbstractIt is shown that, for a finite ergodic Markov chain, basic descriptive quantities, such as t...
Abstract. We consider an irreducible and aperiodic Markov chain {kn}n=0 over the finite state space ...
AbstractWe study the long-run behavior of the finite Markov chains by investigating the limiting spa...
AbstractFor finite Markov chains the eigenvalues of P can be used to characterize the chain and also...
To study finite Markov chains, we begin with the theory of order relations to classify states and ch...
From the datum of an integer partition and a classical Lie algebra, one can define a Markov chain on...
The discrete and continuous parameter forms of the mean ergodic theorem conclude that as N --> [infi...
Ankara : Department of Mathematics and Institute of Engineering and Sciences of Bilkent University, ...
In this paper we give, in a more general context than previous studies, sufficient conditions for we...
. Inspired by the recent work of Daubechies and Lagarias on a set of matrices with convergent infini...