Definitions and Basic Properties of Markov Chains
Markov Chains. Chapter Definitions and Examples
... 4.1. DEFINITIONS AND EXAMPLES 93 In the Gambler’s Ruin chain and the Wright-Fisher model the states 0 and N are absorbing states. Once we enter these states we can never leave. The long run behavior of these ...
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Generalized continued fractions: definitions, convergence and applications to Markov Chains
... In section 9.1, we will define periodicity and we will give a sufficient criterion for L := L 1,1,0 to be a root of the function defined by the corresponding power series. In C, the characterization of this root as the ...
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Computation for Markov Chains
... 4.1 Definitions and Properties 4.1.1 Nearly Uncoupled Markov Chains A Markov chain is called nearly uncoupled (NUMC) if it consists of subsets of states such that states in the same ...
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1. Terminology, Basic Definitions and Preliminary Properties of Cluster Multifunction
... the basic properties of Br-cluster multi- functions were studied in [13] and [14], where the structure of the set of all usc/lsc points of lover/upper Baire continuous multifunctions and the existence of ...
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Markov Chains And Existtime Stabilization
... i.e., every state is recurrent. ⇤ In the previous section we concluded that, for irreducible Markov chains, recurrence is a class property, i.e., a property that either holds for all states or none. We have ...
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Markov Chains And Cheetah Chase Algorithm
... a Markov chain and some of its basic ...apply Markov chains to the analysis of Cheetah Chase ...of Markov chains to provide upper-bounds on running time ...
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ON MIXING PROPERTIES OF REVERSIBLE MARKOV CHAINS
... MIXING PROPERTIES OF REVERSIBLE MARKOV CHAINS Richard ...recurrent Markov chain, the ρ-mixing condition is equivalent to geometric er- godicity and to a ”spectral gap” ...of Markov ...
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Some stochastic properties of “semi-magic” and “magic” Markov chains
... 10. Observations This article raises some interesting relationships amongst the elements of matrices used to find the stochastic properties of “semi-magic” and “magic” Markov chains. Some ...
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Extremal Properties Of Markov Chains And The Conditional Extreme Value Model
... the properties of the normalization functions, and technicalities surrounding the choice of version of the conditional distribution and the limit distribution G appearing in ...
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Finite Markov chains
... 2 Markov chains in finite time We start introducing the definition of a Markov chain and we study the first properties of ...of Markov chains, which have an important property as ...
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Backward stochastic differential equations with Markov chains and related asymptotic properties
... state Markov chain is ...perturbed Markov chain is involved, we present the asymptotic property of the corre- sponding BSDE by virtue of the related property of the singularly perturbed Markov ...
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ALGORITHMIC TRADING WITH MARKOV CHAINS
... Another approach to study the dynamical aspects of limit order books is by means of game theory. Each agent is thought to take into account the effect of the order placement strategy of other agents when deciding between ...
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Convergence of alternating Markov chains
... We consider here the convergence properties of this alternating chain, given that each of the component chains converges to the same distribution. Specifically, we investigate whether convergence of AB is ...
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Extreme events of Markov chains
... Introduction Markov chains are natural models for a wide range of applications, such as financial and environmental time ...order Markov models are used to determine the distributional ...
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Markov chains and the pricing of derivatives
... extended Markov generator, which describes the evolution of the joint probability density function between the underlying and realized variance, is too large a matrix to be exponentiated ...the properties ...
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Extreme events of Markov chains
... Markov chains are natural models for a wide range of applications, such as financial and environmental time ...order Markov models are used to determine the distributional properties of cold ...
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A tutorial on interactive Markov chains
... interactive transition t −→ t a 0 such that the target states are again related, i.e. s 0 R t 0 . The second condition expresses that related states s R t need to agree on the cumulative rates of moving from s, ...
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Large Deviations Properties of Maximum Entropy Markov Chains from Spike Trains
... We review large deviations techniques useful in this context to describe properties of accuracy and convergence in terms of sampling size. We use these results to study the statistical fluctuation of correlations, ...
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One-Dimensional Markov Random Fields, Markov Chains and Topological Markov Fields
... two properties of the support X of a finite-valued sta- tionary MRF: 1) X is non-wandering (this is a property of the support of any finite-valued stationary process) and 2) X is a topological Markov field ...
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Perfect sampling for nonhomogeneous Markov chains and hidden Markov models
... nonhomogeneous chains to hidden Markov models (HMMs), for which we obtain a perfect sampling characterization of conditional ergodicity phenomena, that is, ergodic properties of the signal process in ...
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