Time Homogeneous Markov Chains
The Kemeny Constant For Finite Homogeneous Ergodic Markov Chains
... 1 Introduction Consider the World Wide Web. One can ask the following question: If we have a random surfer, who, perhaps having become lost, is located at a ran- dom web page, what is the expected number of links that ...
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Discrete Time Markov Chains with R
... The package targets data scientists using DTMC, Academia members, supporting faculty instruc- tors, as well as students of undergraduate courses on Stochastic Processes. The paper will be organized as follows: Section ...
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Bayesian inference for continuous time Markov chains
... Andrey Markov. This stochastic process is called a Markov process. Markov processes can be classified based on their timing and ...the Markov process are a discrete time Markov ...
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Bounding inferences for large-scale continuous-time Markov chains : a new approach based on lumping and imprecise Markov chains
... imprecise Markov chains are not only a robust uncertainty model—as they were originally intended to be—but also a useful computational tool for determining bounds on inferences for large-scale ...
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Finite Markov chains
... a time-homogeneous Markov chain In this chapter, we work on the limit of p (n) i,j as n approaches infinity, a concept that we have already introduced in the previous ...recurrence time and we ...
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Formalization of Continuous Time Markov Chains with Applications in Queueing Theory
... ducting Markov chain based analysis in ...Discrete-Time Markov Chain (DTMC) and the verification of the most important properties, in which the concepts of reversibility and stationary properties ...
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Merge Times and Hitting Times of Time-inhomogeneous Markov Chains
... Figure 4.1: Several kinds of perturbations 4.2 Perturbed Site Alternating Between Two States If walker A starts at state 1, it can reach state 3 on an even step or reach state n on an odd step at some point. Therefore, ...
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Applying Mean-Field Approximation to Continuous Time Markov Chains
... arbitrary time-homogeneous CTMC A is checked by computing the proba- bility of taking a path satisfying the until formula and by comparing it to the threshold p ...current time and reaching a goal ...
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Learning Discrete-Time Markov Chains Under Concept Drift
... The aim of the proposed change-detection mechanisms and ADAM is to detect changes and learn DTMCs under concept drift defined as in Eq. (1). We emphasize that the solutions described in this paper could be easily ...
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Hidden hybrid Markov/semi-Markov chains.
... size homogeneous zones as shown in Section ...hybrid Markov/semi-Markov ...of Markov- ian and semi-Markovian states with common observation ...sojourn time (to model the minimum sojourn ...
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WIENER-HOPF FACTORIZATION FOR TIME-INHOMOGENEOUS MARKOV CHAINS AND ITS APPLICATION
... underlying time-inhomogeneous Markov chain, apply a specially devised randomization technique in order to con- struct a time-homogeneous Markov chain with finite state ...constructed ...
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Convergence of some time inhomogeneous Markov chains via spectral techniques
... of time inhomogeneous chains in the spirit of the work of Aldous, Diaconis, and their collaborators ...for time homogeneous ...a time inhomogeneous shuffling process defined as ...
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Discrete time Markov chains with interval probabilities
... of Markov decision processes, with the work of Satia and Lave [15] followed by [9,12,14,22] ...imprecise Markov chains, although most of the results are not strictly limited to the basic model of ...
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Estimating lead time using Markov Chains
... mean relative error increased with 1% for training data and 2% for testing data. This shows that the model is sensitive to the data set. Another test was comparing results of the model when using the estimated transition ...
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Comparative branching-time semantics for Markov chains
... particular, time-abstract (or discrete-time) fully probabilistic systems (DTMCs) and continuous-time Markov chains (CTMCs) are ...real-valued time bound, provided that all paths ...
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PARAMETER SYNTHESIS FOR CONTINUOUS-TIME MARKOV CHAINS
... Abstract Continuous-Time Markov Chains (CTMCs) are an important model for any real world system involving stochastic behaviour. They are used for various kinds of safety-related systems. Each state ...
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Non homogeneous Markov chains with a finite state space and a Doeblin type theorem
... "Then the following results hold: the state space S can be partitioned as S ToU(UE,)U(UIz), where To contains all the non-self communicating elements, Eo’s the essential self-communi[r] ...
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A uniform estimate for the rate of convergence in the multidimensional central limit theorem for homogeneous Markov chains
... [7] FORMANOV, SH K, A uniform estimate in the multidimensional limit theorem for homogeneous Markov chains on the class of all convex measurable sets II, Izd-vo AN UzSSR, Phys.-Math. Ser[r] ...
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On Approximating the Stationary Distribution of Time-reversible Markov Chains
... and chains, developing local algorithms, and has applications in machine learning; see [3, 12] for a thorough ...design chains where they have mass exponentially small in ...
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A note on variance bounding for continuous time Markov Chains
... discrete time Markov chains ...continuous time Markov Chains and it is shown that a reversible continuous time Markov Chain (CTMC) satisfies a usual CLT if and only ...
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