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Markov Chain Monte Carlo Methods: Computation and Inference
Abstract This chapter reviews the recent developments in Markov chain Monte Carlo simulation methods. These methods, which are concerned with the simulation of high dimensional probability distributions, have gained enormous prominence and revolutionized Bayesian statistics.
Siddhartha Chib
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Numerical Methods for Computing Stationary Distributions of Finite Irreducible Markov Chains
2000In this chapter our attention will be devoted to computational methods for computing stationary distributions of finite irreducible Markov chains. We let q ij denote the rate at which an n-state Markov chain moves from state i to state j. The n × n matrix Q whose off-diagonal elements are q ij and whose i th diagonal element is given by \( - \sum ...
W. Stewart
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Computational complexity of Markov chain Monte Carlo methods for finite Markov random fields
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Arnoldo Frigessi
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To quickly obtain information about airborne infectious disease transmission in enclosed environments is critical in reducing the infection risk to the occupants. This study developed a combined computational fluid dynamics (CFD) and Markov chain method for quickly predicting transient particle transport in enclosed environments.
Chun Chen +3 more
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Computation of atomic many-electron integrals using a Markov chain generated Monte Carlo method
A Monte Carlo method for evaluating complicated many-electron integrals is described. The process utilizes a Markov chain which properly chooses configurations of electrons in accordance with the form of Ψ chosen. The method inherently reduces the variance compared to the classical Monte Carlo method.
R. L. Gibbs, T. M. Dunn
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Applied Numerical Mathematics, 2003
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Ivo Marek
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Ivo Marek
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A computational method is proposed for determination of the copolymer composition and microstructure dependence on the conversion on the basis of finite Markov's chains. The method is valuable because of its easy numeric realization and the possibility for a more profound characterization of the multi-component copolymers.
George Georgiev
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Numerical Method for Bounds Computations of Discrete-Time Markov Chains with Different State Spaces
In this paper, we propose a numerical method for bounds computations of discrete-time Markov chains with different state spaces. This method is based on the necessary and sufficient conditions for the comparison of one-dimensional (also known as the point-wise comparison) of discrete-time Markov chains given in our previous work [3].
Mourad Ahmane, Laurent Truffet
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We develop a new numerical method for the computation of the complementary probability distribution of the proportion of time in a time interval that a continuous-time Markov chain (CTMC) is in a subset of states. The new method is an enhanced version of a method developed by the second author (method C) based on a uniformization construct with a ...
Vı́ctor Suñé, Juan A. Carrasco
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Hannes Vandecasteele, Giovanni Samaey
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