Marked continuous-time Markov chain modelling of burst behaviour for single ion channels.
Ball, Frank G., Milne, Robin K., Yeo, Geoffrey F. (2007)
Journal of Applied Mathematics and Decision Sciences
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Ball, Frank G., Milne, Robin K., Yeo, Geoffrey F. (2007)
Journal of Applied Mathematics and Decision Sciences
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Dietz, Zach, Sethuraman, Sunder (2007)
Electronic Journal of Probability [electronic only]
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Telecs, András (2000)
Electronic Communications in Probability [electronic only]
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Kalashnikov, Vladimir V. (1994)
Journal of Applied Mathematics and Stochastic Analysis
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Takacs, Christiane (2006)
Mathematica Pannonica
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Pascal Lezaud (2001)
ESAIM: Probability and Statistics
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In this paper, we develop bounds on the distribution function of the empirical mean for general ergodic Markov processes having a spectral gap. Our approach is based on the perturbation theory for linear operators, following the technique introduced by Gillman.
Vincent Vigon (2011)
Annales de l'I.H.P. Probabilités et statistiques
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(Homogeneous) Markov bridges are (time homogeneous) Markov chains which begin at a given point and end at a given point. The price to pay for preserving the homogeneity is to work with processes with a random life-span. Bridges are studied both for themselves and for their use in describing the transformations of Markov chains: restriction on a random interval, time reversal, time change, various conditionings comprising the confinement in some part of the state space. These bridges...