Results 1 to 10 of about 577 (49)

The Law of the Iterated Logarithm for Random Dynamical System with Jumps and State-Dependent Jump Intensity

open access: yesAnnales Mathematicae Silesianae, 2021
In this paper our considerations are focused on some Markov chain associated with certain piecewise-deterministic Markov process with a statedependent jump intensity for which the exponential ergodicity was obtained in [4].
Kubieniec Joanna
doaj   +1 more source

Mixing Times of Markov Chains on Degree Constrained Orientations of Planar Graphs [PDF]

open access: yesDiscrete Mathematics & Theoretical Computer Science, 2017
We study Markov chains for $\alpha$-orientations of plane graphs, these are orientations where the outdegree of each vertex is prescribed by the value of a given function $\alpha$.
Stefan Felsner, Daniel Heldt
doaj   +1 more source

Equicontinuous Families of Markov Operators in View of Asymptotic Stability [PDF]

open access: yes, 2017
Relation between equicontinuity, the so called e property and stability of Markov operators is studied. In particular, it is shown that any asymptotically stable Markov operator with an invariant measure such that the interior of its support is ...
Hille, Sander C.   +2 more
core   +4 more sources

CLTs and asymptotic variance of time-sampled Markov chains [PDF]

open access: yes, 2011
For a Markov transition kernel P and a probability distribution μ on nonnegative integers, a time-sampled Markov chain evolves according to the transition kernel Pμ = Σkμ(k)Pk.
A Barker   +27 more
core   +3 more sources

Error bounds of MCMC for functions with unbounded stationary variance [PDF]

open access: yes, 2015
We prove explicit error bounds for Markov chain Monte Carlo (MCMC) methods to compute expectations of functions with unbounded stationary variance. We assume that there is a $p\in(1,2)$ so that the functions have finite $L_p$-norm.
Rudolf, Daniel, Schweizer, Nikolaus
core   +1 more source

Attractors of iterated function systems and Markov operators

open access: yesAbstract and Applied Analysis, Volume 2003, Issue 8, Page 479-502, 2003., 2003
This paper contains a review of results concerning “generalized” attractors for a large class of iterated function systems {wi : i ∈ I} acting on a complete separable metric space. This generalization, which originates in the Banach contraction principle, allows us to consider a new class of sets, which we call semi‐attractors (or semifractals).
Józef Myjak, Tomasz Szarek
wiley   +1 more source

A model for a dynamic preventive maintenance policy

open access: yesInternational Journal of Stochastic Analysis, Volume 13, Issue 4, Page 321-346, 2000., 2000
This paper exhibits a stochastic model which describes the evolution of a material submitted to inspections. When an inspection takes place, a decision depending on the observed state of the material is taken. If the material is in “not too bad” state, no service is rendered, only the date of the next inspection is chosen. If the material is in a “bad”
Christiane Cocozza-Thivent
wiley   +1 more source

Exponential inequalities for nonstationary Markov chains

open access: yesDependence Modeling, 2019
Exponential inequalities are main tools in machine learning theory. To prove exponential inequalities for non i.i.d random variables allows to extend many learning techniques to these variables.
Alquier Pierre   +2 more
doaj   +1 more source

Invariant probabilities for Feller‐Markov chains

open access: yesInternational Journal of Stochastic Analysis, Volume 8, Issue 4, Page 341-345, 1995., 1995
We give necessary and sufficient conditions for the existence of invariant probability measures for Markov chains that satisfy the Feller property.
Onésimo Hernández-Lerma   +1 more
wiley   +1 more source

Regeneration and general Markov chains

open access: yesInternational Journal of Stochastic Analysis, Volume 7, Issue 3, Page 357-371, 1994., 1994
Ergodicity, continuity, finite approximations and rare visits of general Markov chains are investigated. The obtained results permit further quantitative analysis of characteristics, such as, rates of convergence, continuity (measured as a distance between perturbed and non‐perturbed characteristics), deviations between Markov chains, accuracy of ...
Vladimir V. Kalashnikov
wiley   +1 more source

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