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Central Limit Theorem for Random “Contractive” Functions on Interval

open access: yesAnnales Mathematicae Silesianae
We use the approach from Czudek and Szarek (see [1]) to prove the central limit theorem for a stationary Markov chain generated by an iterative function system for a family of increasing, injective functions on [0, 1] with “contractive” properties.
Block Maciej   +2 more
doaj   +1 more source

A point on discrete versus continuous state-space Markov chains

open access: yesDependence Modeling
This article investigates the effects of discrete marginal distributions on copula-based Markov chains. We establish results on mixing properties and parameter estimation for a copula-based Markov chain model with Bernoulli(pp) marginal distributions ...
Muia Mathias, Longla Martial
doaj   +1 more source

Multivariate Markov Families of Copulas

open access: yesDependence Modeling, 2015
Overbeck Ludger, Schmidt Wolfgang M.
doaj   +1 more source
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Spectral gap and cutoff phenomenon for the Gibbs sampler of ∇φ interfaces with convex potential

Annales De L Institut Henri Poincare-probabilites Et Statistiques, 2022
We consider the Gibbs sampler, or heat bath dynamics associated to log-concave measures on R describing ∇φ interfaces with convex potentials. Under minimal assumptions on the potential, we find that the spectral gap of the process is always given by gapN
P. Caputo, Cyril Labbé, H. Lacoin
semanticscholar   +1 more source

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