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Numerical approximation of invariant measures for hybrid diffusion systems

IEEE Transactions on Automatic Control, 2005
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Gang George Yin   +2 more
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Exact and Bayesian Approximate Measurement Invariance

2018
Cross-cultural research is concerned with comparisons of substantive variables across cultures, countries, or other types of socially relevant groups and contexts. This chapter introduces the case of Bayesian approximate measurement invariance as an alternative when exact measurement invariance fails. It presents an empirical example based on data from
Seddig, Daniel, Leitgöb, Heinz
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Approximation Procedures for Invariant Probability Measures

2003
In this chapter we consider a MC on a LCS metric space X with t.p.f. P. Suppose for the time being that t E 11I (X) is an ergodic invariant p.m. for P (see Definition 2.4.1). We address the following issue. Given f E L1(µ), we want to evaluate f f d,u knowing only that the ergodic invariant p.m. p exists but h itself is not known.
Onésimo Herná-Lerma   +1 more
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Algorithms for approximation of invariant measures for IFS

manuscripta mathematica, 2004
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Truncation approximations of invariant measures for Markov chains

Journal of Applied Probability, 1998
Let P be the transition matrix of a positive recurrent Markov chain on the integers, with invariant distribution π. If (n)P denotes the n x n ‘northwest truncation’ of P, it is known that approximations to π(j)/π(0) can be constructed from (n)P, but these are known to converge to the probability distribution itself in special cases only.
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Fractal approximation by absolutely continuous invariant measures

Physics Letters A, 1990
Abstract Let {X:τ1, …, τN} be an iterated function system with attractor S. We associate probabilities p1, …, pN with τ1, …, τN, respectively. Let M ( X ) be the space of Borel probability measures on X, and let M: M ( X )→ M ( X ) be the Markov operator associated with the iterated function system and its probabilities given ...
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Approximation of invariant measures of stochastic evolution processes: Time discretization

Proceedings of the American Mathematical Society
This paper deals with approximation of invariant measures of stochastic evolution processes. Under certain conditions, we demonstrate that any limit point of invariant measures of the time discrete approximations, i.e., numerical scheme, must be an invariant measure of the underlying continuous stochastic evolution processes as the step size approaches
Li, Dingshi, Pu, Zhe, Mi, Shaoyue
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An adaptive subdivision technique for the approximation of attractors and invariant measures

Computing and Visualization in Science, 1998
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Dellnitz, Michael, Junge, Oliver
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A method of approximation of invariant measures for maps on the unit interval

Letters in Mathematical Physics, 1983
A method is proposed for the construction of continuous functions approximating the density functions for invariant measures of a map on the unit interval.
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Stability and approximation of invariant measures for a class of nonexpanding transformations

Nonlinear Analysis: Theory, Methods & Applications, 1994
Let \(T\) be a piecewise convex and increasing map on \([0, 1]\) with \(T'(0)> 1\) and such that the left endpoint of each monotone branch is mapped to 0. For some classes of deterministic and nondeterministic perturbations of such a map \(T\) the author proves stability of the unique invariant density \(f^*\). This result applies in particular to Ulam'
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