Perfect simulation for locally continuous chains of infinite order

Sandro Gallo; Nancy L. Garcia

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arXiv · 1103.2058

Perfect simulation for locally continuous chains of infinite order

Sandro Gallo·Nancy L. Garcia

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Abstract

We establish sufficient conditions for perfect simulation of chains of infinite order on a countable alphabet. The new assumption, localized continuity, is formalized with the help of the notion of context trees, and includes the traditional continuous case, probabilistic context trees and discontinuous kernels. Since our assumptions are more refined than uniform continuity, our algorithms perfectly simulate continuous chains faster than the existing algorithms of the literature. We provide several illustrative examples.

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BibTeX RIS

Sandro Gallo, Nancy L. Garcia. 2013-01-17. Perfect simulation for locally continuous chains of infinite order. https://arxiv.org/abs/1103.2058

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