2026-07-072026-07-07http://salesiana.dossiersoluciones.com/handle/123456789/161366In this paper we obtain non-uniform exponential upper bounds for the rate of convergence of a version of the algorithm Context, when the underlying tree is not necessarily bounded. The algorithm Context is a well-known tool to estimate the context tree of a Variable Length Markov Chain. As a consequence of the exponential bounds we obtain a strong consistency result. We generalize in this way several previous results in the field.13 pagesStatistics TheoryProbability62M09; 60G99Exponential inequalities for empirical unbounded context treestext