On the mean speed of convergence of empirical and occupation measures in Wasserstein distance
نویسندگان
چکیده
منابع مشابه
On the Mean Speed of Convergence of Empirical and Occupation Measures in Wasserstein Distance
In this work, we provide non-asymptotic bounds for the average speed of convergence of the empirical measure in the law of large numbers, in Wasserstein distance. We also consider occupation measures of ergodic Markov chains. One motivation is the approximation of a probability measure by nitely supported measures (the quantization problem). It is found that rates for empirical or occupation me...
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ژورنال
عنوان ژورنال: Annales de l'Institut Henri Poincaré, Probabilités et Statistiques
سال: 2014
ISSN: 0246-0203
DOI: 10.1214/12-aihp517