Uniform consistency of the partitioning estimate under ergodic conditions
نویسندگان
چکیده
منابع مشابه
Uniform Ergodic Theorems for Dynamical Systems Under VC Entropy Conditions
The classic limit theorems of Vapnik and Chervonenkis [27,28] show that if a function class F satisfies a random entropy condition, then the strong law of large numbers holds uniformly over F . In this paper we show that an analogous weighted entropy condition implies that Birkhoff’s pointwise ergodic theorem holds uniformly over F . In this way we obtain a variety of uniform ergodic theorems f...
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ژورنال
عنوان ژورنال: Journal of the Australian Mathematical Society. Series A. Pure Mathematics and Statistics
سال: 1999
ISSN: 0263-6115
DOI: 10.1017/s1446788700000835