The paper develops a general framework for the formulation of generic uniform laws of large numbers. In particular, we introduce a basic generic uniform law of large numbers that contains recent uniform laws of large numbers by Andrews  and Hoadley  as special cases. We also develop a truncation approach that makes it possible to obtain uniform laws of large numbers for the functions under consideration from uniform laws of large numbers for truncated versions of those functions.
On the Formulation of Uniform Laws of Large Numbers: A Truncation ApproachBenedikt M. Poetscher and Ingmar Prucha ,
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