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An Empirical Process Limit Theorem For Sparsely Correlated Data, Thomas Lumley
An Empirical Process Limit Theorem For Sparsely Correlated Data, Thomas Lumley
UW Biostatistics Working Paper Series
We consider data that are dependent, but where most small sets of observations are independent. By extending Bernstein's inequality we prove a strong law of law numbers and an empirical process central limit theorem under bracketing entropy conditions.