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- W2597027530 abstract "Empirical processes for non ergodic data are investigated under uniform distance. Some CLTs, both uniform and non uniform, are proved. In particular, conditions for Bn = n^(1/2) (µn - bn) and Cn = n^(1/2) (µn - an) to converge in distribution are given, where µn is the empirical measure, an the predictive measure, and bn = 1/n sum (ai) for i=0 to n-1. Such conditions can be applied to any adapted sequence of random variables. Various examples and a characterization of conditionally identically distributed sequences are given as well." @default.
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- W2597027530 date "2010-11-01" @default.
- W2597027530 modified "2023-09-27" @default.
- W2597027530 title "Limit Theorems for Empirical Processes Based on Dependent Data" @default.
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