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Weak convergence in Lp(0,1) of the uniform empirical process under dependence

✍ Scribed by P.E. Oliveira; Ch. Suquet

Publisher: Elsevier Science
Year: 1998
Tongue: English
Weight: 373 KB
Volume: 39
Category: Article
ISSN: 0167-7152
DOI: 10.1016/s0167-7152(98)00091-1

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✦ Synopsis

The weak convergence of the empirical process of strong mixing or associated random variables is studied in LP(0, 1 ). We find minimal rates of convergence to zero of the mixing coefficients or the covariances, in either case, supposing stationarity of the underlying variables. The rates obtained improve, for p not too large, the corresponding results in the classical D(0, 1) framework. (

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