On r-Quick Limit Sets for Empirical and Related Processes Based on Mixing Random Variables
نویسنده
چکیده
The r-quick limit points of normalized sample paths and empirical distribution functions of mixing processes are characterized. An r-quick version of BahadurKiefer-type representation for sample quantiles is established, which yields the rquick limit points of quantile processes. These results are applied to linear functions of order statistics. Some results on r-quick convergence of certain Gaussian processes are also established.
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