Some general results concerning the asymptotic behavior of the value of the empirical distribution function at a random point (e.g. the sample mean) are given. These results are then used to obtain: ...
Function spaces form a fundamental framework in modern mathematical analysis, allowing researchers to systematically study functions through norms, metrics and topological properties. Asymptotic ...
The Annals of Statistics, Vol. 32, No. 6 (Dec., 2004), pp. 2580-2615 (36 pages) We propose and analyze nonparametric tests of the null hypothesis that a function belongs to a specified parametric ...
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