Wellner, Jon A. A Glivenko-Cantelli theorem for empirical measures of independent but non-identically distributed random variables. (English) Zbl 0458.60023 Stochastic Processes Appl. 11, 309-312 (1981). Page: −5 −4 −3 −2 −1 ±0 +1 +2 +3 +4 +5 Show Scanned Page Cited in 6 Documents MSC: 60F15 Strong limit theorems 60B10 Convergence of probability measures Keywords:Glivenko-Cantelli theorem; empirical measures; Prohorov metric; bounded- dual-Lipschitz metric PDFBibTeX XMLCite \textit{J. A. Wellner}, Stochastic Processes Appl. 11, 309--312 (1981; Zbl 0458.60023) Full Text: DOI References: [1] Dudley, R. M., Convergence of Baire measures, Studia Math., 27, 251-268 (1966) · Zbl 0147.31301 [2] Dudley, R. M., Distances of probability measures and random variables, Ann. Math. Statist., 39, 1563-1572 (1968) · Zbl 0169.20602 [3] Dudley, R. M., The speed of mean Glivenko-Cantelli convergence, Ann. Math. Statist., 40, 40-50 (1969) · Zbl 0184.41401 [4] Dudley, R. M., Probabilities and metrics; Convergence of laws on metric spaces with a view to statistical testing, (Lecture Notes Series No. 45 (1976), Mathematics Institute, Aarhus University: Mathematics Institute, Aarhus University Aarhus, Denmark) · Zbl 0355.60004 [5] Fortet, R.; Mourier, E., Convergence de la répartition empirique vers la répartition théorique, Ann. Sci. École Norm. Sup., 70, 266-285 (1953) · Zbl 0053.09601 [6] LeCam, L., Convergence in distribution of stochastic processes, Univ. of Calif. Publications in Statistics, 2, 11, 207-236 (1957) [7] Shorack, G. R., The weighted empirical process of row independent random variables with arbitrary d.f.’s, Statistica Neerlandica, 33, 169-189 (1979) · Zbl 0436.60009 [8] Varadarajan, V. S., On the convergence of sample probability distributions, Sankhyā, 19, 23-26 (1958) · Zbl 0082.34201 This reference list is based on information provided by the publisher or from digital mathematics libraries. Its items are heuristically matched to zbMATH identifiers and may contain data conversion errors. In some cases that data have been complemented/enhanced by data from zbMATH Open. This attempts to reflect the references listed in the original paper as accurately as possible without claiming completeness or a perfect matching.