Relations between Weak and Uniform Convergence of Measures with Applications
Rao, R. Ranga
Ann. Math. Statist., Tome 33 (1962) no. 4, p. 659-680 / Harvested from Project Euclid
Text on Project Euclid
PDF
Alt PDF
In this paper the relation between weak convergence of a sequence of measures and uniform convergence over certain classes of continuity sets (or uniform convergence of the integrals over certain classes of continuous functions) is studied. These results are applied to obtain laws of large numbers for random functions and generalizations of the Glivenko-Cantelli lemma.
Publié le : 1962-06-14
Classification:  
@article{1177704588,
     author = {Rao, R. Ranga},
     title = {Relations between Weak and Uniform Convergence of Measures with Applications},
     journal = {Ann. Math. Statist.},
     volume = {33},
     number = {4},
     year = {1962},
     pages = { 659-680},
     language = {en},
     url = {http://dml.mathdoc.fr/item/1177704588}
}

Rao, R. Ranga. Relations between Weak and Uniform Convergence of Measures with Applications. Ann. Math. Statist., Tome 33 (1962) no. 4, pp.  659-680. http://gdmltest.u-ga.fr/item/1177704588/