A Converse to Scheffe's Theorem
Boos, Dennis D.
Ann. Statist., Tome 13 (1985) no. 1, p. 423-427 / Harvested from Project Euclid
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Convergence of densities implies convergence of their distribution functions via Scheffe's theorem. This paper is concerned with the converse: what are sufficient conditions to obtain convergence of densities from convergence of distribution functions? A general lemma is given and local limit results are obtained for translation and scale statistics.
Publié le : 1985-03-14
Classification:  Convergence of densities,  local limit theorems,  translation statistics,  scale statistics,  62E20,  62G05 
@article{1176346604,
     author = {Boos, Dennis D.},
     title = {A Converse to Scheffe's Theorem},
     journal = {Ann. Statist.},
     volume = {13},
     number = {1},
     year = {1985},
     pages = { 423-427},
     language = {en},
     url = {http://dml.mathdoc.fr/item/1176346604}
}

Boos, Dennis D. A Converse to Scheffe's Theorem. Ann. Statist., Tome 13 (1985) no. 1, pp.  423-427. http://gdmltest.u-ga.fr/item/1176346604/