Geodesic
Distance in variation between two arbitrary distributions via the associated $w$-functions
Teoriâ veroâtnostej i ee primeneniâ, Tome 40 (1995) no. 3, pp. 685-694

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Variational inequalities are obtained for total variation distance between two arbitrary probability measures in terms of the corresponding $w$-functions. The results are extended to the distance between a distribution of a sum of dependent variables and an arbitrary distribution. Several applications are given.
Keywords: $w$-function.
Mots-clés : total variation distance 
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     author = {N. Papadatos and V. Papathanasiou},
     title = {Distance in variation between two arbitrary distributions via the associated $w$-functions},
     journal = {Teori\^a vero\^atnostej i ee primeneni\^a},
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     year = {1995},
     language = {en},
     url = {http://geodesic.mathdoc.fr/item/TVP_1995_40_3_a20/}
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N. Papadatos; V. Papathanasiou. Distance in variation between two arbitrary distributions via the associated $w$-functions. Teoriâ veroâtnostej i ee primeneniâ, Tome 40 (1995) no. 3, pp. 685-694. http://geodesic.mathdoc.fr/item/TVP_1995_40_3_a20/