Geodesic
On the stability of decompositions of probability laws
Teoriâ veroâtnostej i ee primeneniâ, Tome 28 (1983) no. 3, pp. 572-574

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It is proved that the decomposition of each probability distribution on the complete separable metric group is stable in the weak metric. Besides, the decomposition of each discrete distribution is stable in the variational metric. 
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     author = {{\CYRA}. P. U\v{s}akova},
     title = {On the stability of decompositions of probability laws},
     journal = {Teori\^a vero\^atnostej i ee primeneni\^a},
     pages = {572--574},
     publisher = {mathdoc},
     volume = {28},
     number = {3},
     year = {1983},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/TVP_1983_28_3_a12/}
}
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А. P. Ušakova. On the stability of decompositions of probability laws. Teoriâ veroâtnostej i ee primeneniâ, Tome 28 (1983) no. 3, pp. 572-574. http://geodesic.mathdoc.fr/item/TVP_1983_28_3_a12/