Geodesic
On a property of independent mappings
Teoriâ veroâtnostej i ee primeneniâ, Tome 49 (2004) no. 2, pp. 362-365

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We consider a sufficient condition on a given mapping on a general probability space that any random variable independent of this mapping assumes only finitely valued variables.
Keywords: independence, finitely valued variables, Ottaviani theorem, absolute continuity. 
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     author = {A. A. Lipchyus},
     title = {On a property of independent mappings},
     journal = {Teori\^a vero\^atnostej i ee primeneni\^a},
     pages = {362--365},
     publisher = {mathdoc},
     volume = {49},
     number = {2},
     year = {2004},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/TVP_2004_49_2_a8/}
}
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A. A. Lipchyus. On a property of independent mappings. Teoriâ veroâtnostej i ee primeneniâ, Tome 49 (2004) no. 2, pp. 362-365. http://geodesic.mathdoc.fr/item/TVP_2004_49_2_a8/