Geodesic
On monotonicity in the law of large numbers for interchangeable random variables
Teoriâ veroâtnostej i ee primeneniâ, Tome 29 (1984) no. 1, pp. 150-153

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Some conditions for the arithmetic mean of interchangeable random variables to be monotone in the sence of order relations «stochastically smaller» and «stochastically smaller in mean» are stated. 
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     author = {Yu. G. Kuricin},
     title = {On monotonicity in the law of large numbers for interchangeable random variables},
     journal = {Teori\^a vero\^atnostej i ee primeneni\^a},
     pages = {150--153},
     publisher = {mathdoc},
     volume = {29},
     number = {1},
     year = {1984},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/TVP_1984_29_1_a18/}
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Yu. G. Kuricin. On monotonicity in the law of large numbers for interchangeable random variables. Teoriâ veroâtnostej i ee primeneniâ, Tome 29 (1984) no. 1, pp. 150-153. http://geodesic.mathdoc.fr/item/TVP_1984_29_1_a18/