Geodesic
Invariant statistics and characterizations of probability distributions
Teoriâ veroâtnostej i ee primeneniâ, Tome 20 (1975) no. 3, pp. 596-609

Voir la notice de l'article provenant de la source Math-Net.Ru

The problem of a characterization of a family of probability measures with group parameter by the distribution of the maximal invariant is considered. For compact groups and plane movements groups, simple sufficient conditions for such a characterization are given. 
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     author = {A. L. Rukhin},
     title = {Invariant statistics and characterizations of probability distributions},
     journal = {Teori\^a vero\^atnostej i ee primeneni\^a},
     pages = {596--609},
     publisher = {mathdoc},
     volume = {20},
     number = {3},
     year = {1975},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/TVP_1975_20_3_a8/}
}
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A. L. Rukhin. Invariant statistics and characterizations of probability distributions. Teoriâ veroâtnostej i ee primeneniâ, Tome 20 (1975) no. 3, pp. 596-609. http://geodesic.mathdoc.fr/item/TVP_1975_20_3_a8/