Geodesic
Invariant estimates of the shift for distributions on finite groups
Teoriâ veroâtnostej i ee primeneniâ, Tome 20 (1975) no. 1, pp. 69-81 
V. M. Maksimov. Invariant estimates of the shift for distributions on finite groups. Teoriâ veroâtnostej i ee primeneniâ, Tome 20 (1975) no. 1, pp. 69-81. http://geodesic.mathdoc.fr/item/TVP_1975_20_1_a5/
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     author = {V. M. Maksimov},
     title = {Invariant estimates of the shift for distributions on finite groups},
     journal = {Teori\^a vero\^atnostej i ee primeneni\^a},
     pages = {69--81},
     year = {1975},
     volume = {20},
     number = {1},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/TVP_1975_20_1_a5/}
}
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Voir la notice de l'article provenant de la source Math-Net.Ru

Let $\{\mu\alpha\}$ be a family of measures on a finite group $G$ where $\mu$ is a measure on $G$ and $\alpha\in G$. The measure $\mu\alpha$ is said to be obtained from $\mu$ by shift $\alpha$. In the paper, invariant estimates $f(x)$, $x$ being a sample $(x_1,\dots,x_n)$ from the distribution $\mu\alpha$ with a known $\mu$, for the shift $\alpha$ are constructed, i.e. such estimates that $\varphi(f(x))=f(\varphi(x))$ for any automorphism $\varphi$.