Geodesic
A Short Proof of the Cramér–Rao Inequality
Teoriâ veroâtnostej i ee primeneniâ, Tome 6 (1961) no. 3, pp. 352-353 
O. V. Shalaevskii. A Short Proof of the Cramér–Rao Inequality. Teoriâ veroâtnostej i ee primeneniâ, Tome 6 (1961) no. 3, pp. 352-353. http://geodesic.mathdoc.fr/item/TVP_1961_6_3_a11/
@article{TVP_1961_6_3_a11,
     author = {O. V. Shalaevskii},
     title = {A {Short} {Proof} of the {Cram\'er{\textendash}Rao} {Inequality}},
     journal = {Teori\^a vero\^atnostej i ee primeneni\^a},
     pages = {352--353},
     year = {1961},
     volume = {6},
     number = {3},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/TVP_1961_6_3_a11/}
}
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Voir la notice de l'article provenant de la source Math-Net.Ru

A simple proof of the Cramér–Rao inequality which may be regarded as a basis of the theory of efficient estimations is presented.