Geodesic
On some properties of a mean value
Zapiski Nauchnykh Seminarov POMI, Probability and statistics. Part 4, Tome 278 (2001), pp. 204-207

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In the note the best possible estimates from below are obtained for the mean value of a random variable with a distribution function which satisfies to some restrictions on a growth. 
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     author = {L. V. Rozovskii},
     title = {On some properties of a mean value},
     journal = {Zapiski Nauchnykh Seminarov POMI},
     pages = {204--207},
     publisher = {mathdoc},
     volume = {278},
     year = {2001},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/ZNSL_2001_278_a11/}
}
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L. V. Rozovskii. On some properties of a mean value. Zapiski Nauchnykh Seminarov POMI, Probability and statistics. Part 4, Tome 278 (2001), pp. 204-207. http://geodesic.mathdoc.fr/item/ZNSL_2001_278_a11/