Geodesic
Bounds in the weak law of large numbers
Matematičeskie zametki, Tome 12 (1972) no. 5, pp. 639-642 Cet article a éte moissonné depuis la source Math-Net.Ru

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We obtain bounds of an asymptotic nature in the weak law of large numbers for sums of random variables without assuming the variables in question have any moments. 
@article{MZM_1972_12_5_a18,
     author = {V. V. Petrov},
     title = {Bounds in the weak law of large numbers},
     journal = {Matemati\v{c}eskie zametki},
     pages = {639--642},
     year = {1972},
     volume = {12},
     number = {5},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/MZM_1972_12_5_a18/}
}
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V. V. Petrov. Bounds in the weak law of large numbers. Matematičeskie zametki, Tome 12 (1972) no. 5, pp. 639-642. http://geodesic.mathdoc.fr/item/MZM_1972_12_5_a18/