Certain estimates dealing with the stability of H.~Cramer's theorem
Zapiski Nauchnykh Seminarov POMI, Studies in mathematical statistics. Part 3, Tome 87 (1979), pp. 187-195

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Using the approach suggested in [8] the author improved the results due early to S. G. Maloshevsky and V. V. Senatov.
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     author = {I. S. Shiganov},
     title = {Certain estimates dealing with the stability of {H.~Cramer's} theorem},
     journal = {Zapiski Nauchnykh Seminarov POMI},
     pages = {187--195},
     publisher = {mathdoc},
     volume = {87},
     year = {1979},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/ZNSL_1979_87_a14/}
}
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I. S. Shiganov. Certain estimates dealing with the stability of H.~Cramer's theorem. Zapiski Nauchnykh Seminarov POMI, Studies in mathematical statistics. Part 3, Tome 87 (1979), pp. 187-195. http://geodesic.mathdoc.fr/item/ZNSL_1979_87_a14/