Geodesic
Local limit theorems for smoothed Bernoulli and other convolutions
Teoriâ veroâtnostej i ee primeneniâ, Tome 65 (2020) no. 1, pp. 79-102

Voir la notice de l'article provenant de la source Math-Net.Ru

We explore the asymptotic behavior of densities of sums of independent random variables that are convoluted with a small continuous noise.
Keywords: central limit theorem, local limit theorem. 
@article{TVP_2020_65_1_a4,
     author = {S. G. Bobkov and A. Marsiglietti},
     title = {Local limit theorems for smoothed {Bernoulli} and other convolutions},
     journal = {Teori\^a vero\^atnostej i ee primeneni\^a},
     pages = {79--102},
     publisher = {mathdoc},
     volume = {65},
     number = {1},
     year = {2020},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/TVP_2020_65_1_a4/}
}
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S. G. Bobkov; A. Marsiglietti. Local limit theorems for smoothed Bernoulli and other convolutions. Teoriâ veroâtnostej i ee primeneniâ, Tome 65 (2020) no. 1, pp. 79-102. http://geodesic.mathdoc.fr/item/TVP_2020_65_1_a4/