S. G. Bobkov, A. Marsiglietti, “Local limit theorems for smoothed Bernoulli and other convolutions”, Teor. Veroyatnost. i Primenen., 2020, Volume 65, Issue 1,Pages <nobr>79

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Local limit theorems for smoothed Bernoulli and other convolutions

S. G. Bobkov^a, A. Marsiglietti^b

^a School of Mathematics, University of Minnesota, Minneapolis, MN, USA
^b Department of Mathematics, University of Florida, Gainesville, FL, USA

Abstract: 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.

Received: 20.12.2018
Accepted: 22.05.2019

DOI: 10.4213/tvp5283