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This article is cited in 1 scientific paper (total in 1 paper)
Local limit theorems for smoothed Bernoulli and other convolutions
S. G. Bobkova, A. Marsigliettib 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
Citation:
S. G. Bobkov, A. Marsiglietti, “Local limit theorems for smoothed Bernoulli and other convolutions”, Teor. Veroyatnost. i Primenen., 65:1 (2020), 79–102; Theory Probab. Appl., 65:1 (2020), 62–81
Linking options:
https://www.mathnet.ru/eng/tvp5283https://doi.org/10.4213/tvp5283 https://www.mathnet.ru/eng/tvp/v65/i1/p79
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Abstract page: | 306 | Full-text PDF : | 51 | References: | 32 | First page: | 8 |
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