Local limit theorems for smoothed Bernoulli and other convolutions

Исследуется асимптотическое поведение свертки распределения суммы независимых случайных величин с распределением малого непрерывного шума. We explore the asymptotic behavior of densities of sums of independent random variables that are convoluted with a small continuous noise....

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Veröffentlicht in:Teorija verojatnostej i ee primenenija 2020, Vol.65 (1), p.79-102
Hauptverfasser: Bobkov, Sergei Germanovich, Marsiglietti, Arnaud
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creator Bobkov, Sergei Germanovich
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description Исследуется асимптотическое поведение свертки распределения суммы независимых случайных величин с распределением малого непрерывного шума. We explore the asymptotic behavior of densities of sums of independent random variables that are convoluted with a small continuous noise.
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title Local limit theorems for smoothed Bernoulli and other convolutions
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