A strengthened asymptotic uniform distribution property

• Autorzy: Weber Michel J. G.

Identyfikatory

DOI

10.37190/0208-4147.00147

• Języki publikacji: EN

Abstrakty

EN

We are concerned with estimating the rate of convergence in (0.1), a question recently discussed by Dolgopyat and Hafouta (2022). We obtain a quantitative estimate under weaker moment assumptions, by using a different approach.

Słowa kluczowe

EN

local limit theorem; asymptotic uniform distribution; independent sequences of random variables; Rozanov's theorem; Poisson summation formula; divisors; Bernoulli random variables; elliptic Theta functions

• Wydawca: Wrocław University of Science and Technology
• Czasopismo: Probability and Mathematical Statistics
• Rocznik: 2023
• Tom: Vol. 43, Fasc. 2
• Strony: 263--285
• Opis fizyczny: Bibliogr. 32 poz.

Twórcy

autor

Weber Michel J. G.

• IRMA, UMR 7501, Université Louis-Pasteur et C.N.R.S., Strasbourg, France

Bibliografia

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