An application of Fourier methods to the problem of sharpening the Berry-Esseen inequality

1972/01/01 by Paul Beek · 7 citations
Mathematics · #Analytic Number Theory Research #Artificial intelligence #Berry #Computer science #Fourier transform #Inequality #Mathematical analysis #Mathematics #Point processes and geometric inequalities #Sharpening #Spectral Theory in Mathematical Physics

paper · pdf · doi:10.1007/bf00536558

crossref issued 1972/01/01 · crossref published 1972/01/01 · crossref published-print 1972/01/01 · openalex publication_date 1972/01/01 · crossref created 2004/11/18 · crossref deposited 2019/04/09 · openalex created_date 2025/10/10 · crossref indexed 2026/03/10 · openalex updated_date 2026/07/23

Citations

• The accuracy of the Gaussian approximation to the sum of independent variates

Cited by

• On the accuracy of the Gaussian approximation
• An improvement of the Berry--Esseen inequality with applications to Poisson and mixed Poisson random sums
• Sharpening of the Upper Bound of the Absolute Constant in the Berry–Esseen Inequality
• Refinement of the upper bound of the constant in the central limit theorem
• On the Upper Bound for the Absolute Constant in the Berry–Esseen Inequality
• Probability
• Berry–Esseen theorem [wikipedia]