A sharpening of the inequality of Berry-Esseen

1967/01/01 by V. M. Zolotarev, В. М. Золотарев · 42 citations
Mathematics · #Advanced Operator Algebra Research #Analytic Number Theory Research #Artificial intelligence #Berry #Biology #Computer science #Horticulture #Inequality #Mathematical analysis #Mathematics #Mathematics and Applications #Sharpening

paper · pdf · doi:10.1007/bf00531598

published in Zeitschrift f�r Wahrscheinlichkeitstheorie und Verwandte Gebiete 8(4), 332-342 (Springer Science and Business Media LLC)

crossref issued 1967/01/01 · crossref published 1967/01/01 · crossref published-print 1967/01/01 · openalex publication_date 1967/01/01 · crossref created 2004/11/18 · crossref deposited 2019/04/10 · openalex created_date 2025/10/10 · crossref indexed 2026/03/10 · openalex updated_date 2026/07/23

Citations

• Fourier analysis of distribution functions. A mathematical study of the Laplace-Gaussian law
• The accuracy of the Gaussian approximation to the sum of independent variates
• On the central limit theorem in the case of not equally distributed random variables

Cited by

• On the accuracy of the Gaussian approximation
• 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
• Berry–Esseen theorem [wikipedia]