On the accuracy of the Gaussian approximation

2009/12/01 by I. S. Tyurin · 4 citations
Earth and Planetary Sciences · Mathematics · #Applied mathematics #Econometrics #Gaussian #Geophysics and Gravity Measurements #Mathematics #Physics #Statistical and numerical algorithms #Statistics

paper · doi:10.1134/s1064562409060155

crossref issued 2009/12/01 · crossref published 2009/12/01 · crossref published-print 2009/12/01 · openalex publication_date 2009/12/01 · crossref created 2009/12/28 · crossref published-online 2009/12/29 · openalex created_date 2025/10/10 · crossref deposited 2026/03/17 · crossref indexed 2026/03/17 · openalex updated_date 2026/08/06

Citations

• A sharpening of the inequality of Berry-Esseen
• Stein's method and the zero bias transformation with application to simple random sampling
• An application of Fourier methods to the problem of sharpening the Berry-Esseen inequality
• The accuracy of the Gaussian approximation to the sum of independent variates

Cited by

• Refinement of the upper bounds of the constants in Lyapunov's theorem
• An improvement of the Berry--Esseen inequality with applications to Poisson and mixed Poisson random sums
• An improvement of convergence rate estimates in the Lyapunov theorem
• Berry–Esseen theorem [wikipedia]