On the maximum difference between the empirical and expected histograms for sums

DOI10.2140/PJM.1982.100.287zbMath0449.62016OpenAlexW2026959626MaRDI QIDQ1147454

Persi Diaconis, David Freedman

Publication date: 1982

Published in: Pacific Journal of Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.2140/pjm.1982.100.287

zbMATH Keywords

joint limiting distributionextreme value distributionEdgeworth-like expansionsmaximum deviation of empirical histogram

Mathematics Subject Classification ID

Asymptotic distribution theory in statistics (62E20) Central limit and other weak theorems (60F05) Order statistics; empirical distribution functions (62G30) Sums of independent random variables; random walks (60G50)

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