A tricentenary history of the law of large numbers

DOI10.3150/12-BEJSP12zbMath1277.60005arXiv1309.6488OpenAlexW2012382622WikidataQ55894457 ScholiaQ55894457MaRDI QIDQ373519

Eugene Seneta

Publication date: 17 October 2013

Published in: Bernoulli (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1309.6488

zbMATH Keywords

Bienaymé-Chebyshev inequalityJacob Bernoulli's theoremMarkov's theoremStirling's approximation

Mathematics Subject Classification ID

Central limit and other weak theorems (60F05) History of probability theory (60-03)

Related Items (5)

On the Bicentenary of the Birth of P. L. Chebyshev, A Great Russian Mathematician ⋮ In praise (and search) of J. V. Uspensky ⋮ The difficult birth of stochastics: Jacob Bernoulli's \textit{Ars conjectandi} (1713) ⋮ An analysis of the superiorization method via the principle of concentration of measure ⋮ The weak law of large numbers for nonnegative summands

Cites Work

• A history of parametric statistical inference from Bernoulli to Fisher, 1713--1935
• Weak laws of large numbers for cooperative gamblers
• On the history of the strong law of large numbers and Boole's inequality
• Der Mathematiker Abraham de Moivre (1667--1754)
• Slowly varying functions and asymptotic relations
• De Morgan in the Prehistory of Statistical Hypothesis Testing
• Bortkiewicz's Data and the Law of Small Numbers
• Markov and the Birth of Chain Dependence Theory
• Statistical Regularity and Free Will: L.A.J. Quetelet and P.A. Nekrasov
• Regularly varying functions
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