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On the Bicentenary in St. Petersburg of Jacob Bernoulli's Theorem
Author(s) -
Seneta Eugene
Publication year - 2014
Publication title -
international statistical review
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 1.051
H-Index - 54
eISSN - 1751-5823
pISSN - 0306-7734
DOI - 10.1111/insr.12048
Subject(s) - st petersburg , markov chain , bernoulli's principle , focus (optics) , mathematics , mathematical economics , combinatorics , sociology , physics , statistics , regional science , russian federation , optics , thermodynamics
Summary We focus on the Bicentenary (1913) celebrations, organised in St. Petersburg, Russia, by the great probabilist, A. A. Markov, founder of the theory of Markov chains. This theory was stimulated by the need to demonstrate a Law of Large Numbers for sums of dependent random variables. Markov's work on the Law of Large Numbers originating in the celebrations was exposited and extended by S. N. Bernstein and, in English, by J. V. Uspensky, who had played an integral part in the St. Petersburg celebrations. Copyright © 2014 John Wiley & Sons, Ltd.