Back to Search Start Over

On Chebyshev’s Theorem and Bernoulli’s Law of Large Numbers

Authors :
O. P. Vinogradov
Source :
Moscow University Mathematics Bulletin. 76:135-138
Publication Year :
2021
Publisher :
Allerton Press, 2021.

Abstract

The law of large numbers for the case of tossing the fair coin is proven. The proof is based on the method that Chebyshev used to prove his inequality and does not require concepts such as independence, mathematical expectation, and variance. Only the concepts of equiprobability of events, the formula of classical probability, the simplest concepts of combinatorics, and Newton’s binomial formula are assumed to be known.

Details

ISSN :
19348444 and 00271322
Volume :
76
Database :
OpenAIRE
Journal :
Moscow University Mathematics Bulletin
Accession number :
edsair.doi...........597994698924d32793d559dfc55815b7
Full Text :
https://doi.org/10.3103/s0027132221030086