# Binomial Distribution

• Ludomir M. Laudański
Chapter
Part of the Intelligent Systems Reference Library book series (ISRL, volume 31)

## Abstract

Mysterious origins of the binomial distribution: binomial theorem (binomial coefficients) and combinatorial rules. Pascal’s Arithmetical Triangle, Bernoulli’s Trials. [John Arbuthnott’s contribution]. Acquaintance with the binomial distribution – numerical examples, drawings of the distributions [their properties]. Jacob Bernoulli’s Weak Law of Large Numbers. How to derive Poisson-Bortkiewicz distribution. Famous example from the chronicles of the Prussian Cavalry [Ladislau von Bortkiewicz’s contribution: the law of small numbers]. Negative binomial, a revival of old ideas.

## Keywords

Poisson Distribution Binomial Distribution Negative Binomial Distribution Combinatorial Rule Bernoulli Trial
These keywords were added by machine and not by the authors. This process is experimental and the keywords may be updated as the learning algorithm improves.

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