Binomial Distribution

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. © Springer-Verlag Berlin Heidelberg 2013.