Poisson binomial distribution

Common card · No. 433725

In probability theory and statistics, the Poisson binomial distribution is the discrete probability distribution of a sum of independent Bernoulli trials that are not necessarily identically distributed. The concept is named after Siméon Denis Poisson. In other words, it is the probability distribution of the number of successes in a collection of n independent yes/no experiments with success probabilities p 1 , p 2 , … , p n {\displaystyle p_{1},p_{2},\dots ,p_{n}} . The ordinary binomial distribution is a special case of the Poisson binomial distribution, when all success probabilities are the same, that is p 1 = p...

Read on Wikipedia