Abstract: The Poisson-binomial probability density function (pdf) describes the numbers of successes in N independent trials, when the individual probabilities of ...

The record for most goals scored in a World Cup tournament is 172, but that could be broken by the time the group stages wrap ...

EL PAÍS’s statistical model predicts that Spain is the favorite but the 2010 champion only wins one out of every six times on our simulator. Check out our updated odds for each team ...

Abstract: Scientists and engineers often use Poisson's probability distribution to characterize the statistics of rare events whose average number is small. Using it correctly is crucial if we are to ...

Adam Hayes, Ph.D., CFA, is a financial writer with 15+ years Wall Street experience as a derivatives trader. Besides his extensive derivative trading expertise, Adam is an expert in economics and ...

This note is a conversation between the author and my GPT, 'Castor & Pollux'. The author's remarks are indicated by a dash (──) in the main headings. A 'Gamma-Poisson Latent Class Model' is a type of ...

An illustration of a magnifying glass. An illustration of a magnifying glass.

The Poisson distribution is a special case of the binomial distribution that it models discrete events. It expresses the probability of a number of relatively rare events occurring in a fixed time if ...