In probability theory and statistics, the Poisson binomial distribution is the discrete probability distribution of a sum of independent Bernoulli trials Definitions · Properties · Approximation by Binomial... |
| Poisson binomial distribution |  |
В теории вероятностей и статистике биномиальное распределение Пуассона представляет собой дискретное распределение вероятностей суммы независимых испытаний Бернулли, которые не обязательно распределены одинаково. Концепция названа в честь Симеона... Википедия (Английский язык)
P(X = r) = e−λ λr r! as an approximation to P(X = r) = nCrqn−rpr. 1 + np + n2 2! |
10 дек. 2016 г. · The binomial distribution works when we have a fixed number of events n, each with a constant probability of success p. |
The appropriate Poisson distribution is the one whose mean is the same as that of the binomial distribution; that is, λ=np λ = n p , which in our example is λ= ... |
As a rule of thumb, if n≥100 and np≤10, the Poisson distribution (taking λ=np) can provide a very good approximation to the binomial distribution. |
This is an expository article on the Poisson binomial distribution. We review lesser known results and recent progress on this topic, includ- ing geometry of ... |
The first variable in the binomial formula, n, stands for the number of times the experiment runs. • The second variable, p, represents the probability of one ... |
Consider the binomial probability mass function: (1) b(x;n, p) = n! (n − x)!x! |
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