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1. Poisson distribution: A probability distribution of a random variable $ X $ taking non-negative integer values $ k = 0 , 1 \dots $ with probabilities $$ {\mathsf P} \{ X = k \} = e ^ {- \lambda } \frac{\lambda ^ {k} }{k!} , $$ where $ \lambda > 0 $ is a parameter. The generating function and the ... (Mathematics) [100%] 2024-01-12 [Distribution theory]
2. Poisson distribution: The Poisson distribution is any member of a class of discrete probability distributions named after Simeon Denis Poisson. It is well suited for modeling various physical phenomena. [100%] 2023-06-12
3. Poisson distribution: In probability theory and statistics, the Poisson distribution is a discrete probability distribution that expresses the probability of a given number of events occurring in a fixed interval of time if these events occur with a known constant mean rate ... (Discrete probability distribution) [100%] 2024-04-01 [Poisson distribution] [Conjugate prior distributions]...
4. Poisson distribution: In probability theory and statistics, the Poisson distribution is a discrete probability distribution that expresses the probability of a given number of events occurring in a fixed interval of time if these events occur with a known constant mean rate ... (Discrete probability distribution) [100%] 2024-08-21 [1711 introductions] [Poisson distribution]...
5. Free Poisson distribution: In the mathematics of free probability theory, the free Poisson distribution is a counterpart of the Poisson distribution in conventional probability theory. The free Poisson distribution with jump size \displaystyle{ \alpha }[/math] and rate \displaystyle{ \lambda }[/math] arises in free ... [81%] 2024-01-21 [Poisson distribution] [Functional analysis]...
6. Zero-truncated Poisson distribution: In probability theory, the zero-truncated Poisson (ZTP) distribution is a certain discrete probability distribution whose support is the set of positive integers. This distribution is also known as the conditional Poisson distribution or the positive Poisson distribution. (Conditional Poisson distribution restricted to positive integers) [81%] 2023-12-10 [Discrete distributions] [Poisson distribution]...
7. Free Poisson distribution: In the mathematics of free probability theory, the free Poisson distribution is a counterpart of the Poisson distribution in conventional probability theory. The free Poisson distribution with jump size \displaystyle{ \alpha }[/math] and rate \displaystyle{ \lambda }[/math] arises in free ... [81%] 2022-12-19 [Poisson distribution] [Functional analysis]...
8. Zero-truncated Poisson distribution: In probability theory, the zero-truncated Poisson (ZTP) distribution is a certain discrete probability distribution whose support is the set of positive integers. This distribution is also known as the conditional Poisson distribution or the positive Poisson distribution. (Conditional Poisson distribution restricted to positive integers) [81%] 2022-08-19 [Discrete distributions] [Poisson distribution]...
9. Displaced Poisson distribution: In statistics, the displaced Poisson, also known as the hyper-Poisson distribution, is a generalization of the Poisson distribution. The probability mass function is where \displaystyle{ \lambda\gt 0 }[/math] and r is a new parameter; the Poisson distribution is ... [81%] 2024-09-02 [Discrete distributions]
10. Poisson-Dirichlet distribution: In probability theory, a branch of mathematics Poisson-Dirichlet distributions are probability distributions on the set of nonnegative, non-decreasing sequences with sum 1, depending on two parameters \displaystyle{ \alpha \in [0,1) }[/math] and \displaystyle{ \theta \in (-\alpha, \infty ... (Definition and first properties of the Poisson-Dirichlet distributions) [81%] 2023-08-12 [Probability distributions]
11. Poisson binomial distribution: 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. (Probability distribution) [81%] 2024-02-22 [Discrete distributions] [Factorial and binomial topics]...
12. Conway–Maxwell–Poisson distribution: In probability theory and statistics, the Conway–Maxwell–Poisson (CMP or COM–Poisson) distribution is a discrete probability distribution named after Richard W. Conway, William L. (Probability distribution) [70%] 2023-03-10 [Discrete distributions] [Poisson distribution]...