A mixed Poisson distribution is a univariate discrete probability distribution in stochastics. It results from assuming that the conditional distribution...

probability theory and statistics, the Poisson distribution (/ˈpwɑːsɒn/) is a discrete probability distribution that expresses the probability of a given...

Hermite distribution The logarithmic (series) distribution The mixed Poisson distribution The negative binomial distribution or Pascal distribution, a generalization...

has a Poisson distribution, and assumes the logarithm of its expected value can be modeled by a linear combination of unknown parameters. A Poisson regression...

probability distributions where the parametrized distribution F {\displaystyle F} is the Poisson distribution is also called mixed Poisson distribution. Mixture...

statistics and related fields, a Poisson point process (also known as: Poisson random measure, Poisson random point field and Poisson point field) is a type of...

A mixed binomial process is a special point process in probability theory. They naturally arise from restrictions of (mixed) Poisson processes bounded...

hypergeometric distribution Poisson distribution, for the number of occurrences of a Poisson-type event in a given period of time Exponential distribution, for...

Poisson distribution Poisson binomial distribution Poisson clumping Super-Poissonian distribution Poisson process Compound Poisson process Mixed Poisson process...

distribution or a Poisson distribution – or for that matter, the λ of the gamma distribution itself. The closely related inverse-gamma distribution is...

distribution in an exponential family, a large class of probability distributions that includes the normal, binomial, Poisson and gamma distributions...

events in a YLT is the Poisson distribution with constant parameters. An alternative frequency model is the mixed Poisson distribution, which allows for the...

Exponential distribution Gamma distribution Geometric distribution Hypoexponential distribution Lévy distribution Poisson distribution Stable distribution Mixture...

the distribution of the counts is often represented using a Poisson distribution or a negative binomial distribution. Hilbe notes that "Poisson regression...

mixed (see Section 2.2). In the two-sample case (see Section 3), the distribution considered under the null hypothesis is a continuous distribution but...

unimodal distribution (a distribution with a single peak), negative skew commonly indicates that the tail is on the left side of the distribution, and positive...

only distributions in the canonical non-negative power series family of distributions to possess this property and include the Poisson distribution, negative...

(infinitesimal version of Cauchy distribution) explicitly appears in an 1827 text of Augustin-Louis Cauchy. Siméon Denis Poisson considered the issue in connection...

interpretation. For example, if the distribution of y ∣ u {\displaystyle y\mid u} is Poisson with certain mean, the distribution of u {\displaystyle u} is Gamma...

exponential distribution. Alpha-skew-normal distribution. Bimodal skew-symmetric normal distribution. A mixture of Conway-Maxwell-Poisson distributions has been...

distinction is important for discrete distributions. The proper use of tables of the binomial and Poisson distributions depends upon this convention. Moreover...

The uniqueness theorem for Poisson's equation states that, for a large class of boundary conditions, the equation may have many solutions, but the gradient...

Normal distribution Tweedie convergence theorem – a theorem that can be considered to bridge between the central limit theorem and the Poisson convergence...

generalized linear mixed model models. The Python Statsmodels package supports binomial and poisson implementations. The Julia package MixedModels.jl provides...

process, also known as a doubly stochastic Poisson process is a point process which is a generalization of a Poisson process where the intensity that varies...

In statistics, a sampling distribution or finite-sample distribution is the probability distribution of a given random-sample-based statistic. For an arbitrarily...

statistics, the multivariate normal distribution, multivariate Gaussian distribution, or joint normal distribution is a generalization of the one-dimensional...

(conditional on θ i {\displaystyle \theta _{i}} ) is specified by a Poisson distribution, p ( y i ∣ θ i ) = θ i y i e − θ i y i ! {\displaystyle p(y_{i}\mid...

statistics, the probability distribution of a mixed random variable consists of both discrete and continuous components. A mixed random variable does not...

scale—which are better described using a skewed distribution such as the log-normal distribution or Poisson distribution (although GLMs are not used for log-normal...