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...

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...

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

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...

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

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

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

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

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

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

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

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...

population of players of various types, the size of which follow a Poisson distribution. This can occur when voters are not sure what the relative turnout...

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

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...

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...

The Wigner quasiprobability distribution (also called the Wigner function or the Wigner–Ville distribution, after Eugene Wigner and Jean-André Ville) is...

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

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

of Construction via Compound Poisson Random Variables, and Exchangeability Properties of the resulting Gamma Distribution SciencesPo: R package that contains...

(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...

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

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

A mixed model, mixed-effects model or mixed error-component model is a statistical model containing both fixed effects and random effects. These models...

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

statistics, Student's t distribution (or simply the t distribution) t ν {\displaystyle t_{\nu }} is a continuous probability distribution that generalizes the...

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...