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

In probability theory and statistics, the Poisson distribution is a discrete probability distribution that expresses the probability of a given number...

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...

random points form a Poisson process, then the number of points in a region of finite size is a random variable with a Poisson distribution. The process and...

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

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

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

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

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

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

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

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

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

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

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...

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...

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...

include binary logistic regression for binary or dichotomous outcomes, Poisson regression for count outcomes, and linear regression for continuous, normally...

would otherwise be modelled using the Poisson or binomial distribution. Instead of specifying a probability distribution for the data, only a relationship...

elliptical distribution is any member of a broad family of probability distributions that generalize the multivariate normal distribution. Intuitively...

statistics, the skew normal distribution is a continuous probability distribution that generalises the normal distribution to allow for non-zero skewness...

the number of extreme moves of a given magnitude or greater by a Poisson distribution, but simply, if one has multiple 4 standard deviation moves in a...

joint probability distribution is the corresponding probability distribution on all possible pairs of outputs. The joint distribution can just as well...

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