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...

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

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...

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

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...

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...

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

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

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

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

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

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...

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

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

between events, or where the underlying distribution is assumed to be the exponential distribution or Poisson distribution. In this context, the observed dataset...

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

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...

mild-conditions are satisfied (e.g. for normal, exponential, Poisson and binomial distributions), standardized least-squares estimates and maximum-likelihood...

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

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

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

distribution. In the case when n i = 0 {\displaystyle n_{i}=0} for certain i {\displaystyle i} , pseudocounts can be added. A frequency distribution shows...

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

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...