TransformedDistribution[expr, x \[Distributed] dist] represents the transformed distribution of expr where the random variable x follows the distribution dist. ...

Just as normal and stable distributions are natural limit distributions when considering linear combinations such as means of independent variables, extreme value ...

Distributed[x, dist] or x \[Distributed] dist asserts that the random variable x is distributed according to the probability distribution dist. Distributed[{x_1, x_2, ...}, ...

Derived distributions are modifications to existing distributions. There is a variety of ways in which you can arrive at modified distributions, including functions of random ...

The fundamental type of distribution in reliability analysis is a lifetime distribution. This models the lifetime of a component or a system. Many lifetime distributions are ...

CompoundRenewalProcess[rdist, jdist] represents a compound renewal process with renewal-time distribution rdist and jump size distribution jdist.

ChiSquareDistribution[\[Nu]] represents a \[Chi]^2 distribution with \[Nu] degrees of freedom.

ExponentialDistribution[\[Lambda]] represents an exponential distribution with scale inversely proportional to parameter \[Lambda].

NormalDistribution[\[Mu], \[Sigma]] represents a normal (Gaussian) distribution with mean \[Mu] and standard deviation \[Sigma]. NormalDistribution[] represents a normal ...

Probability and statistics are used to model uncertainty from a variety of sources, such as incomplete or simplified models. Yet you can build useful models for aggregate or ...