DataDistribution[ddist, ...] represents a probability distribution of type ddist, estimated from a set of data.

KernelMixtureDistribution[{x_1, x_2, ...}] represents a kernel mixture distribution based on the data values x_i.KernelMixtureDistribution[{{x_1, y_1, ...}, {x_2, y_2, ...}, ...

Statistical distributions have applications in many fields, including the biological, social, and physical sciences. Mathematica represents statistical distributions as ...

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, ...}, ...

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

EmpiricalDistribution[{x_1, x_2, ...}] represents an empirical distribution based on the data values x_i.EmpiricalDistribution[{{x_1, y_1, ...}, {x_2, y_2, ...}, ...}] ...

EstimatedDistribution[data, dist] estimates the parametric distribution dist from data.EstimatedDistribution[data, dist, {{p, p_0}, {q, q_0}, ...}] estimates the parameters ...

JohnsonDistribution["SB", \[Gamma], \[Delta], \[Mu], \[Sigma]] represents a bounded Johnson distribution with shape parameters \[Gamma], \[Delta], location parameter \[Mu], ...

NExpectation[expr, x \[Distributed] dist] gives the numerical expectation of expr under the assumption that x follows the probability distribution dist.NExpectation[expr, ...

ExponentialPowerDistribution[\[Kappa], \[Mu], \[Sigma]] represents an exponential power distribution with shape parameter \[Kappa], location parameter \[Mu], and scale ...