TukeyLambdaDistribution (Built-in Mathematica Symbol)

TukeyLambdaDistribution[\[Lambda]] represents Tukey's lambda distribution with shape parameter \[Lambda].TukeyLambdaDistribution[\[Lambda], \[Mu], \[Sigma]] represents ...

MixtureDistribution (Built-in Mathematica Symbol)

MixtureDistribution[{w_1, ..., w_n}, {dist_1, ..., dist_n}] represents a mixture distribution whose CDF is given as a sum of the CDFs of the component distributions dist_i, ...

CentralMomentGeneratingFunction (Built-in Mathematica Symbol)

CentralMomentGeneratingFunction[dist, t] gives the central moment generating function for the symbolic distribution dist as a function of the variable t. ...

DiscreteConvolve (Built-in Mathematica Symbol)

DiscreteConvolve[f, g, n, m] gives the convolution with respect to n of the expressions f and g. DiscreteConvolve[f, g, {n_1, n_2, ...}, {m_1, m_2, ...}] gives the ...

Expectation (Built-in Mathematica Symbol)

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

JacobiDS (Built-in Mathematica Symbol)

JacobiDS[u, m] gives the Jacobi elliptic function ds(u | m).

JacobiSD (Built-in Mathematica Symbol)

JacobiSD[u, m] gives the Jacobi elliptic function sd(u | m).

WignerSemicircleDistribution (Built-in Mathematica Symbol)

WignerSemicircleDistribution[r] represents a Wigner semicircle distribution with radius r centered at the origin.WignerSemicircleDistribution[a, r] represents a Wigner ...

Integrate (Built-in Mathematica Symbol)

Integrate[f, x] gives the indefinite integral \[Integral]f d x. Integrate[f, {x, x_min, x_max}] gives the definite integral \[Integral]_x_min^x_max\ f\ d x. Integrate[f, {x, ...

ArcSinDistribution (Built-in Mathematica Symbol)

ArcSinDistribution[{x min, x max}] represents the arc sine distribution supported between x min and x max.