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Conditioned[expr, cond] or expr \[Conditioned] cond represents expr conditioned by the predicate cond.

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, ...}, ...

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 ...

Mathematica 8 adds major new areas, including probability and statistics, graphs and networks, computational finance, control systems, wavelet analysis, and group theory. ...

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

Moment[list, r] gives the r\[Null]^th sample moment of the elements in list.Moment[dist, r] gives the r\[Null]^th moment of the symbolic distribution dist.Moment[..., {r_1, ...

FactorialMoment[list, r] gives the r\[Null]^th moment of the elements in the list.FactorialMoment[dist, r] gives the r\[Null]^th moment of the symbolic distribution ...

CentralMoment[list, r] gives the r\[Null]^th central moment of the elements in list with respect to their mean.CentralMoment[dist, r] gives the r\[Null]^th central moment of ...