NExpectation[expr, x \[Distributed] dist] gives the numerical expectation of expr under the assumption that x follows the probability distribution dist.NExpectation[expr, ...
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
(Built-in Mathematica Symbol) 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 ...