Mathematica 10
Statistical Distribution Examples

Multivariate continuous and discrete parametric distributions.

Discrete univariate parametric distributions

Univariate continuous parametric distributions

An extensive list of properties can be queried for each supported distribution

Some operations, such as sum, min, or max of random variables, converge to only a few limit distributions when repeated. These limit distributions include NormalDistribution, StableDistribution, MinStableDistribution, and MaxStableDistribution

NormalDistribution	StableDistribution	MaxStableDistribution

Simulate Incomes with Dagum Distribution

Model a lifetime of a device by a GompertzMakehamDistribution and compare reliability of systems composed of two such devices put in series or in parallel.

Use Logistic Distribution to Simulate Fractional Change
LogisticDistribution provides a very good fit for fractional price changes from the previous closing price of stocks. Use EstimatedDistribution to find best fit with logistic distribution for the daily fractional price changes of Standard & Poor’s 500 index from January 1, 2000 to January 1, 2009. Then use this distribution to run a simulation.

More various examples

Gauss Normal distribution

Student distribution

Examples of 3D-Plotting

Parametric Plotting

Parametric 3D-Plotting

For more information and examples visit   http://www.wolfram.com

For how to learn and teach math see the video with Conrad Wolfram Talk at
Wolfram Technology Conference 2010:

http://www.computerbasedmath.org/resources/reforming-math-curriculum-with-computers.html