- Extreme Optimization
- Documentation
- Statistics Library User's Guide
- Continuous Distributions
- Continuous Distributions
- The Beta Distribution
- The Cauchy Distribution
- The Chi Square Distribution
- The Erlang Distribution
- The Exponential Distribution
- The F Distribution
- The Gamma Distribution
- The Generalized Pareto Distribution
- The Gumbel Distribution
- The Laplace Distribution
- The Logistic Distribution
- Log-Logistic Distribution
- The Lognormal Distribution
- The Non-central Beta Distribution
- The Non-central Chi Square Distribution
- The Non-central F Distribution
- The Non-central Student t distribution
- The Normal Distribution
- The Pareto Distribution
- The Rayleigh Distribution
- Student's t Distribution
- The Transformed Beta Distribution
- The Transformed Gamma Distribution
- The Triangular Distribution
- The Continuous Uniform Distribution
- The Weibull Distribution

- The Non-central Student t distribution

The Non-central Student t distribution | Extreme Optimization Numerical Libraries for .NET Professional |

The non-central t distribution is a generalization of student's t distribution.

The non-central t distribution has two parameters. The first is the degrees of freedom, commonly denoted by the Greek letter ν. The second is the non-centrality parameter, λ. The probability density function is a complex expression involving sums of hypergeometric functions.

The non-central t distribution is implemented by the NonCentralStudentTDistribution class. It has one constructor with the degrees of freedom as its only argument.

The following constructs a non-central student t distribution with 8 degrees of freedom and non-centrality parameter 12:

The NonCentralStudentTDistribution class has two specific properties. DegreesOfFreedom returns the degrees of freedom of the distribution. NonCentralityParameter returns the non-centrality parameter.

For details of the properties and methods common to all continuous distribution classes, see the topic on continuous distributions..

#### Other Resources

Copyright © 2004-20116,
Extreme Optimization. All rights reserved.

*Extreme Optimization,* *Complexity made simple*, *M#*, and *M
Sharp* are trademarks of ExoAnalytics Inc.

*Microsoft*, *Visual C#, Visual Basic, Visual Studio*, *Visual
Studio.NET*, and the *Optimized for Visual Studio* logo

are
registered trademarks of Microsoft Corporation.