StudentsTDistribution (FsODE)

FsODE

Documentation for 0.0.2

StudentsTDistribution Type

Namespace: Altaxo.Calc.Probability
Assembly: AltaxoCore.Redist.dll
Base Type: ContinuousDistribution

Provides generation of t-distributed random numbers.

The implementation of the StudentsTDistribution type bases upon information presented on Wikipedia - Student's t-distribution and Xycoon - Student t Distribution.

Constructors

Constructor Description


                
                  
                    
                      StudentsTDistribution()

Full Usage: StudentsTDistribution()

Initializes a new instance of the StudentsTDistribution class, using a StandardGenerator as underlying random number generator.


                
                  
                    
                      StudentsTDistribution(generator)

Full Usage: StudentsTDistribution(generator)

Parameters:

generator : Generator

Initializes a new instance of the StudentsTDistribution class, using a StandardGenerator as underlying random number generator.

generator : Generator


                
                  
                    
                      StudentsTDistribution(nu)

Full Usage: StudentsTDistribution(nu)

Parameters:

nu : float

nu : float


                
                  
                    
                      StudentsTDistribution(nu, generator)

Full Usage: StudentsTDistribution(nu, generator)

Parameters:

nu : float - Parameter of the distribution.

generator : Generator - A Generator object.

Initializes a new instance of the StudentsTDistribution class, using the specified Generator as underlying random number generator.

nu : float: Parameter of the distribution.
generator : Generator: A Generator object.

ArgumentNullException

generator is NULL ( in Visual Basic).

Instance members

Instance member	Description
`this.CDF` Full Usage: `this.CDF` Parameters: x : `float` Returns: `float` Modifiers: abstract	x : `float` Returns: `float`
`this.Initialize` Full Usage: `this.Initialize` Parameters: nu : `float`	Updates the helper variables that store intermediate results for generation of t-distributed random numbers. nu : `float`
`this.IsValidNu` Full Usage: `this.IsValidNu` Parameters: value : `float` - The value to check. Returns: `bool` if value is greater than 0; otherwise, .	Determines whether the specified value is valid for parameter StudentsTDistribution.Nu. value : `float` The value to check. Returns: `bool` if value is greater than 0; otherwise, .
`this.Maximum` Full Usage: `this.Maximum` Returns: `float` Modifiers: abstract	Gets the maximum possible value of t-distributed random numbers. Returns: `float`
`this.Mean` Full Usage: `this.Mean` Returns: `float` Modifiers: abstract	Gets the mean value of t-distributed random numbers. Returns: `float`
`this.Median` Full Usage: `this.Median` Returns: `float` Modifiers: abstract	Gets the median of t-distributed random numbers. Returns: `float`
`this.Minimum` Full Usage: `this.Minimum` Returns: `float` Modifiers: abstract	Gets the minimum possible value of t-distributed random numbers. Returns: `float`
`this.Mode` Full Usage: `this.Mode` Returns: `float[]` Modifiers: abstract	Gets the mode of t-distributed random numbers. Returns: `float[]`
`this.NextDouble` Full Usage: `this.NextDouble` Returns: `float` A t-distributed double-precision floating point number. Modifiers: abstract	Returns a t-distributed floating point random number. Returns: `float` A t-distributed double-precision floating point number.
`this.Nu` Full Usage: `this.Nu`	Gets or sets the parameter nu which is used for generation of t-distributed random numbers. Call StudentsTDistribution.IsValidNu to determine whether a value is valid and therefor assignable.
`this.PDF` Full Usage: `this.PDF` Parameters: x : `float` Returns: `float` Modifiers: abstract	x : `float` Returns: `float`
`this.Quantile` Full Usage: `this.Quantile` Parameters: p : `float` Returns: `float` Modifiers: abstract	p : `float` Returns: `float`
`this.Variance` Full Usage: `this.Variance` Returns: `float` Modifiers: abstract	Gets the variance of t-distributed random numbers. Returns: `float`

Static members

Static member	Description
`StudentsTDistribution.CDF(x, n)` Full Usage: `StudentsTDistribution.CDF(x, n)` Parameters: x : `float` n : `float` Returns: `float`	x : `float` n : `float` Returns: `float`
`StudentsTDistribution.PDF(x, n)` Full Usage: `StudentsTDistribution.PDF(x, n)` Parameters: x : `float` n : `float` Returns: `float`	x : `float` n : `float` Returns: `float`
`StudentsTDistribution.Quantile(alpha, n)` Full Usage: `StudentsTDistribution.Quantile(alpha, n)` Parameters: alpha : `float` n : `float` Returns: `float`	alpha : `float` n : `float` Returns: `float`