FDistribution (FsODE)

FsODE

Documentation for 0.0.2

FDistribution Type

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

Generates F-distributed random numbers.

             Return F-distributed (variance ratio distributed) random deviates
             with n numerator degrees of freedom and d denominator degrees of freedom
             according to the density:
            
               p   (x) dx =  ... dx
                n,d
            
             Both paramters n and d must be positive.
            
             Method: The random numbers are directly generated from ratios of
                     ChiSquare variates according to:
            
              F = (ChiSquare(n)/n) / (ChiSquare(d)/d)

Constructors

Constructor	Description
`FDistribution(numf, denomf)` Full Usage: `FDistribution(numf, denomf)` Parameters: numf : `float` denomf : `float`	numf : `float` denomf : `float`

Instance members

Instance member	Description
`this.CDF` Full Usage: `this.CDF` Parameters: x : `float` - The function argument. Returns: `float` The cumulated distribution (probability) of the distribution at value x. Modifiers: abstract	Returns the cumulated distribution function for value x with the distribution parameters numf and denomf. x : `float` The function argument. Returns: `float` The cumulated distribution (probability) of the distribution at value x.
`this.DenomF` Full Usage: `this.DenomF` Returns: `float`	Returns: `float`
`this.NextDouble` Full Usage: `this.NextDouble` Returns: `float` Modifiers: abstract	Returns: `float`
`this.NumF` Full Usage: `this.NumF` Returns: `float`	Returns: `float`
`this.PDF` Full Usage: `this.PDF` Parameters: x : `float` - The function argument. Returns: `float` The probability density of the distribution at value x. Modifiers: abstract	Returns the probability density function for value x with the distribution parameters p and q. x : `float` The function argument. Returns: `float` The probability density of the distribution at value x.
`this.Quantile` Full Usage: `this.Quantile` Parameters: alpha : `float` - Probability (0..1). Returns: `float` The quantile of the F-Distribution. Modifiers: abstract	Quantile of the F-distribution. alpha : `float` Probability (0..1). Returns: `float` The quantile of the F-Distribution.

Static members

Static member	Description
`FDistribution.CDF(x, numf, denomf)` Full Usage: `FDistribution.CDF(x, numf, denomf)` Parameters: x : `float` - The function argument. numf : `float` - First parameter of the distribution. denomf : `float` - Second paramenter of the distribution. Returns: `float` The cumulated distribution (probability) of the distribution at value x.	Returns the cumulated distribution function for value x with the distribution parameters numf and denomf. x : `float` The function argument. numf : `float` First parameter of the distribution. denomf : `float` Second paramenter of the distribution. Returns: `float` The cumulated distribution (probability) of the distribution at value x.
`FDistribution.PDF(x, p, q)` Full Usage: `FDistribution.PDF(x, p, q)` Parameters: x : `float` - The function argument. p : `float` - First parameter of the distribution. q : `float` - Second paramenter of the distribution. Returns: `float` The probability density of the distribution at value x.	Returns the probability density function for value x with the distribution parameters p and q. x : `float` The function argument. p : `float` First parameter of the distribution. q : `float` Second paramenter of the distribution. Returns: `float` The probability density of the distribution at value x.
`FDistribution.Quantile(alpha, p, q)` Full Usage: `FDistribution.Quantile(alpha, p, q)` Parameters: alpha : `float` - Probability (0..1). p : `float` - First parameter of the distribution. q : `float` - Second parameter of the distribution. Returns: `float` The quantile of the F-Distribution.	Quantile of the F-distribution. alpha : `float` Probability (0..1). p : `float` First parameter of the distribution. q : `float` Second parameter of the distribution. Returns: `float` The quantile of the F-Distribution.