ChiSquareDistribution (FsODE)

FsODE

Documentation for 0.0.2

ChiSquareDistribution Type

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

Generates central chi-square distributed random numbers.

             Generates random deviates from a central chi-square distribution with
             f degrees of freedom. f must be positive.
             The density of this distribution is:
            
            
                            -f/2   f/2-1  -x/2
                           2      x      e
              p (x) dx =  --------------------- dx  for x > 0
               f               Gamma(f/2)
            
                       =  0                         otherwise
            
             The calculation uses the relation between chi-square and gamma distribution:
            
              ChiSquare(f) = GammaDistribution(f/2,1/2)
            
             References:
                K. Behnen, G. Neuhaus, "Grundkurs Stochastik", Teubner Studienbuecher
                Mathematik, Teubner Verlag, Stuttgart, 1984.

Constructors

Constructor	Description
`ChiSquareDistribution()` Full Usage: `ChiSquareDistribution()`
`ChiSquareDistribution(gen)` Full Usage: `ChiSquareDistribution(gen)` Parameters: gen : `Generator`	gen : `Generator`
`ChiSquareDistribution(f)` Full Usage: `ChiSquareDistribution(f)` Parameters: f : `float`	f : `float`
`ChiSquareDistribution(f, ran)` Full Usage: `ChiSquareDistribution(f, ran)` Parameters: f : `float` ran : `Generator`	f : `float` ran : `Generator`

Instance members

Instance member	Description
`this.Alpha` Full Usage: `this.Alpha`	Gets or sets the parameter alpha which is used for generation of chi-square distributed random numbers. Call ChiSquareDistribution.IsValidAlpha to determine whether a value is valid and therefor assignable.
`this.CDF` Full Usage: `this.CDF` Parameters: x : `float` Returns: `float` Modifiers: abstract	x : `float` Returns: `float`
`this.Freedom` Full Usage: `this.Freedom` Returns: `float`	Returns: `float`
`this.Initialize` Full Usage: `this.Initialize` Parameters: F : `float`	F : `float`
`this.IsValidAlpha` Full Usage: `this.IsValidAlpha` 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 ChiSquareDistribution.Alpha. 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 chi-square distributed random numbers. Returns: `float`
`this.Mean` Full Usage: `this.Mean` Returns: `float` Modifiers: abstract	Gets the mean value of chi-square distributed random numbers. Returns: `float`
`this.Median` Full Usage: `this.Median` Returns: `float` Modifiers: abstract	Gets the median of chi-square distributed random numbers. Returns: `float`
`this.Minimum` Full Usage: `this.Minimum` Returns: `float` Modifiers: abstract	Gets the minimum possible value of chi-square distributed random numbers. Returns: `float`
`this.Mode` Full Usage: `this.Mode` Returns: `float[]` Modifiers: abstract	Gets the mode of chi-square distributed random numbers. Returns: `float[]`
`this.NextDouble` Full Usage: `this.NextDouble` Returns: `float` Modifiers: abstract	Returns: `float`
`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 chi-square distributed random numbers. Returns: `float`

Static members

Static member	Description
`ChiSquareDistribution.CDF(x, F)` Full Usage: `ChiSquareDistribution.CDF(x, F)` Parameters: x : `float` F : `float` Returns: `float`	x : `float` F : `float` Returns: `float`
`ChiSquareDistribution.PDF(x, F)` Full Usage: `ChiSquareDistribution.PDF(x, F)` Parameters: x : `float` F : `float` Returns: `float`	x : `float` F : `float` Returns: `float`
`ChiSquareDistribution.Quantile(p, F)` Full Usage: `ChiSquareDistribution.Quantile(p, F)` Parameters: p : `float` F : `float` Returns: `float`	p : `float` F : `float` Returns: `float`