GammaDistribution (FsODE)

FsODE

Documentation for 0.0.2

GammaDistribution Type

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

Generates Gamma distributed random numbers.

             Return Gamma distributed random deviates according to:
            
                                  a-1  -bx
                            b (bx)    e
              p   (x) dx = ---------------- dx   for x > 0
               a,b             Gamma(a)
            
                         =  0                    otherwise
                                         //
             The arguments must satisfy the conditions:
             a > 0   (positive)
             b != 0  (non-zero)
            
             References:
            
             For parameter a >= 1 corresponds to algorithm GD in:
             J. H. Ahrens and U. Dieter, Generating Gamma Variates by a
             Modified Rejection Technique, Comm. ACM, 25, 1, 47-54 (1982).
             For parameter 0 < a < 1 corresponds to algorithm GS in:
             J. H. Ahrens and U. Dieter, Computer Methods for Sampling
             from Gamma, Beta, Poisson and Binomial Distributions,
             Computing, 12, 223-246 (1974).

Constructors

Constructor	Description
`GammaDistribution()` Full Usage: `GammaDistribution()`
`GammaDistribution(gen)` Full Usage: `GammaDistribution(gen)` Parameters: gen : `Generator`	gen : `Generator`
`GammaDistribution(alpha, theta)` Full Usage: `GammaDistribution(alpha, theta)` Parameters: alpha : `float` theta : `float`	alpha : `float` theta : `float`
`GammaDistribution(alpha, theta, ran)` Full Usage: `GammaDistribution(alpha, theta, ran)` Parameters: alpha : `float` theta : `float` ran : `Generator`	alpha : `float` theta : `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 gamma distributed random numbers. Call GammaDistribution.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.Initialize` Full Usage: `this.Initialize` Parameters: alpha : `float` theta : `float`	alpha : `float` theta : `float`
`this.IsValidAlpha` Full Usage: `this.IsValidAlpha` Parameters: value : `float` - The value to check. Returns: `bool` if value is greater than 0.0; otherwise, .	Determines whether the specified value is valid for parameter GammaDistribution.Alpha. value : `float` The value to check. Returns: `bool` if value is greater than 0.0; otherwise, .
`this.IsValidTheta` Full Usage: `this.IsValidTheta` Parameters: value : `float` - The value to check. Returns: `bool` if value is greater than 0.0; otherwise, .	Determines whether the specified value is valid for parameter GammaDistribution.Theta. value : `float` The value to check. Returns: `bool` if value is greater than 0.0; otherwise, .
`this.Location` Full Usage: `this.Location`
`this.Maximum` Full Usage: `this.Maximum` Returns: `float` Modifiers: abstract	Gets the maximum possible value of gamma distributed random numbers. Returns: `float`
`this.Mean` Full Usage: `this.Mean` Returns: `float` Modifiers: abstract	Gets the mean value of gamma distributed random numbers. Returns: `float`
`this.Median` Full Usage: `this.Median` Returns: `float` Modifiers: abstract	Gets the median of gamma distributed random numbers. Returns: `float`
`this.Minimum` Full Usage: `this.Minimum` Returns: `float` Modifiers: abstract	Gets the minimum possible value of gamma distributed random numbers. Returns: `float`
`this.Mode` Full Usage: `this.Mode` Returns: `float[]` Modifiers: abstract	Gets the mode of gamma distributed random numbers. Returns: `float[]`
`this.NextDouble` Full Usage: `this.NextDouble` Returns: `float` Modifiers: abstract	Returns: `float`
`this.Order` Full Usage: `this.Order` Returns: `float`	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.Theta` Full Usage: `this.Theta`	Gets or sets the parameter theta which is used for generation of gamma distributed random numbers. Call GammaDistribution.IsValidTheta to determine whether a value is valid and therefor assignable.
`this.Variance` Full Usage: `this.Variance` Returns: `float` Modifiers: abstract	Gets the variance of gamma distributed random numbers. Returns: `float`

Static members

Static member	Description
`GammaDistribution.CDF(x, A, B)` Full Usage: `GammaDistribution.CDF(x, A, B)` Parameters: x : `float` A : `float` B : `float` Returns: `float`	x : `float` A : `float` B : `float` Returns: `float`
`GammaDistribution.PDF(x, A, B)` Full Usage: `GammaDistribution.PDF(x, A, B)` Parameters: x : `float` A : `float` B : `float` Returns: `float`	x : `float` A : `float` B : `float` Returns: `float`
`GammaDistribution.Quantile(x, A, B)` Full Usage: `GammaDistribution.Quantile(x, A, B)` Parameters: x : `float` A : `float` B : `float` Returns: `float`	x : `float` A : `float` B : `float` Returns: `float`