ErlangDistribution (FsODE)

FsODE

Documentation for 0.0.2

ErlangDistribution Type

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

Generates Erlang distributed random numbers.

            
             Return Erlang 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 Erlang distribution is a special case of the Gamma distribution
             with integer valued order a.
            
             References:
             see references in:
             W. H. Press, B. P. Flannery, S. A. Teukolsky, W. T. Vetterling,
             Numerical Recipies in C, Cambridge Univ. Press, 1988.

Constructors

Constructor	Description
`ErlangDistribution()` Full Usage: `ErlangDistribution()`
`ErlangDistribution(gen)` Full Usage: `ErlangDistribution(gen)` Parameters: gen : `Generator`	gen : `Generator`
`ErlangDistribution(order, lambda)` Full Usage: `ErlangDistribution(order, lambda)` Parameters: order : `int` lambda : `float`	order : `int` lambda : `float`
`ErlangDistribution(order, lambda, ran)` Full Usage: `ErlangDistribution(order, lambda, ran)` Parameters: order : `int` lambda : `float` ran : `Generator`	order : `int` lambda : `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 erlang distributed random numbers. Call ErlangDistribution.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: order : `int` lambda : `float`	order : `int` lambda : `float`
`this.IsValidAlpha` Full Usage: `this.IsValidAlpha` Parameters: value : `int` - The value to check. Returns: `bool` if value is greater than 0; otherwise, .	Determines whether the specified value is valid for parameter ErlangDistribution.Alpha. value : `int` The value to check. Returns: `bool` if value is greater than 0; otherwise, .
`this.IsValidLambda` Full Usage: `this.IsValidLambda` 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 ErlangDistribution.Lambda. value : `float` The value to check. Returns: `bool` if value is greater than 0.0; otherwise, .
`this.Lambda` Full Usage: `this.Lambda`	Gets or sets the parameter lambda which is used for generation of erlang distributed random numbers. Call ErlangDistribution.IsValidLambda to determine whether a value is valid and therefor assignable.
`this.Location` Full Usage: `this.Location` Returns: `float`	Returns: `float`
`this.Maximum` Full Usage: `this.Maximum` Returns: `float` Modifiers: abstract	Gets the maximum possible value of erlang distributed random numbers. Returns: `float`
`this.Mean` Full Usage: `this.Mean` Returns: `float` Modifiers: abstract	Gets the mean value of erlang distributed random numbers. Returns: `float`
`this.Median` Full Usage: `this.Median` Returns: `float` Modifiers: abstract	Gets the median of erlang distributed random numbers. Returns: `float`
`this.Minimum` Full Usage: `this.Minimum` Returns: `float` Modifiers: abstract	Gets the minimum possible value of erlang distributed random numbers. Returns: `float`
`this.Mode` Full Usage: `this.Mode` Returns: `float[]` Modifiers: abstract	Gets the mode of erlang distributed random numbers. Returns: `float[]`
`this.NextDouble` Full Usage: `this.NextDouble` Returns: `float` Modifiers: abstract	Returns: `float`
`this.Order` Full Usage: `this.Order` Returns: `int`	Returns: `int`
`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 erlang distributed random numbers. Returns: `float`

Static members

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