PoissonDistribution (FsODE)

FsODE

Documentation for 0.0.2

PoissonDistribution Type

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

Generates Poisson distributed random numbers.

             Returns a Poisson distributed deviate (integer returned in a double)
             from a distribution of mean m.
             The Poisson distribution gives the probability of a certain integer
             number m of unit rate Poisson random events occurring in a given
             interval of time x.
                                               j  -x
                          j+eps               x  e
                  integral       p (m) dm  = -------
                          j-eps   x            j !
            
             References: The method follows the outlines of:
             W. H. Press, B. P. Flannery, S. A. Teukolsky, W. T. Vetterling,
             Numerical Recipies in C, Cambridge Univ. Press, 1988.

Constructors

Constructor	Description
`PoissonDistribution()` Full Usage: `PoissonDistribution()`
`PoissonDistribution(ran)` Full Usage: `PoissonDistribution(ran)` Parameters: ran : `Generator`	ran : `Generator`
`PoissonDistribution(mean)` Full Usage: `PoissonDistribution(mean)` Parameters: mean : `float`	mean : `float`
`PoissonDistribution(mean, ran)` Full Usage: `PoissonDistribution(mean, ran)` Parameters: mean : `float` ran : `Generator`	mean : `float` ran : `Generator`

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: mean : `float`	mean : `float`
`this.IsValidMu` Full Usage: `this.IsValidMu` Parameters: mu : `float` Returns: `bool`	mu : `float` Returns: `bool`
`this.Maximum` Full Usage: `this.Maximum` Returns: `float` Modifiers: abstract	Gets the maximum possible value of poisson distributed random numbers. Returns: `float`
`this.Mean` Full Usage: `this.Mean` Returns: `float` Modifiers: abstract	Gets the mean value of poisson distributed random numbers. Returns: `float`
`this.Median` Full Usage: `this.Median` Returns: `float` Modifiers: abstract	Gets the median of poisson distributed random numbers. Returns: `float`
`this.Minimum` Full Usage: `this.Minimum` Returns: `float` Modifiers: abstract	Gets the minimum possible value of poisson distributed random numbers. Returns: `float`
`this.Mode` Full Usage: `this.Mode` Returns: `float[]` Modifiers: abstract	Gets the mode of poisson 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: x : `float` Returns: `float` Modifiers: abstract	x : `float` Returns: `float`
`this.Variance` Full Usage: `this.Variance` Returns: `float` Modifiers: abstract	Gets the variance of poisson distributed random numbers. Returns: `float`

Static members

Static member Description

Static member	Description
`PoissonDistribution.CDF(x, m)` Full Usage: `PoissonDistribution.CDF(x, m)` Parameters: x : `float` m : `float` Returns: `float`	x : `float` m : `float` Returns: `float`
`PoissonDistribution.PDF(x, m)` Full Usage: `PoissonDistribution.PDF(x, m)` Parameters: x : `float` m : `float` Returns: `float`	x : `float` m : `float` Returns: `float`


                
                  
                    
                      PoissonDistribution.CDF(x, m)

Full Usage: PoissonDistribution.CDF(x, m)

Parameters:

x : float

m : float

Returns: float

x : float
m : float

Returns: float


                
                  
                    
                      PoissonDistribution.PDF(x, m)

Full Usage: PoissonDistribution.PDF(x, m)

Parameters:

x : float

m : float

Returns: float

x : float
m : float

Returns: float