BinomialDistribution (FsODE)

FsODE

Documentation for 0.0.2

BinomialDistribution Type

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

Generates Binomial distributed random numbers.

             Returns a binomial distributed deviate (integer returned in a double)
             according to the distribution:
            
                          j+eps                 / n \    j      n-j
                  integral       p   (m) dm  = |     |  q  (1-q)
                          j-eps   n,q           \ j /
            
             References:
             D. E. Knuth: The Art of Computer Programming, Vol. 2, Seminumerical
             Algorithms, pp. 120, 2nd edition, 1981.
                                         //
             W. H. Press, B. P. Flannery, S. A. Teukolsky, W. T. Vetterling,
             Numerical Recipies in C, Cambridge Univ. Press, 1988.

Constructors

Constructor	Description
`BinomialDistribution()` Full Usage: `BinomialDistribution()`
`BinomialDistribution(generator)` Full Usage: `BinomialDistribution(generator)` Parameters: generator : `Generator`	generator : `Generator`
`BinomialDistribution(num, prob)` Full Usage: `BinomialDistribution(num, prob)` Parameters: num : `int` prob : `float`	num : `int` prob : `float`
`BinomialDistribution(num, prob, ran)` Full Usage: `BinomialDistribution(num, prob, ran)` Parameters: num : `int` prob : `float` ran : `Generator`	num : `int` prob : `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.Maximum` Full Usage: `this.Maximum` Returns: `float` Modifiers: abstract	Gets the maximum possible value of binomial distributed random numbers. Returns: `float`
`this.Mean` Full Usage: `this.Mean` Returns: `float` Modifiers: abstract	Gets the mean value of binomial distributed random numbers. Returns: `float`
`this.Median` Full Usage: `this.Median` Returns: `float` Modifiers: abstract	Gets the median of binomial distributed random numbers. Returns: `float`
`this.Minimum` Full Usage: `this.Minimum` Returns: `float` Modifiers: abstract	Gets the minimum possible value of binomial distributed random numbers. Returns: `float`
`this.Mode` Full Usage: `this.Mode` Returns: `float[]` Modifiers: abstract	Gets the mode of binomial distributed random numbers. Returns: `float[]`
`this.NextDouble` Full Usage: `this.NextDouble` Returns: `float` Modifiers: abstract	Returns: `float`
`this.Number` Full Usage: `this.Number`	Gets the parameter 'maximum value' of this distribution.
`this.PDF` Full Usage: `this.PDF` Parameters: x : `float` Returns: `float` Modifiers: abstract	x : `float` Returns: `float`
`this.Probability` Full Usage: `this.Probability`	Gets the parameter 'probability' of this distribution.
`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 binomial distributed random numbers. Returns: `float`

Static members

Static member Description

Static member	Description
`BinomialDistribution.CDF(x, p, n)` Full Usage: `BinomialDistribution.CDF(x, p, n)` Parameters: x : `float` p : `float` n : `int` Returns: `float`	x : `float` p : `float` n : `int` Returns: `float`
`BinomialDistribution.PDF(x, p, n)` Full Usage: `BinomialDistribution.PDF(x, p, n)` Parameters: x : `float` p : `float` n : `int` Returns: `float`	x : `float` p : `float` n : `int` Returns: `float`


                
                  
                    
                      BinomialDistribution.CDF(x, p, n)

Full Usage: BinomialDistribution.CDF(x, p, n)

Parameters:

x : float

p : float

n : int

Returns: float

x : float
p : float
n : int

Returns: float


                
                  
                    
                      BinomialDistribution.PDF(x, p, n)

Full Usage: BinomialDistribution.PDF(x, p, n)

Parameters:

x : float

p : float

n : int

Returns: float

x : float
p : float
n : int

Returns: float