GeometricDistribution (FsODE)

FsODE

Documentation for 0.0.2

GeometricDistribution Type

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

Provides generation of geometric distributed random numbers. This is variant A, which denotes the probability that with a number of n trials one has the first success (so the lowest value is 1).

The geometric distribution generates only discrete numbers.
The implementation of the GeometricDistribution type bases upon information presented on Wikipedia - Geometric distribution and the implementation in the Communication Networks Class Library.
Please note that the geometric distribution provided by Mathematica 5.1 is variant_B: the probability that n failed trials occur before first success (so the lowest value is 0 there).

Constructors

Constructor Description


                
                  
                    
                      GeometricDistribution()

Full Usage: GeometricDistribution()

Initializes a new instance of the GeometricDistribution class, using a StandardGenerator as underlying random number generator.


                
                  
                    
                      GeometricDistribution(generator)

Full Usage: GeometricDistribution(generator)

Parameters:

generator : Generator - A Generator object.

Initializes a new instance of the GeometricDistribution class, using the specified Generator as underlying random number generator.

generator : Generator: A Generator object.

ArgumentNullException

generator is NULL ( in Visual Basic).


                
                  
                    
                      GeometricDistribution(probability)

Full Usage: GeometricDistribution(probability)

Parameters:

probability : float

probability : float


                
                  
                    
                      GeometricDistribution(probability, generator)

Full Usage: GeometricDistribution(probability, generator)

Parameters:

probability : float

generator : Generator

probability : float
generator : 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: probability : `float`	probability : `float`
`this.IsValidProbability` Full Usage: `this.IsValidProbability` Parameters: value : `float` - The value to check. Returns: `bool` if value is greater than 0.0, and less than or equal to 1.0; otherwise, .	Determines whether the specified value is valid for parameter GeometricDistribution.Probability. value : `float` The value to check. Returns: `bool` if value is greater than 0.0, and less than or equal to 1.0; otherwise, .
`this.Maximum` Full Usage: `this.Maximum` Returns: `float` Modifiers: abstract	Gets the maximum possible value of geometric distributed random numbers. Returns: `float`
`this.Mean` Full Usage: `this.Mean` Returns: `float` Modifiers: abstract	Gets the mean value of geometric distributed random numbers. Returns: `float`
`this.Median` Full Usage: `this.Median` Returns: `float` Modifiers: abstract	Gets the median of geometric distributed random numbers. Returns: `float`
`this.Minimum` Full Usage: `this.Minimum` Returns: `float` Modifiers: abstract	Gets the minimum possible value of geometric distributed random numbers. Returns: `float`
`this.Mode` Full Usage: `this.Mode` Returns: `float[]` Modifiers: abstract	Gets the mode of geometric distributed random numbers. Returns: `float[]`
`this.Next` Full Usage: `this.Next` Returns: `int` A geometric distributed 32-bit signed integer.	Returns a geometric distributed random number. Returns: `int` A geometric distributed 32-bit signed integer.
`this.NextDouble` Full Usage: `this.NextDouble` Returns: `float` A geometric distributed double-precision floating point number. Modifiers: abstract	Returns a geometric distributed floating point random number. Returns: `float` A geometric distributed double-precision floating point number.
`this.PDF` Full Usage: `this.PDF` Parameters: x : `float` Returns: `float` Modifiers: abstract	x : `float` Returns: `float`
`this.Probability` Full Usage: `this.Probability`	Gets or sets the parameter alpha which is used for generation of geometric distributed random numbers. Call GeometricDistribution.IsValidProbability to determine whether a value is valid and therefor assignable.
`this.Variance` Full Usage: `this.Variance` Returns: `float` Modifiers: abstract	Gets the variance of geometric distributed random numbers. Returns: `float`

Static members

Static member Description

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


                
                  
                    
                      GeometricDistribution.CDF(x, p)

Full Usage: GeometricDistribution.CDF(x, p)

Parameters:

x : float

p : float

Returns: float

x : float
p : float

Returns: float


                
                  
                    
                      GeometricDistribution.PDF(x, p)

Full Usage: GeometricDistribution.PDF(x, p)

Parameters:

x : float

p : float

Returns: float

x : float
p : float

Returns: float