ParetoDistribution (FsODE)

FsODE

Documentation for 0.0.2

ParetoDistribution Type

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

Provides generation of pareto distributed random numbers.

The implementation of the ParetoDistribution type bases upon information presented on Wikipedia - Pareto distribution and Xycoon - Pareto Distribution.

Constructors

Constructor Description


                
                  
                    
                      ParetoDistribution()

Full Usage: ParetoDistribution()

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


                
                  
                    
                      ParetoDistribution(generator)

Full Usage: ParetoDistribution(generator)

Parameters:

generator : Generator - A Generator object.

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

generator : Generator: A Generator object.

ArgumentNullException

generator is NULL ( in Visual Basic).


                
                  
                    
                      ParetoDistribution(alpha, beta)

Full Usage: ParetoDistribution(alpha, beta)

Parameters:

alpha : float

beta : float

alpha : float
beta : float


                
                  
                    
                      ParetoDistribution(alpha, beta, generator)

Full Usage: ParetoDistribution(alpha, beta, generator)

Parameters:

alpha : float

beta : float

generator : Generator

alpha : float
beta : float
generator : Generator

Instance members

Instance member	Description
`this.Alpha` Full Usage: `this.Alpha`	Gets or sets the parameter alpha which is used for generation of pareto distributed random numbers. Call ParetoDistribution.IsValidAlpha to determine whether a value is valid and therefor assignable.
`this.Beta` Full Usage: `this.Beta`	Gets or sets the parameter beta which is used for generation of pareto distributed random numbers. Call ParetoDistribution.IsValidBeta 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` beta : `float`	alpha : `float` beta : `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 ParetoDistribution.Alpha. value : `float` The value to check. Returns: `bool` if value is greater than 0.0; otherwise, .
`this.IsValidBeta` Full Usage: `this.IsValidBeta` 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 ParetoDistribution.Beta. value : `float` The value to check. Returns: `bool` if value is greater than 0.0; otherwise, .
`this.Maximum` Full Usage: `this.Maximum` Returns: `float` Modifiers: abstract	Gets the maximum possible value of pareto distributed random numbers. Returns: `float`
`this.Mean` Full Usage: `this.Mean` Returns: `float` Modifiers: abstract	Gets the mean value of pareto distributed random numbers. Returns: `float`
`this.Median` Full Usage: `this.Median` Returns: `float` Modifiers: abstract	Gets the median of pareto distributed random numbers. Returns: `float`
`this.Minimum` Full Usage: `this.Minimum` Returns: `float` Modifiers: abstract	Gets the minimum possible value of pareto distributed random numbers. Returns: `float`
`this.Mode` Full Usage: `this.Mode` Returns: `float[]` Modifiers: abstract	Gets the mode of pareto distributed random numbers. Returns: `float[]`
`this.NextDouble` Full Usage: `this.NextDouble` Returns: `float` A pareto distributed double-precision floating point number. Modifiers: abstract	Returns a pareto distributed floating point random number. Returns: `float` A pareto distributed double-precision floating point number.
`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 pareto distributed random numbers. Returns: `float`

Static members

Static member	Description
`ParetoDistribution.CDF(x, alpha, beta)` Full Usage: `ParetoDistribution.CDF(x, alpha, beta)` Parameters: x : `float` alpha : `float` beta : `float` Returns: `float`	x : `float` alpha : `float` beta : `float` Returns: `float`
`ParetoDistribution.PDF(x, alpha, beta)` Full Usage: `ParetoDistribution.PDF(x, alpha, beta)` Parameters: x : `float` alpha : `float` beta : `float` Returns: `float`	x : `float` alpha : `float` beta : `float` Returns: `float`
`ParetoDistribution.Quantile(p, alpha, beta)` Full Usage: `ParetoDistribution.Quantile(p, alpha, beta)` Parameters: p : `float` alpha : `float` beta : `float` Returns: `float`	p : `float` alpha : `float` beta : `float` Returns: `float`