TriangularDistribution (FsODE)

FsODE

Documentation for 0.0.2

TriangularDistribution Type

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

Provides generation of triangular distributed random numbers.

The parametrization is equal to the parametrization in Mathematica.

Constructors

Constructor Description


                
                  
                    
                      TriangularDistribution()

Full Usage: TriangularDistribution()

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


                
                  
                    
                      TriangularDistribution(generator)

Full Usage: TriangularDistribution(generator)

Parameters:

generator : Generator - A Generator object.

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

generator : Generator: A Generator object.

ArgumentNullException

generator is NULL ( in Visual Basic).


                
                  
                    
                      TriangularDistribution(min, max, c)

Full Usage: TriangularDistribution(min, max, c)

Parameters:

min : float - The left boundary of the PDF.

max : float - The right boundary of the PDF.

c : float - The location of the maximum of the PDF (has to be inbetween (min, max).

Initializes a new instance of the TriangularDistribution class.

min : float: The left boundary of the PDF.
max : float: The right boundary of the PDF.
c : float: The location of the maximum of the PDF (has to be inbetween (min, max).


                
                  
                    
                      TriangularDistribution(min, max, c, generator)

Full Usage: TriangularDistribution(min, max, c, generator)

Parameters:

min : float - The left boundary of the PDF.

max : float - The right boundary of the PDF.

c : float - The location of the maximum of the PDF (has to be inbetween (min, max).

generator : Generator - The generator.

Initializes a new instance of the TriangularDistribution class.

min : float: The left boundary of the PDF.
max : float: The right boundary of the PDF.
c : float: The location of the maximum of the PDF (has to be inbetween (min, max).
generator : Generator: The generator.

Instance members

Instance member	Description
`this.C` Full Usage: `this.C` Returns: `float`	Gets or sets the parameter C (the location of the maximum of the PDF), which is used for generation of triangular distributed random numbers. Call TriangularDistribution.IsValidC to determine whether a value is valid and therefor assignable. Returns: `float`
`this.CDF` Full Usage: `this.CDF` Parameters: x : `float` - Argument. Returns: `float` The probability that the random variable of this probability distribution will be found at a value less than or equal to x. Modifiers: abstract	Calculates the cumulative distribution function. x : `float` Argument. Returns: `float` The probability that the random variable of this probability distribution will be found at a value less than or equal to x.
`this.Initialize` Full Usage: `this.Initialize` Parameters: min : `float` - The left boundary of the PDF. max : `float` - The right boundary of the PDF. c : `float` - The location of the maximum of the PDF (has to be inbetween (min, max).	Initializes the distribution. min : `float` The left boundary of the PDF. max : `float` The right boundary of the PDF. c : `float` The location of the maximum of the PDF (has to be inbetween (min, max).
`this.IsValidC` Full Usage: `this.IsValidC` Parameters: value : `float` - The value to check. Returns: `bool` if value is greater than or equal to TriangularDistribution.Min, and greater than or equal to TriangularDistribution.Max; otherwise, .	Determines whether the specified value is valid for parameter TriangularDistribution.C. value : `float` The value to check. Returns: `bool` if value is greater than or equal to TriangularDistribution.Min, and greater than or equal to TriangularDistribution.Max; otherwise, .
`this.IsValidMax` Full Usage: `this.IsValidMax` Parameters: value : `float` - The value to check. Returns: `bool` if value is greater than TriangularDistribution.Min, and greater than or equal to TriangularDistribution.C; otherwise, .	Determines whether the specified value is valid for parameter TriangularDistribution.Max. value : `float` The value to check. Returns: `bool` if value is greater than TriangularDistribution.Min, and greater than or equal to TriangularDistribution.C; otherwise, .
`this.IsValidMin` Full Usage: `this.IsValidMin` Parameters: value : `float` - The value to check. Returns: `bool` if value is less than TriangularDistribution.Max, and less than or equal to TriangularDistribution.C; otherwise, .	Determines whether the specified value is valid for parameter TriangularDistribution.Min. value : `float` The value to check. Returns: `bool` if value is less than TriangularDistribution.Max, and less than or equal to TriangularDistribution.C; otherwise, .
`this.Max` Full Usage: `this.Max` Returns: `float`	Gets or sets the parameter Max (the right boundary of the PDF), which is used for generation of triangular distributed random numbers. Call TriangularDistribution.IsValidMax to determine whether a value is valid and therefor assignable. Returns: `float`
`this.Maximum` Full Usage: `this.Maximum` Returns: `float` Modifiers: abstract	Gets the maximum possible value of triangular distributed random numbers. Returns: `float`
`this.Mean` Full Usage: `this.Mean` Returns: `float` Modifiers: abstract	Gets the mean value of triangular distributed random numbers. Returns: `float`
`this.Median` Full Usage: `this.Median` Returns: `float` Modifiers: abstract	Gets the median of triangular distributed random numbers. Returns: `float`
`this.Min` Full Usage: `this.Min` Returns: `float`	Gets or sets the parameter Min (the left boundary of the PDF), which is used for generation of triangular distributed random numbers. Call TriangularDistribution.IsValidMin to determine whether a value is valid and therefor assignable. Returns: `float`
`this.Minimum` Full Usage: `this.Minimum` Returns: `float` Modifiers: abstract	Gets the minimum possible value of triangular distributed random numbers. Returns: `float`
`this.Mode` Full Usage: `this.Mode` Returns: `float[]` Modifiers: abstract	Gets the mode of triangular distributed random numbers. Returns: `float[]`
`this.NextDouble` Full Usage: `this.NextDouble` Returns: `float` A triangular distributed double-precision floating point number. Modifiers: abstract	Returns a triangular distributed floating point random number. Returns: `float` A triangular distributed double-precision floating point number.
`this.PDF` Full Usage: `this.PDF` Parameters: x : `float` - Argument. Returns: `float` The relative likelihood for the random variable to occur at the point x. Modifiers: abstract	Calculates the probability density function. x : `float` Argument. Returns: `float` The relative likelihood for the random variable to occur at the point x.
`this.Quantile` Full Usage: `this.Quantile` Parameters: p : `float` - The probability p. Returns: `float` The point x at which the cumulative distribution function TriangularDistribution.CDF of argument x is equal to p. Modifiers: abstract	Calculates the quantile of the distribution function. p : `float` The probability p. Returns: `float` The point x at which the cumulative distribution function TriangularDistribution.CDF of argument x is equal to p.
`this.Variance` Full Usage: `this.Variance` Returns: `float` Modifiers: abstract	Gets the variance of triangular distributed random numbers. Returns: `float`

Static members

Static member	Description
`TriangularDistribution.CDF(x, min, max, c)` Full Usage: `TriangularDistribution.CDF(x, min, max, c)` Parameters: x : `float` - The x. min : `float` - The left boundary of the PDF. max : `float` - The right boundary of the PDF. c : `float` - The location of the maximum of the PDF (has to be inbetween (min, max). Returns: `float` The cumulative distribution function at x.	Calculates the cumulative distribution function at the specified x. x : `float` The x. min : `float` The left boundary of the PDF. max : `float` The right boundary of the PDF. c : `float` The location of the maximum of the PDF (has to be inbetween (min, max). Returns: `float` The cumulative distribution function at x.
`TriangularDistribution.PDF(x, min, max, c)` Full Usage: `TriangularDistribution.PDF(x, min, max, c)` Parameters: x : `float` - The x. min : `float` - The left boundary of the PDF. max : `float` - The right boundary of the PDF. c : `float` - The location of the maximum of the PDF (has to be inbetween (min, max). Returns: `float` The probability density at x.	Calculates the probability density at the specified x. x : `float` The x. min : `float` The left boundary of the PDF. max : `float` The right boundary of the PDF. c : `float` The location of the maximum of the PDF (has to be inbetween (min, max). Returns: `float` The probability density at x.
`TriangularDistribution.Quantile(p, min, max, c)` Full Usage: `TriangularDistribution.Quantile(p, min, max, c)` Parameters: p : `float` - The p. min : `float` - The left boundary of the PDF. max : `float` - The right boundary of the PDF. c : `float` - The location of the maximum of the PDF (has to be inbetween (min, max). Returns: `float` The quantile at the probability p.	Calculates the quantile at the specified probability p. p : `float` The p. min : `float` The left boundary of the PDF. max : `float` The right boundary of the PDF. c : `float` The location of the maximum of the PDF (has to be inbetween (min, max). Returns: `float` The quantile at the probability p.