NormalDistribution (FsODE)

FsODE

Documentation for 0.0.2

NormalDistribution Type

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

Provides generation of normal distributed random numbers.

The implementation of the NormalDistribution type bases upon information presented on Wikipedia - Normal distribution and the implementation in the Communication Networks Class Library.

             Return normal (Gaussian) distributed random deviates
             with mean "m" and standard deviation  "s" according to the density:
            
                                                       2
                                  1               (x-m)
              p   (x) dx =  ------------  exp( - ------- ) dx
               m,s          sqrt(2 pi) s          2 s*s

Constructors

Constructor Description


                
                  
                    
                      NormalDistribution()

Full Usage: NormalDistribution()

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


                
                  
                    
                      NormalDistribution(generator)

Full Usage: NormalDistribution(generator)

Parameters:

generator : Generator - A Generator object.

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

generator : Generator: A Generator object.

ArgumentNullException

generator is NULL ( in Visual Basic).


                
                  
                    
                      NormalDistribution(mu, sigma)

Full Usage: NormalDistribution(mu, sigma)

Parameters:

mu : float - Mean value.

sigma : float - Standard deviation.

Initializes a new instance of the NormalDistribution class, using the Distribution.DefaultGenerator as underlying random number generator.

mu : float: Mean value.
sigma : float: Standard deviation.


                
                  
                    
                      NormalDistribution(mu, sigma, generator)

Full Usage: NormalDistribution(mu, sigma, generator)

Parameters:

mu : float - Mean value.

sigma : float - Standard deviation.

generator : Generator - A Generator object.

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

mu : float: Mean value.
sigma : float: Standard deviation.
generator : Generator: A Generator object.

ArgumentNullException

generator is NULL ( in Visual Basic).

Instance members

Instance member	Description
`this.CDF` Full Usage: `this.CDF` Parameters: z : `float` Returns: `float` Modifiers: abstract	z : `float` Returns: `float`
`this.Initialize` Full Usage: `this.Initialize` Parameters: mu : `float` sigma : `float`	mu : `float` sigma : `float`
`this.IsValidMu` Full Usage: `this.IsValidMu` Parameters: value : `float` - The value to check. Returns: `bool` .	Determines whether the specified value is valid for parameter NormalDistribution.Mu. value : `float` The value to check. Returns: `bool` .
`this.IsValidSigma` Full Usage: `this.IsValidSigma` 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 NormalDistribution.Sigma. 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 normal distributed random numbers. Returns: `float`
`this.Mean` Full Usage: `this.Mean` Returns: `float` Modifiers: abstract	Gets the mean value of normal distributed random numbers. Returns: `float`
`this.Median` Full Usage: `this.Median` Returns: `float` Modifiers: abstract	Gets the median of normal distributed random numbers. Returns: `float`
`this.Minimum` Full Usage: `this.Minimum` Returns: `float` Modifiers: abstract	Gets the minimum possible value of normal distributed random numbers. Returns: `float`
`this.Mode` Full Usage: `this.Mode` Returns: `float[]` Modifiers: abstract	Gets the mode of normal distributed random numbers. Returns: `float[]`
`this.Mu` Full Usage: `this.Mu`	Gets or sets the parameter mu which is used for generation of normal distributed random numbers. Call NormalDistribution.IsValidMu to determine whether a value is valid and therefor assignable.
`this.NextDouble` Full Usage: `this.NextDouble` Returns: `float` A normal distributed double-precision floating point number. Modifiers: abstract	Returns a normal distributed floating point random number. Returns: `float` A normal distributed double-precision floating point number.
`this.PDF` Full Usage: `this.PDF` Parameters: z : `float` Returns: `float` Modifiers: abstract	z : `float` Returns: `float`
`this.Quantile` Full Usage: `this.Quantile` Parameters: p : `float` Returns: `float` Modifiers: abstract	p : `float` Returns: `float`
`this.Sigma` Full Usage: `this.Sigma`	Gets or sets the parameter sigma which is used for generation of normal distributed random numbers. Call NormalDistribution.IsValidSigma to determine whether a value is valid and therefor assignable.
`this.Variance` Full Usage: `this.Variance` Returns: `float` Modifiers: abstract	Gets the variance of normal distributed random numbers. Returns: `float`

Static members

Static member	Description
`NormalDistribution.CDF(z, m, s)` Full Usage: `NormalDistribution.CDF(z, m, s)` Parameters: z : `float` m : `float` s : `float` Returns: `float`	z : `float` m : `float` s : `float` Returns: `float`
`NormalDistribution.PDF(z, m, s)` Full Usage: `NormalDistribution.PDF(z, m, s)` Parameters: z : `float` m : `float` s : `float` Returns: `float`	z : `float` m : `float` s : `float` Returns: `float`
`NormalDistribution.Quantile(p, m, s)` Full Usage: `NormalDistribution.Quantile(p, m, s)` Parameters: p : `float` m : `float` s : `float` Returns: `float`	p : `float` m : `float` s : `float` Returns: `float`