Lognormal |
Provides generation of lognormal distributed random numbers.
Inheritance HierarchySystemObject
Altaxo.Calc.ProbabilityDistribution
Altaxo.Calc.ProbabilityContinuousDistribution
Altaxo.Calc.ProbabilityLognormalDistribution
Altaxo.Calc.ProbabilityDistribution
Altaxo.Calc.ProbabilityContinuousDistribution
Altaxo.Calc.ProbabilityLognormalDistribution
Namespace: Altaxo.Calc.Probability
Assembly: AltaxoCore (in AltaxoCore.dll) Version: 4.8.3261.0 (4.8.3261.0)
SyntaxC#
public class LognormalDistribution : ContinuousDistribution
The LognormalDistribution type exposes the following members.
Constructors| Name | Description | |
|---|---|---|
 | LognormalDistribution | Initializes a new instance of the LognormalDistribution class, using a StandardGenerator as underlying random number generator. |
| LognormalDistribution(Generator) | Initializes a new instance of the LognormalDistribution class |
| LognormalDistribution(Double, Double) | Initializes a new instance of the LognormalDistribution class |
| LognormalDistribution(Double, Double, Generator) | Initializes a new instance of the LognormalDistribution class, using the specified Generator as underlying random number generator. |
Properties| Name | Description | |
|---|---|---|
 | CanReset |
Gets a value indicating whether the random number distribution can be reset, so that it produces the same
random number sequence again.
(Inherited from Distribution) |
| Generator |
Gets or sets a Generator object that can be used as underlying random number generator.
(Inherited from Distribution) |
| Maximum |
Gets the maximum possible value of lognormal distributed random numbers.
(Overrides DistributionMaximum) |
| Mean |
Gets the mean value of lognormal distributed random numbers.
(Overrides DistributionMean) |
| Median |
Gets the median of lognormal distributed random numbers.
(Overrides DistributionMedian) |
| Minimum |
Gets the minimum possible value of lognormal distributed random numbers.
(Overrides DistributionMinimum) |
| Mode |
Gets the mode of lognormal distributed random numbers.
(Overrides DistributionMode) |
| Mu | Gets or sets the parameter mu which is used for generation of lognormal distributed random numbers. |
| Sigma | Gets or sets the parameter sigma which is used for generation of lognormal distributed random numbers. |
| Variance |
Gets the variance of lognormal distributed random numbers.
(Overrides DistributionVariance) |
Methods| Name | Description | |
|---|---|---|
| CDF(Double) | (Overrides ContinuousDistributionCDF(Double)) |
 | CDF(Double, Double, Double) | |
| Equals | Determines whether the specified object is equal to the current object. (Inherited from Object) |
 | Finalize | Allows an object to try to free resources and perform other cleanup operations before it is reclaimed by garbage collection. (Inherited from Object) |
| GetHashCode | Serves as the default hash function. (Inherited from Object) |
| GetType | Gets the Type of the current instance. (Inherited from Object) |
| Initialize | |
| IsValidMu | Determines whether the specified value is valid for parameter Mu. |
| IsValidSigma | Determines whether the specified value is valid for parameter Sigma. |
| MemberwiseClone | Creates a shallow copy of the current Object. (Inherited from Object) |
| NextDouble |
Returns a lognormal distributed floating point random number.
(Overrides DistributionNextDouble) |
| PDF(Double) | (Overrides ContinuousDistributionPDF(Double)) |
| PDF(Double, Double, Double) | |
| Quantile(Double) | (Overrides ContinuousDistributionQuantile(Double)) |
| Quantile(Double, Double, Double) | |
| Reset |
Resets the random number distribution, so that it produces the same random number sequence again.
(Inherited from Distribution) |
| ToString | Returns a string that represents the current object. (Inherited from Object) |
Fields| Name | Description | |
|---|---|---|
 | generator |
Stores a Generator object that can be used as underlying random number generator.
(Inherited from Distribution) |
Remarks
The implementation of the LognormalDistribution type bases upon information presented on
Wikipedia - Lognormal Distribution and
the implementation in the Boost Random Number Library.
C#
Return log-normal distributed random deviates
with given mean and standard deviation stdev
according to the density function:
2
1 (ln x - m)
p (x) dx = -------------- exp( - ------------ ) dx for x > 0
m,s sqrt(2 pi x) s 2
2 s
= 0 otherwise
where m and s are related to the arguments mean and stdev by:
2
mean
m = ln ( --------------------- )
2 2
sqrt( stdev + mean )
2 2
stdev + mean
s = sqrt( ln( -------------- ) )
2
meanSee Also