Log |
Generates log-normal distributed random numbers.
Inheritance HierarchySystemObject
Altaxo.Calc.Probability.OldProbabilityDistribution
Altaxo.Calc.Probability.OldNormalDistribution
Altaxo.Calc.Probability.OldLogNormalDistribution
Altaxo.Calc.Probability.OldProbabilityDistribution
Altaxo.Calc.Probability.OldNormalDistribution
Altaxo.Calc.Probability.OldLogNormalDistribution
Namespace: Altaxo.Calc.Probability.Old
Assembly: AltaxoCore (in AltaxoCore.dll) Version: 4.8.3572.0 (4.8.3572.0)
SyntaxC#
public class LogNormalDistribution : NormalDistribution
The LogNormalDistribution type exposes the following members.
Constructors| Name | Description | |
|---|---|---|
 | LogNormalDistribution | Initializes a new instance of the LogNormalDistribution class. |
 | LogNormalDistribution(Double, Double) | Initializes a new instance of the LogNormalDistribution class. |
| LogNormalDistribution(Double, Double, RandomGenerator) | Initializes a new instance of the LogNormalDistribution class. |
Properties| Name | Description | |
|---|---|---|
 | Generator | Returns the random generator used by the distribution to generate the random values. (Inherited from ProbabilityDistribution) |
| Mean | Gets the mean of the distribution. (Overrides NormalDistributionMean) |
| Stdev | Gets the standard deviation of the distribution. (Overrides NormalDistributionStdev) |
Methods| Name | Description | |
|---|---|---|
| CDF |
Gives the cumulative probability at x.
(Overrides NormalDistributionCDF(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 | Initializes the parameters of the log-normal distribution. |
| MemberwiseClone | Creates a shallow copy of the current Object. (Inherited from Object) |
| NextDouble |
Generates a random value distributed according to the distribution.
(Overrides NormalDistributionNextDouble) |
|
Gives the probability density at x.
(Overrides NormalDistributionPDF(Double)) | |
| Quantile |
Gives the pth quantile of the distribution.
(Overrides NormalDistributionQuantile(Double)) |
| ToString | Returns a string that represents the current object. (Inherited from Object) |
Fields| Name | Description | |
|---|---|---|
 | cached |
Cached flag indicating whether a value is available in the Box-Muller cache.
(Inherited from NormalDistribution) |
| cacheval |
Cached parameters and coefficients used by the normal distribution implementation.
(Inherited from NormalDistribution) |
| generator | Pointer to generator. (Inherited from ProbabilityDistribution) |
| m_log | Cached logarithmic mean and standard deviation. |
| mu |
Cached parameters and coefficients used by the normal distribution implementation.
(Inherited from NormalDistribution) |
| s_log | Cached logarithmic mean and standard deviation. |
| scale |
Cached parameters and coefficients used by the normal distribution implementation.
(Inherited from NormalDistribution) |
| sigma |
Cached parameters and coefficients used by the normal distribution implementation.
(Inherited from NormalDistribution) |
Remarks
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
mean
See Also