Generalized
            
            
            Represents the Generalized Pareto distribution.
            
Definition
Namespace: Numerics.NET.Statistics.Distributions
Assembly: Numerics.NET (in Numerics.NET.dll) Version: 9.1.5
    C#
    
 
 
Assembly: Numerics.NET (in Numerics.NET.dll) Version: 9.1.5
[SerializableAttribute]
public class GeneralizedParetoDistribution : ContinuousDistribution- Inheritance
- Object → Distribution → ContinuousDistribution → GeneralizedParetoDistribution
Remarks
The Generalized Pareto distribution is a generalization of the ParetoDistribution that is often used to model the tails of a wide variety of distributions.
If the shape parameter is zero, the Generalized Pareto distribution reduces to an exponential distribution.
Constructors
| Generalized | Constructs a new GeneralizedParetoDistribution with the specified shape, scale, and location parameters. | 
Properties
| Capabilities | Gets a value that indicates the capabilities of the distribution class. (Inherited from Distribution) | 
| Entropy | Gets the entropy of the distribution. (Overrides Distribution.Entropy) | 
| Inter | Returns the inter-quartile range of this distribution. (Inherited from ContinuousDistribution) | 
| IsSymmetrical | Gets whether the distribution is known to be symmetrical around the mean. (Inherited from ContinuousDistribution) | 
| IsUnimodal | Gets whether the distribution has one or more modes. (Inherited from ContinuousDistribution) | 
| Kurtosis | Gets the kurtosis of the distribution. (Overrides Distribution.Kurtosis) | 
| Location | Gets the location parameter for the distribution. | 
| Mean | Gets the mean or expectation value of the distribution. (Overrides Distribution.Mean) | 
| Median | Gets the median of the distribution. (Overrides ContinuousDistribution.Median) | 
| Mode | Gets the mode of the distribution. (Overrides ContinuousDistribution.Mode) | 
| Number | Gets the number of modes of the distribution. (Inherited from ContinuousDistribution) | 
| Scale | Gets the scale parameter for the distribution. | 
| Shape | Gets the shape parameter for the distribution. | 
| Skewness | Gets the skewness of the distribution. (Overrides Distribution.Skewness) | 
| Standard | Gets the standard deviation of the distribution. (Inherited from Distribution) | 
| Statistic | Gets the common symbol to describe a statistic
            from the distribution. (Inherited from Distribution) | 
| Support | Gets the support of the distribution. (Overrides ContinuousDistribution.Support) | 
| Variance | Gets the variance of the distribution. (Overrides Distribution.Variance) | 
Methods
| Cdf | Evaluates the cumulative distribution function
            (CDF) of this distribution for the specified value. (Inherited from ContinuousDistribution) | 
| Distribution | Evaluates the cumulative distribution function
            (CDF) of this distribution for the specified value. (Overrides ContinuousDistribution.DistributionFunction(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) | 
| Get | Returns an array that contains all the modes of the distribution. (Inherited from ContinuousDistribution) | 
| Get | Returns the expectation value of a function. (Inherited from ContinuousDistribution) | 
| Get | Returns the un-normalized expectation value of a function over the specified interval. (Inherited from ContinuousDistribution) | 
| Get | Gets a vector containing a histogram of the expected number of samples
            for a given total number of samples. (Inherited from ContinuousDistribution) | 
| Get | Gets a vector containing a histogram of the expected number of samples
            for a given total number of samples. (Inherited from ContinuousDistribution) | 
| Get | Gets a vector whose bins contain the expected number of samples
            for a given total number of samples. (Inherited from ContinuousDistribution) | 
| Get | Serves as the default hash function. (Inherited from Object) | 
| Get | Returns a sequence of random samples from the distribution. (Inherited from ContinuousDistribution) | 
| Get | Returns a sequence of random samples from the distribution. (Inherited from ContinuousDistribution) | 
| Get | Returns a sequence of random samples of the specified length from the distribution. (Inherited from ContinuousDistribution) | 
| Get | Gets the Type of the current instance. (Inherited from Object) | 
| Hazard | Returns the probability of failure at the specified value. (Inherited from ContinuousDistribution) | 
| Inverse | Returns the inverse of the DistributionFunction(Double). (Inherited from ContinuousDistribution) | 
| Inverse | Returns the inverse of the DistributionFunction(Double). (Overrides ContinuousDistribution.InverseDistributionFunction(Double)) | 
| Left | Returns the probability that a sample from the distribution
            is less than the specified value. (Inherited from ContinuousDistribution) | 
| Log | Returns the logarithm of the probability density function
            (PDF) of this distribution for the specified value. (Inherited from ContinuousDistribution) | 
| Memberwise | Creates a shallow copy of the current Object. (Inherited from Object) | 
| Moment | Returns the value of the moment function of the specified order. (Overrides ContinuousDistribution.MomentFunction(Int32, Double)) | 
| Returns the value of the probability density function
            (PDF) of this distribution for the specified value. (Inherited from ContinuousDistribution) | |
| Probability | Returns the probability that a sample taken from the
            distribution lies inside the specified interval. (Inherited from ContinuousDistribution) | 
| Probability | Returns the value of the probability density function
            (PDF) of this distribution for the specified value. (Overrides ContinuousDistribution.ProbabilityDensityFunction(Double)) | 
| Right | Returns the probability that a sample from the distribution
            is larger than the specified value. (Inherited from ContinuousDistribution) | 
| Sample() | Returns a random sample from the distribution. (Inherited from ContinuousDistribution) | 
| Sample( | Returns a vector of random samples from the distribution. (Inherited from ContinuousDistribution) | 
| Sample( | Returns a random sample from the distribution. (Overrides ContinuousDistribution.Sample(Random)) | 
| Sample( | Returns a vector of random samples from the distribution. (Inherited from ContinuousDistribution) | 
| Sample( | Returns a single random sample from a gamma distribution with the specified parameters. | 
| Sample( | Returns a single random sample from a gamma distribution with the specified parameters. | 
| Sample | Fills a list with random numbers from the distribution. (Inherited from ContinuousDistribution) | 
| Sample | Fills a list with random numbers from the distribution. (Inherited from ContinuousDistribution) | 
| Sample | Fills a span with random numbers from the distribution. (Inherited from ContinuousDistribution) | 
| Sample | Fills part of a list with random numbers from the distribution. (Inherited from ContinuousDistribution) | 
| Survivor | Evaluates the survivor distribution function
            (SDF) of this distribution for the specified value. (Overrides ContinuousDistribution.SurvivorDistributionFunction(Double)) | 
| ToString | Returns a string that represents the current object. (Inherited from Object) | 
| Two | Returns the probability that a sample from the distribution deviates from the mean more than
            the specified value. (Inherited from ContinuousDistribution) |