Represents the Pareto distribution.
Namespace: Extreme.Statistics.Distributions
Assembly: Extreme.Numerics (Extreme.Numerics)
Syntax
| Visual Basic (Declaration) |
|---|
Public Class ParetoDistribution _ Inherits ContinuousDistribution |
| C# |
|---|
public class ParetoDistribution : ContinuousDistribution |
| C++ |
|---|
public ref class ParetoDistribution : public ContinuousDistribution |
Methods
| Icon | Type | Description |
|---|---|---|
 | DistributionFunction(Double) |
Evaluates the cumulative distribution function
(CDF) of this distribution for the specified value.
|
| Equals(Object) | |
 | Finalize() | |
| GetExpectedHistogram(Double[](), Double) |
Gets a Histogram whose bins contain the expected number of samples
for a given total number of samples.
|
| GetExpectedHistogram(Double, Double, Int32, Double) |
Gets a Histogram whose bins contain the expected number of samples
for a given total number of samples.
|
| GetHashCode() | Serves as a hash function for a particular type. |
 | GetRandomVariate(Random, Double, Double) |
Returns a single random variate from a Pareto distribution
with the specified parameters.
|
| GetRandomVariate(Random) |
Returns a random sample from the distribution.
|
| GetRandomVariates(Random, Vector) |
Fills a Vector with random numbers.
|
| GetRandomVariates(Random, Double[]()) |
Fills a Double array with random numbers.
|
| GetRandomVariates(Random, Double[](), Int32, Int32) |
Fills a Double array with random numbers.
|
| GetRandomVariates(Random, Vector, Int32, Int32) |
Fills a Double array with random numbers.
|
| GetType() | Gets the Type of the current instance. |
| InverseDistributionFunction(Double) |
Returns the sample value at the specified percentile.
|
| MemberwiseClone() | Creates a shallow copy of the current Object. |
| Probability(Double, Double) |
Returns the probability that a sample taken from the
distribution lies inside the specified interval.
|
| ProbabilityDensityFunction(Double) |
Returns the value of the probability density function
(PDF) of this distribution for the specified value.
|
| SurvivorDistributionFunction(Double) |
Evaluates the survivor distribution function
(SDF) of this distribution for the specified value.
|
| ToString() |
Constructors
| Icon | Type | Description |
|---|---|---|
| ParetoDistributionNew(Double, Double) |
Constructs a new ParetoDistribution using the
specified shape parameters.
|
Properties
| Icon | Type | Description |
|---|---|---|
 | InterQuartileRange |
Returns the inter-quartile range of this distribution.
|
| IsSymmetrical |
Gets a value that indicates whether the distribution is known to be symmetrical around the mean.
|
| Kurtosis |
Gets the kurtosis of the distribution.
|
| Mean |
Gets the mean or expectation value of the distribution.
|
| ScaleParameter |
Gets the scale parameter for the distribution.
|
| ShapeParameter |
Gets the shape parameter for the distribution.
|
| Skewness |
Gets the skewness of the distribution.
|
| StandardDeviation |
Gets the standard deviation of the distribution.
|
| Variance |
Gets the variance of the distribution.
|
Remarks
The Pareto distribution is a skewed, heavy-tailed distribution
that is sometimes used to model the distribution of incomes.
Inheritance Hierarchy
System.Object
Extreme.Statistics.Distributions.Distribution
Extreme.Statistics.Distributions.ContinuousDistribution
Extreme.Statistics.Distributions.ParetoDistribution
Extreme.Statistics.Distributions.Distribution
Extreme.Statistics.Distributions.ContinuousDistribution
Extreme.Statistics.Distributions.ParetoDistribution
