Assembly: Extreme.Numerics (Extreme.Numerics)
Syntax
| Visual Basic (Declaration) |
|---|
Public MustInherit Class ContinuousDistribution _ Inherits Distribution |
| C# |
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public abstract class ContinuousDistribution : Distribution |
| C++ |
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public ref class ContinuousDistribution abstract : public Distribution |
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) |
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 inverse of the DistributionFunction(Double).
|
| 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 |
|---|---|---|
| ContinuousDistributionNew() |
Constructs a new ContinuousDistribution object.
|
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.
|
| Skewness |
Gets the skewness of the distribution.
|
| StandardDeviation |
Gets the standard deviation of the distribution.
|
| Variance |
Gets the variance of the distribution.
|
Remarks
The distribution of a variable is a description of the relative numbers of times each possible outcome will occur in a number of trials. The function describing the distribution is called the probability function, and the function describing the cumulative probability that a given value or any value smaller than it will occur is called the distribution function.
A continuous probability distribution is a statistical distribution whose variables can take on any value within a certain interval. This interval may be infinite.
This library contains classes for the most common continuous distributions. They are listed in the table below:
DistributionDefinitionBetaDistributionThe beta distribution.CauchyDistributionThe Cauchy distribution.ContinuousUniformDistributionThe continuous uniform distribution.ErlangDistributionThe Erlang distribution.ExponentialDistributionThe exponential distribution.FDistributionThe F distribution.GammaDistributionThe gamma distribution.GumbelDistributionThe Gumbel or extreme value distribution.LaplaceDistributionThe Laplace distribution.LogisticDistributionThe logistic distribution.LognormalDistributionThe log-normal distribution.NormalDistributionThe normal distribution.ParetoDistributionThe Pareto distribution.RayleighDistributionThe Rayleigh distribution.StudentTDistributionThe student-t distribution.TriangularDistributionThe triangular distribution.WeibullDistributionThe Weibull distribution.ContinuousDistribution is an abstract base class that cannot be instantiated. To create a continuous distribution of a specific type, instantiate a class derived from ContinuousDistribution.
Notes to inheritors: When you inherit from ContinuousDistribution, you must override the following members: ProbabilityDensityFunction(Double), DistributionFunction(Double), Mean and Variance. You should also override the following methods: GetRandomVariate(Random), Skewness, Kurtosis.
Inheritance Hierarchy
Extreme.Statistics.Distributions.Distribution
Extreme.Statistics.Distributions.ContinuousDistribution
