Represents an exponential distribution.

Namespace: Meta.Numerics.Statistics.Distributions
Assembly: Meta.Numerics (in Meta.Numerics.dll) Version: 2.1.0.0 (2.1.0.0)

Syntax

            
 C#  Visual Basic  Visual C++  F# 
public sealed class ExponentialDistribution : Distribution, 
	IParameterizedDistribution
Public NotInheritable Class ExponentialDistribution _
	Inherits Distribution _
	Implements IParameterizedDistribution
public ref class ExponentialDistribution sealed : public Distribution, 
	IParameterizedDistribution
[<SealedAttribute>]
type ExponentialDistribution =  
    class
        inherit Distribution
        interface IParameterizedDistribution
    end

Members

            
 All Members  Constructors   Properties   Methods  
 Public

 Protected
 Instance

 Static 
 Declared

 Inherited
 XNA Framework Only 

 .NET Compact Framework Only 

 MemberDescription
ExponentialDistribution()()()()
Initializes a new standard exponential distribution.
ExponentialDistribution(Double)
Initializes a new exponential distribution with the given mean.
Equals(Object)
Determines whether the specified Object is equal to the current Object.
(Inherited from Object.)
ExpectationValue(Func<(Of <<'(Double, Double>)>>))
Computes the expectation value of the given function.
(Inherited from Distribution.)
Finalize()()()()
Allows an Object to attempt to free resources and perform other cleanup operations before the Object is reclaimed by garbage collection.
(Inherited from Object.)
FitToSample(Sample)
Computes the exponential distribution that best fits the given sample.
GetHashCode()()()()
Serves as a hash function for a particular type.
(Inherited from Object.)
GetRandomValue(Random)
Returns a random value.
(Inherited from Distribution.)
GetType()()()()
Gets the Type of the current instance.
(Inherited from Object.)
InverseLeftProbability(Double)
Returns the point at which the cumulative distribution function attains a given value.
(Overrides Distribution..::..InverseLeftProbability(Double).)
InverseRightProbability(Double)
Returns the point at which the right probability function attains the given value.
(Inherited from Distribution.)
LeftProbability(Double)
Returns the cumulative probability to the left of (below) the given point.
(Overrides Distribution..::..LeftProbability(Double).)
Mean
Gets the mean of the distribution.
(Overrides Distribution..::..Mean.)
Median
Gets the median of the distribution.
(Overrides Distribution..::..Median.)
MemberwiseClone()()()()
Creates a shallow copy of the current Object.
(Inherited from Object.)
Moment(Int32)
Returns the given moment of the distribution.
(Overrides Distribution..::..Moment(Int32).)
MomentAboutMean(Int32)
Returns the given moment of the distribution, about the mean.
(Overrides Distribution..::..MomentAboutMean(Int32).)
ProbabilityDensity(Double)
Returns the probability density at the given point.
(Overrides Distribution..::..ProbabilityDensity(Double).)
RightProbability(Double)
Return the cumulative probability to the right of (above) the given point.
(Overrides Distribution..::..RightProbability(Double).)
Skewness
Ges the skewness of the distribution.
(Overrides Distribution..::..Skewness.)
StandardDeviation
Gets the standard deviation of the distribution.
(Overrides Distribution..::..StandardDeviation.)
Support
Gets the interval over which the distribution is nonvanishing.
(Overrides Distribution..::..Support.)
ToString()()()()
Returns a String that represents the current Object.
(Inherited from Object.)
Variance
Gets the variance of the distribution.
(Inherited from Distribution.)

Remarks

An exponential distribution falls off exponentially in the range from zero to infinity. It is a one-parameter distribution, determined entirely by its rate of fall-off.

The exponential distribution describes the distribution of decay times of radioactive particles.

An exponential distribution with mean one is called a standard exponential distribution. Any exponential distribution can be converted to a standard exponential by reparameterizing the data into "fractions of the mean," i.e. z = x / μ.

Processes resulting in events that are exponentially distributed in time are said to be "ageless" because the hazard function of the exponential distribution is constant. The Weibull distribution (WeibullDistribution) is a generalization of the exponential distribution which the hazard function changes (typically by increasing) with time.

Inheritance Hierarchy

System..::..Object
  Meta.Numerics.Statistics.Distributions..::..Distribution
    Meta.Numerics.Statistics.Distributions..::..ExponentialDistribution

See Also