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ExponentialDistribution Class
Represents an exponential distribution.
Inheritance Hierarchy

Namespace:  Meta.Numerics.Statistics.Distributions
Assembly:  Meta.Numerics (in Meta.Numerics.dll) Version: 3.1.0.0 (3.1.0.0)
Syntax
public sealed class ExponentialDistribution : Distribution

The ExponentialDistribution type exposes the following members.

Constructors
  NameDescription
Public methodExponentialDistribution
Initializes a new standard exponential distribution.
Public methodExponentialDistribution(Double)
Initializes a new exponential distribution with the given mean.
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Properties
Methods
  NameDescription
Public methodCumulant
Computes a cumulant of the distribution.
(Overrides UnivariateDistributionCumulant(Int32).)
Public methodEquals
Determines whether the specified Object is equal to the current Object.
(Inherited from Object.)
Public methodExpectationValue
Computes the expectation value of the given function.
(Inherited from Distribution.)
Public methodStatic memberFitToSample
Computes the exponential distribution that best fits the given sample.
Public methodGetHashCode
Serves as a hash function for a particular type.
(Inherited from Object.)
Public methodGetRandomValue
Returns a random value.
(Overrides DistributionGetRandomValue(Random).)
Public methodGetType
Gets the Type of the current instance.
(Inherited from Object.)
Public methodInverseLeftProbability
Returns the point at which the cumulative distribution function attains a given value.
(Overrides DistributionInverseLeftProbability(Double).)
Public methodInverseRightProbability
Returns the point at which the right probability function attains the given value.
(Overrides DistributionInverseRightProbability(Double).)
Public methodLeftProbability
Returns the cumulative probability to the left of (below) the given point.
(Overrides DistributionLeftProbability(Double).)
Public methodMoment
Computes a raw moment of the distribution.
(Overrides DistributionMoment(Int32).)
Public methodMomentAboutMean
Computes a central moment of the distribution.
(Overrides DistributionMomentAboutMean(Int32).)
Public methodProbabilityDensity
Returns the probability density at the given point.
(Overrides DistributionProbabilityDensity(Double).)
Public methodRightProbability
Return the cumulative probability to the right of (above) the given point.
(Overrides DistributionRightProbability(Double).)
Public methodToString
Returns a string that represents the current object.
(Inherited from Object.)
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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.

See Also