public sealed class ExponentialDistribution : ContinuousDistribution
Public NotInheritable Class ExponentialDistribution Inherits ContinuousDistribution
public ref class ExponentialDistribution sealed : public ContinuousDistribution
[<SealedAttribute>] type ExponentialDistribution = class inherit ContinuousDistribution end
Thetype exposes the following members.
Initializes a new standard exponential distribution.
Initializes a new exponential distribution with the given mean.
Gets the excess kurtosis of the distribution.(Overrides UnivariateDistributionExcessKurtosis.)
Gets the mean of the distribution.(Overrides UnivariateDistributionMean.)
Gets the median of the distribution.(Overrides ContinuousDistributionMedian.)
Gets the skewness of the distribution.(Overrides UnivariateDistributionSkewness.)
Gets the standard deviation of the distribution.(Overrides UnivariateDistributionStandardDeviation.)
Gets the interval over which the distribution is non-vanishing.(Overrides ContinuousDistributionSupport.)
Gets the variance of the distribution.(Inherited from UnivariateDistribution.)
Computes a central moment of the distribution.(Overrides ContinuousDistributionCentralMoment(Int32).)
Computes a cumulant of the distribution.(Overrides UnivariateDistributionCumulant(Int32).)
Determines whether the specified object is equal to the current object.(Inherited from Object.)
Computes the expectation value of the given function.(Inherited from ContinuousDistribution.)
Computes the exponential distribution that best fits the given sample.
Serves as the default hash function.(Inherited from Object.)
Generates a random variate.(Overrides ContinuousDistributionGetRandomValue(Random).)
Generates the given number of random variates.(Inherited from ContinuousDistribution.)
Gets the Type of the current instance.(Inherited from Object.)
Computes the hazard function.(Overrides ContinuousDistributionHazard(Double).)
Returns the point at which the cumulative distribution function attains a given value.(Overrides ContinuousDistributionInverseLeftProbability(Double).)
Returns the point at which the right probability function attains the given value.(Overrides ContinuousDistributionInverseRightProbability(Double).)
Returns the cumulative probability to the left of (below) the given point.(Overrides ContinuousDistributionLeftProbability(Double).)
Returns the probability density at the given point.(Overrides ContinuousDistributionProbabilityDensity(Double).)
Computes a raw moment of the distribution.(Overrides ContinuousDistributionRawMoment(Int32).)
Returns the cumulative probability to the right of (above) the given point.(Overrides ContinuousDistributionRightProbability(Double).)
Returns a string that represents the current object.(Inherited from Object.)
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 re-parameterizing 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.