ExponentialDistribution Class 
Namespace: Meta.Numerics.Statistics.Distributions
The ExponentialDistribution type exposes the following members.
Name  Description  

ExponentialDistribution 
Initializes a new standard exponential distribution.
 
ExponentialDistribution(Double) 
Initializes a new exponential distribution with the given mean.

Name  Description  

ExcessKurtosis 
Gets the excess kurtosis of the distribution.
(Overrides UnivariateDistributionExcessKurtosis.)  
Mean 
Gets the mean of the distribution.
(Overrides UnivariateDistributionMean.)  
Median 
Gets the median of the distribution.
(Overrides ContinuousDistributionMedian.)  
Skewness 
Gets the skewness of the distribution.
(Overrides UnivariateDistributionSkewness.)  
StandardDeviation 
Gets the standard deviation of the distribution.
(Overrides UnivariateDistributionStandardDeviation.)  
Support 
Gets the interval over which the distribution is nonvanishing.
(Overrides ContinuousDistributionSupport.)  
Variance 
Gets the variance of the distribution.
(Inherited from UnivariateDistribution.) 
Name  Description  

CentralMoment 
Computes a central moment of the distribution.
(Overrides ContinuousDistributionCentralMoment(Int32).)  
Cumulant 
Computes a cumulant of the distribution.
(Overrides UnivariateDistributionCumulant(Int32).)  
Equals  Determines whether the specified object is equal to the current object. (Inherited from Object.)  
ExpectationValue 
Computes the expectation value of the given function.
(Inherited from ContinuousDistribution.)  
FitToSample 
Computes the exponential distribution that best fits the given sample.
 
GetHashCode  Serves as the default hash function. (Inherited from Object.)  
GetRandomValue 
Generates a random variate.
(Overrides ContinuousDistributionGetRandomValue(Random).)  
GetRandomValues 
Generates the given number of random variates.
(Inherited from ContinuousDistribution.)  
GetType  Gets the Type of the current instance. (Inherited from Object.)  
Hazard 
Computes the hazard function.
(Overrides ContinuousDistributionHazard(Double).)  
InverseLeftProbability 
Returns the point at which the cumulative distribution function attains a given value.
(Overrides ContinuousDistributionInverseLeftProbability(Double).)  
InverseRightProbability 
Returns the point at which the right probability function attains the given value.
(Overrides ContinuousDistributionInverseRightProbability(Double).)  
LeftProbability 
Returns the cumulative probability to the left of (below) the given point.
(Overrides ContinuousDistributionLeftProbability(Double).)  
ProbabilityDensity 
Returns the probability density at the given point.
(Overrides ContinuousDistributionProbabilityDensity(Double).)  
RawMoment 
Computes a raw moment of the distribution.
(Overrides ContinuousDistributionRawMoment(Int32).)  
RightProbability 
Returns the cumulative probability to the right of (above) the given point.
(Overrides ContinuousDistributionRightProbability(Double).)  
ToString  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 oneparameter distribution, determined entirely by its rate of falloff.
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 for which the hazard function changes (usually by increasing) with time.