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ExponentialDistribution

ExponentialDistribution[Lambda]
represents an exponential distribution with scale inversely proportional to parameter lambda.
  • The probability density for value x in an exponential distribution is proportional to ⅇ^(-lambdax) for x>0, and is zero for x<0. »
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Basic Examples   (2)
The mean and variance of an exponential distribution:
Probability density function:
The mean and variance of an exponential distribution:
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Probability density function:
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Scope   (4)
Generate a set of pseudorandom numbers that are exponentially distributed:
Properties based on higher-order moments:
Third moment of an exponential distribution:
The q^(th) quantile of an exponential distribution:
Applications   (2)
Plot the cumulative distribution function of the random variable:
A contour plot as both x and Lambda are varied:
Properties & Relations   (4)
The probability density function integrates to unity:
Moments can be obtained from the characteristic function:
ExponentialDistribution is related to WeibullDistribution through a power:
Possible Issues   (2)
ExponentialDistribution is not defined when lambda is not a positive real number:
Substitution of invalid parameters into symbolic outputs gives results that are not meaningful:
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