Exponential Distribution:
The exponential distribution is a one-sided distribution completely specified by one parameter r > 0; the density of this distribution is
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The mean of the exponential distribution is 1/r.
The exponential distribution is a model for the length of intervals between two consecutive random events in time, or between a given point and the next nearest point. In this case r is the rate of events - that is, the average number of events per a unit interval. (For details on what "random events" means here see Poisson process.
An important property of the exponential distribution is
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Because of this property, the exponential distribution is also referred to as a ´memory-less distribution´. One of the applications of the exponential distribution is in queuing theory.
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