Exponential distribution

related topics
{math, number, function}
{rate, high, increase}
{math, energy, light}
{system, computer, user}
{day, year, event}
{specie, animal, plant}
{school, student, university}
{household, population, female}

In probability theory and statistics, the exponential distribution (a.k.a. negative exponential distribution) is a family of continuous probability distributions. It describes the time between events in a Poisson process, i.e. a process in which events occur continuously and independently at a constant average rate.

Note that the exponential distribution is not the same as the class of exponential families of distributions, which is a large class of probability distributions that includes the exponential distribution as one of its members, but also includes the normal distribution, binomial distribution, gamma distribution, Poisson, and many others.

Contents

Characterization

Probability density function

The probability density function (pdf) of an exponential distribution is

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