Exponential distribution: Difference between revisions
Jump to navigation
Jump to search
imported>Subpagination Bot m (Add {{subpages}} and remove any categories (details)) |
mNo edit summary |
||
(One intermediate revision by one other user not shown) | |||
Line 1: | Line 1: | ||
{{subpages}} | {{subpages}} | ||
The '''[[exponential distribution|exponential distribution]]''' is any member of a class of [[continuous probability distribution|continuous probability distributions]] assigning probability | The '''[[exponential distribution|exponential distribution]]''' is any member of a class of [[continuous probability distribution|continuous probability distributions]] assigning probability | ||
Line 21: | Line 20: | ||
for ''x'' ≥ 0. Then ''X'' follows the exponential distribution with parameter <math>\lambda</math>. | for ''x'' ≥ 0. Then ''X'' follows the exponential distribution with parameter <math>\lambda</math>. | ||
==See also== | ==See also== | ||
Line 32: | Line 29: | ||
*[[Poisson distribution]] | *[[Poisson distribution]] | ||
== | ==References== | ||
{{reflist}}[[Category:Suggestion Bot Tag]] |
Latest revision as of 17:00, 14 August 2024
![](http://s9.addthis.com/button1-share.gif)
The exponential distribution is any member of a class of continuous probability distributions assigning probability
to the interval [x, ∞), for x ≥ 0.
It is well suited to model lifetimes of things that don't "wear out", among other things.
The exponential distribution is one of the most important elementary distributions.
A basic introduction to the concept
The main and unique characteristic of the exponential distribution is that the conditional probabilities satisfy P(X > x + s | X > x) = P(X > s) for all x, s ≥ 0.
Formal definition
Let X be a real, positive stochastic variable with probability density function
for x ≥ 0. Then X follows the exponential distribution with parameter .