Exponential distribution
The exponential distribution with rate [math]\displaystyle{ \lambda }[/math], written [math]\displaystyle{ \operatorname{Exp}(\lambda) }[/math],[1] is a probability distribution defined only on the positive real numbers. It is the continuous analogue of geometric distribution.[2] Exponential distribution is used in reliability applications,[3] and its main use is to assess the duration of random time intervals. Examples where it can be used include:
- Time length of a telephone call
- How long does it take to perform a service (for example, to fix something at a service point)
- Amount of time between two phone calls
- Half life of atoms (radioactive decay)
- Expected lifetime of electronic (or other) parts, if wearing is not considered (this is called Mean Time Between Failures, MTBF)
- Age of plants or animals
- Very simple model used by insurance companies
Exponential Distribution Media
plot of the probability density function of the exponential distribution
Cumulative distribution function
The mean is the probability mass centre, that is, the first moment.
The median is the preimage F−1(1/2).
Tukey criteria for anomalies.[source?]
Related pages
References
- ↑ List of Probability and Statistics Symbols (in en-US). Math Vault (2020-04-26). Retrieved 2020-09-22.
- ↑ Weisstein, Eric W.. Exponential Distribution (in en). mathworld.wolfram.com. Retrieved 2020-09-22.
- ↑ 1.3.6.6.7. Exponential Distribution. itl.nist.gov. Retrieved 2020-09-22.