Exponential distribution

probability distribution From Wikipedia, the free encyclopedia

Exponential distribution
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The exponential distribution with rate , written ,[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
Thumb
Typical exponential distribution curves
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