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- Hyperexponential_distribution abstract "In probability theory, a hyperexponential distribution is a continuous probability distribution whose probability density function of the random variable X is given bywhere each Yi is an exponentially distributed random variable with rate parameter λi, and pi is the probability that X will take on the form of the exponential distribution with rate λi. It is named the hyper-exponential distribution since its coefficient of variation is greater than that of the exponential distribution, whose coefficient of variation is 1, and the hypoexponential distribution, which has a coefficient of variation less than one. While the exponential distribution is the continuous analogue of the geometric distribution, the hyper-exponential distribution is not analogous to the hypergeometric distribution. The hyper-exponential distribution is an example of a mixture density.An example of a hyper-exponential random variable can be seen in the context of telephony, where, if someone has a modem and a phone, their phone line usage could be modeled as a hyper-exponential distribution where there is probability p of them talking on the phone with rate λ1 and probability q of them using their internet connection with rate λ2.".
- Hyperexponential_distribution thumbnail Hyperexponential.svg?width=300.
- Hyperexponential_distribution wikiPageID "3520536".
- Hyperexponential_distribution wikiPageRevisionID "585383705".
- Hyperexponential_distribution subject Category:Continuous_distributions.
- Hyperexponential_distribution subject Category:Probability_distributions.
- Hyperexponential_distribution comment "In probability theory, a hyperexponential distribution is a continuous probability distribution whose probability density function of the random variable X is given bywhere each Yi is an exponentially distributed random variable with rate parameter λi, and pi is the probability that X will take on the form of the exponential distribution with rate λi.".
- Hyperexponential_distribution label "Hyperexponential distribution".
- Hyperexponential_distribution label "Hyperexponentiële verdeling".
- Hyperexponential_distribution label "Loi hyper-exponentielle".
- Hyperexponential_distribution label "Гиперэкспоненциальное распределение".
- Hyperexponential_distribution sameAs Loi_hyper-exponentielle.
- Hyperexponential_distribution sameAs Hyperexponentiële_verdeling.
- Hyperexponential_distribution sameAs m.09j3gl.
- Hyperexponential_distribution sameAs Q3258517.
- Hyperexponential_distribution sameAs Q3258517.
- Hyperexponential_distribution wasDerivedFrom Hyperexponential_distribution?oldid=585383705.
- Hyperexponential_distribution depiction Hyperexponential.svg.
- Hyperexponential_distribution isPrimaryTopicOf Hyperexponential_distribution.
