In probability theory the hypoexponential distribution or the generalized Erlang distribution is a continuous distribution, that has found use in the same fields as the Erlang distribution, such as queueing theory, teletraffic engineering and more generally in stochastic processes. It is called the hypoexponetial distribution as it has a coefficient of variation less than one, compared to the hyper-exponential distribution which has coefficient of variation greater than one and the exponential distribution which has coefficient of variation of one.

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  • In probability theory the hypoexponential distribution or the generalized Erlang distribution is a continuous distribution, that has found use in the same fields as the Erlang distribution, such as queueing theory, teletraffic engineering and more generally in stochastic processes. It is called the hypoexponetial distribution as it has a coefficient of variation less than one, compared to the hyper-exponential distribution which has coefficient of variation greater than one and the exponential distribution which has coefficient of variation of one. (en)
  • En théorie des probabilités et en statistique, la loi hypo-exponentielle ou loi d'Erlang généralisée est une loi de probabilité continue, à support semi-infini qui trouve des applications dans les mêmes domaines que la loi d'Erlang : théorie des files d'attente, ingénierie de trafic, etc. Le terme hypo vient du fait que le coefficient de variation de la loi est inférieur à un, comparativement à la loi hyper-exponentielle dont le coefficient de variation est supérieur à un et à la loi exponentielle dont le coefficient vaut un. Une variable aléatoire qui suit une loi hypo-exponentielle sera notée : . (fr)
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dbp:cdf
  • Expressed as a phase-type distribution (en)
dbp:kurtosis
  • no simple closed form (en)
dbp:median
  • General closed form does not exist (en)
dbp:mode
  • if , for all k (en)
dbp:name
  • Hypoexponential (en)
dbp:parameters
  • rates (en)
dbp:pdf
  • Expressed as a phase-type distribution (en)
  • Has no other simple form; see article for details (en)
dbp:type
  • density (en)
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  • In probability theory the hypoexponential distribution or the generalized Erlang distribution is a continuous distribution, that has found use in the same fields as the Erlang distribution, such as queueing theory, teletraffic engineering and more generally in stochastic processes. It is called the hypoexponetial distribution as it has a coefficient of variation less than one, compared to the hyper-exponential distribution which has coefficient of variation greater than one and the exponential distribution which has coefficient of variation of one. (en)
  • En théorie des probabilités et en statistique, la loi hypo-exponentielle ou loi d'Erlang généralisée est une loi de probabilité continue, à support semi-infini qui trouve des applications dans les mêmes domaines que la loi d'Erlang : théorie des files d'attente, ingénierie de trafic, etc. Le terme hypo vient du fait que le coefficient de variation de la loi est inférieur à un, comparativement à la loi hyper-exponentielle dont le coefficient de variation est supérieur à un et à la loi exponentielle dont le coefficient vaut un. (fr)
rdfs:label
  • Hypoexponential distribution (en)
  • Loi hypo-exponentielle (fr)
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