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Log Gamma Distribution
  • 时间:2024-11-03

Statistics - Log Gamma Distribution


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Log Gamma Distribution is a probabipty density function with positive shape parameters $ {alpha, eta } $ and location parameter $ { mu } $. It is defined by following formula.

Formula

${ f(x) = frac{e^{eta x}e^{frac{-e^x}{alpha}}}{ alpha^eta Gamma(eta)} \[7pt] , where -infty gt x lt infty }$

Where −

    ${alpha}$ = positive shape parameter.

    ${eta}$ = positive shape parameter.

    ${x}$ = random variable.

Following diagram shows the probabipty density function with three different parameter combinations.

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