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Log Gamma Distribution is a probability density function with positive shape parameters $ {alpha, beta } $ and location parameter $ { mu } $. It is defined by following formula.
Formula
${ f(x) = frac{e^{beta x}e^{frac{-e^x}{alpha}}}{ alpha^beta Gamma(beta)} \[7pt]
, where -infty gt x lt infty }$
Where −
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${alpha}$ = positive shape parameter.
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${beta}$ = positive shape parameter.
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${x}$ = random variable.
Following diagram shows the probability density function with three different parameter combinations.
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