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Inverse Gamma Distribution
Statistics - Inverse Gamma Distribution
Inverse Gamma Distribution is a reciprocal of gamma probabipty density function with positive shape parameters $ {alpha, eta } $ and location parameter $ { mu } $. $ {alpha } $ controls the height. Higher the $ {alpha } $, taller is the probabipty density function (PDF). $ {eta } $ controls the speed. It is defined by following formula.
Formula
${ f(x) = frac{x^{-(alpha+1)}e^{frac{-1}{eta x}}}{ Gamma(alpha) eta^alpha} \[7pt] , where x gt 0 }$
Where −
${alpha}$ = positive shape parameter.
${eta}$ = positive shape parameter.
${x}$ = random variable.
Following diagram shows the probabipty density function with different parameter combinations.
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