51ºÚÁÏ

Parametrization of the gamma distribution

Some of you have noticed that characteristics (density, expectation, variance etc.) of the gamma distribution in the formula sheet (section 9c) and in our lectures/exercise classes (see e.g. slide 13/27 of Lecture 14) are different. There is no contradiction: the reason is that in the formula sheet they use a different (but equivalent) parametrization.

If, in the formula sheet, you put

beta = 1/lambda

you will obtain exactly what we had during the lectures. In particular, in the formula sheet parametrization, 

E[X] = alpha*beta,

whereas in the parametrization we used during the lectures (and which is more convenient for our course)

E[X] = alpha/lambda.

Publisert 10. juni 2022 11:17 - Sist endret 10. juni 2022 11:17