Suppose I had a random variable, X, that followed a Gamma distribution.(adsbygoogle = window.adsbygoogle || []).push({});

A Gamma distribution can be defined as [tex] \Gamma(\alpha,\beta) [/tex], where [tex]\alpha[/tex] and [tex]\beta[/tex] are the 'scale' and 'shape' parameters.

Now suppose if [tex]\alpha[/tex] was a random variable, say following a binomial distribution, how would I then represent the distribution of X.

I was thinking that since the parameter [tex]\alpha[/tex] now represents a random variable, the distribution of X, would simply be a binomial distribution multiplied by a Gamma distribution???

Would it be correct to do this??

**Physics Forums | Science Articles, Homework Help, Discussion**

Dismiss Notice

Join Physics Forums Today!

The friendliest, high quality science and math community on the planet! Everyone who loves science is here!

The friendliest, high quality science and math community on the planet! Everyone who loves science is here!

# Deriving probability distributions

**Physics Forums | Science Articles, Homework Help, Discussion**