# Math Help - MGF transform

1. ## MGF transform

Just got out of my stats final. Question.

Suppose $Z\sim -\frac{1}{h}e^{-\frac{z}{h}}.$

How do I find the MGF, $M_{\frac{1}{Z}}?$

Do I have to transform $Z,$ then use the definition of MGF? Or, is there some slick trick I'm missing here?

2. Hello,

What is -1/h e(-z/h) ? Is it supposed to be a pdf ? Because it's negative !
And what is h ? And where is this - supposed to be - pdf defined ?

3. Originally Posted by Moo
Hello,

What is -1/h e(-z/h) ? Is it supposed to be a pdf ? Because it's negative !
And what is h ? And where is this - supposed to be - pdf defined ?
Hi!

The pdf was some funky exponential looking thing. I may not be remembering it correctly.

For definiteness lets just consider it to be:

$Z\sim exp{(\frac{1}{h})}.$

Now how to find $M_{\frac{1}{Z}}?$

Thanks.