Factorial moment generating function: Difference between revisions

Content deleted Content added
No edit summary
No edit summary
Line 9:
::<math>E\left((x)_n\right)=M_X^{(n)}(1)=\left.\frac{\mathrm{d}^n}{\mathrm{d}t^n}\right|_{t=1} M_X(t).</math>
 
==Example, ==
Suppose ''X'' has a [[Poisson distribution]] with [[expected value]] &lambda;, then the factorial moment generating function of ''X'' is