Revision as of 21:45, 14 March 2006 edit Michael Hardy (talk \| contribs) Administrators 210,577 edits No edit summary ← Previous edit		Revision as of 21:46, 14 March 2006 edit undo Michael Hardy (talk \| contribs) Administrators 210,577 edits No edit summary Next edit →
Line 5: wherever this expectation exists. The factorial moment generating function generates the [[factorial moment\|factorial moments]] of the [[probability distribution]]. Provided the factorial moment generating function exists in an interval around ''t'' = 1, the ~~nth~~''n''th moment is given by ::<math>E\left((xX)_n\right)=M_X^{(n)}(1)=\left.\frac{\mathrm{d}^n}{\mathrm{d}t^n}\right\|_{t=1} M_X(t).</math> ==Example==

Factorial moment generating function: Difference between revisions