In Auburngrads/teachingApps: Apps for Teaching Statistics, R Programming, and Shiny App Development

Functional relationships for $\;X \sim G(p),\;\;x=1,2,...; 0<p<1$

$$ \begin{aligned} f(x|p)&=p(1-p)^{x-1}\\\\ F(x|p)&=1-(1-p)^{x}\\\\ h(x|p)&=\frac{p(1-p)^{x-1}}{(1-p)^{x-1}}=p\\\\\ E[X]&=\frac{1}{p}\\\\ Var[X]&=\frac{1-p}{p^2} \end{aligned} $$

Auburngrads/teachingApps documentation built on June 17, 2020, 4:57 a.m.