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

Functional relationships for $\;T \sim EXP(\theta,\gamma),\;\;T \in [0,\infty)$

$$ \begin{aligned} f(t|\theta,\gamma)&=\frac{1}{\theta}\exp\left(-\frac{t-\gamma}{\theta}\right)\\\\ F(t|\theta,\gamma)&=1-\exp\left(\frac{t-\gamma}{\theta}\right)\\\\ h(t|\theta,\gamma)&=\frac{1}{\theta}, t>\gamma\\\\\ t_{p}&=\gamma-\log(1-p)\theta\\\\ E[T]&=\gamma+\theta\\\\ Var[T]&=\theta^2 \end{aligned} $$

teachingApps documentation built on July 1, 2020, 5:58 p.m.