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<h3>Functional relationships for <script type="math/tex">\;T \sim EXP(\theta,\gamma),\;\;T \in [0,\infty)</script>
</h3>
$$
\\begin{aligned}
f(t|\\theta,\\gamma)&=\\frac{1}{\\theta}\\exp\\left(-\\frac{t-\\gamma}{\\theta}\\right)\\\\\\\\
F(t|\\theta,\\gamma)&=1-\\exp\\left(\\frac{t-\\gamma}{\\theta}\\right)\\\\\\\\
h(t|\\theta,\\gamma)&=\\frac{1}{\\theta}, t>\\gamma\\\\\\\\\
t_{p}&=\\gamma-\\log(1-p)\\theta\\\\\\\\
E[T]&=\\gamma+\\theta\\\\\\\\
Var[T]&=\\theta^2
\\end{aligned}
$$
