PropertiesTableExp.tex

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\begin{table*}[t!]
\caption[Exponential distribution -- Properties]{Properties of the exponential distribution}
\begin{align*}
\text{\hyperref[PropertiesSec]{Properties}}  \quad& \\
\text{notation} \quad & \op{Exp}(x\given a,\theta)					\checked
\\
\text{PDF}\quad &    \frac{1}{|\theta|} \exp\Left\{-\frac{x-a}{\theta}\Right\} 	\checked
\\
\text{CDF}\big  / \text{CCDF}  \quad  &   1- \exp\Left\{-\frac{x-a}{\theta}\Right\} & \theta>0 \ \big{/} \  \theta<0
\checked
\\
\text{parameters}\quad &   a,\ \theta, \text{ in } \Real 				\checked
\\
\text{support} \quad &   [ a, +\infty]      & \theta>0					\checked
\\
				&   [-\infty,  a]     & \theta <0					\checked
\\
\text{median} \quad  &  a + \theta \ln 2							\checked
\\
\text{mode} \quad  & a										\checked
\\
\text{mean} \quad  &  a+ \theta									\checked						
\\
\text{variance} \quad  & \theta^2								\checked
\\
\text{skew} \quad  &  \op{sgn}(\theta)\ 2										\checked
\\
\text{ex. kurtosis} \quad  &  6										\checked
\\
\text{entropy} \quad  & 1 + \ln |\theta|							\checked
\\
\text{MGF} \quad  & \frac{\exp(at) }{ \Left(1- \theta t\Right)}				\checked
\\
\text{CF} \quad  & \frac{\exp(iat) }{ \Left(1- i \theta t\Right)}				\checked
\end{align*}
\end{table*}