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fixed characteristic function of uniform distribution

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Josia Pietsch 2023-07-20 00:10:35 +02:00
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inputs/a_0_distributions.tex
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@ -51,7 +51,7 @@
$\frac{x-a}{b-a} \One_{[a,b]} + \One_{(b,\infty)}$ & $\frac{x-a}{b-a} \One_{[a,b]} + \One_{(b,\infty)}$ &
$\frac{a+b}{2}$ & $\frac{a+b}{2}$ &
$\frac{(b-a)^2}{12}$ & $\frac{(b-a)^2}{12}$ &
$\frac{e^{\i t b} - e^{\i t a}}{t (b-a)}$\footnote{$\phi_X(0) = 1$ }& $\frac{e^{\i t b} - e^{\i t a}}{\i t (b-a)}$\footnote{$\phi_X(0) = 1$ }&
$\frac{e^{t b} - e^{t a}}{t (b-a)}$\footnote{$M_X(0) = 1$}\\ $\frac{e^{t b} - e^{t a}}{t (b-a)}$\footnote{$M_X(0) = 1$}\\
Exponential & Exponential &
$\Exp(\lambda)$ & $\Exp(\lambda)$ &