slides: add plot in the Moyal PDF slide

This commit is contained in:
Michele Guerini Rocco 2020-06-12 16:05:41 +02:00
parent 59d847544e
commit 75a97810e2

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@ -1,9 +1,12 @@
# Moyal distribution
## Moyal PDF
## Moyal PDF {.b}
:::: {.columns align=center}
::: {.column width=50%}
Standard form:
$$
M(z) = \frac{1}{\sqrt{2 \pi}} \exp
@ -18,13 +21,18 @@ More generally:
- scale parameter $\sigma$
$$
z = \frac{x - \mu}{\sigma}
\thus
M_{\mu \sigma}(x) = \frac{1}{\sqrt{2 \pi} \sigma} \exp
\left[ - \frac{1}{2} \left(
\frac{x - \mu}{\sigma}
+ e^{-\frac{x - \mu}{\sigma}} \right) \right]
\left[ - \frac{1}{2} \left(
\frac{x - \mu}{\sigma}
+ e^{-\frac{x - \mu}{\sigma}} \right) \right]
$$
:::
::: {.column width=50%}
![](images/moyal-pdf.pdf)
:::
::::
## Moyal CDF