analistica/slides/sections/6.md

Landau sample

Sample

Sample N = 50'000 random points following L(x)

  L(x) = \frac{1}{\pi} \int \limits_{0}^{+ \infty}
         dt \, e^{-t \ln(t) -xt} \sin (\pi t)

Compatiblity results:

Median:

:::: {.columns} ::: {.column width=50%}

• t = 0.761
• $p = 0.446$ :::

::: {.column width=50%}

$$
\thus \text{Compatible!}

::: ::::

\vspace{10pt}

. . .

Mode:

:::: {.columns} ::: {.column width=50%}

• t = 1.012
• $p = 0.311$ :::

::: {.column width=50%}

$$
\thus \text{Compatible!}

::: ::::

\vspace{10pt}

. . .

FWHM:

:::: {.columns} ::: {.column width=50%}

• t=0.495
• $p=0.620$ :::

::: {.column width=50%}

$$
\thus \text{Compatible!}

::: ::::