slides: various fixes

This commit is contained in:
Michele Guerini Rocco 2020-06-12 00:51:18 +02:00
parent 8b781c599a
commit 41119ee9f2
4 changed files with 12 additions and 10 deletions

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@ -20,8 +20,8 @@ mainfontoptions:
mathfont: FiraMath-Regular mathfont: FiraMath-Regular
references: references:
- type: article-journal - id: trapani15
id: trapani15 type: article-journal
author: author:
family: Trapani family: Trapani
given: Lorenzo given: Lorenzo
@ -29,15 +29,14 @@ references:
container-title: Journal of Econometrics container-title: Journal of Econometrics
issued: issued:
year: 2015 year: 2015
- type: book - id: silver86
id: silver86 type: book
author: author:
family: Silverman family: Silverman
given: Bernard W. given: Bernard W.
title: Density Estimation for Statistics and Data Analysis title: Density Estimation for Statistics and Data Analysis
issued: issued:
year: 1986 year: 1986
- id: robertson74 - id: robertson74
type: article-journal type: article-journal
author: author:

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@ -81,18 +81,18 @@ utilized as an approximation of the former.
. . . . . .
- **Properties test**: - **Properties test**
compatibility between expected and observed PDF properties compatibility between expected and observed PDF properties
. . . . . .
- **Kolmogorov - Smirnov test**: - **Kolmogorov - Smirnov test**
compatibility between expected and empirical CDF compatibility between expected and empirical CDF
. . . . . .
- **Trapani test**: - **Trapani test**
test for finite or infinite moments test for finite or infinite moments

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@ -29,6 +29,8 @@ How to estimate sample median, mode and FWHM?
\End{block} \End{block}
. . .
\setbeamercovered{} \setbeamercovered{}
\begin{center} \begin{center}
\begin{tikzpicture}[remember picture, >=Stealth] \begin{tikzpicture}[remember picture, >=Stealth]
@ -139,7 +141,7 @@ How to estimate sample median, mode and FWHM?
\begin{center} \begin{center}
\begin{tikzpicture}[remember picture, overlay] \begin{tikzpicture}[remember picture, overlay]
% region % region
\draw [cyclamen, ultra thick] (f1) -- (f2); \draw [ultra thick] (f1) -- (f2);
\end{tikzpicture} \end{tikzpicture}
\end{center} \end{center}

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@ -145,7 +145,8 @@ $$
If $a_j$ uniformly distributed: If $a_j$ uniformly distributed:
- $\zeta_j (u)$ Bernoulli PDF with $P\left( \zeta_j (u) = 1 \right) = \frac{1}{2}$ - $\zeta_j (u)$ Bernoulli PDF with $P\left( \zeta_j (u) = 1 \right) = \frac{1}{2}$
$\hence E[\zeta_j]_j = \frac{1}{2} \quad \wedge \quad V[\zeta_j]_j = \frac{1}{4}$ $\hence \text{E}[\zeta_j]_j = \frac{1}{2}
\quad \wedge \quad \text{Var}[\zeta_j]_j = \frac{1}{4}$
## Trapani test ## Trapani test