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Statistica fine

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Steffo 2020-01-29 21:38:22 +01:00
parent d23ad69839
commit 254f0b93f2
12 changed files with 474 additions and 542 deletions

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@ -14,9 +14,6 @@ export default class Home extends Component {
<p> <p>
Appunti scritti mentre studiavo per l'esame di <a href={"http://personale.unimore.it/rubrica/contenutiad/llarocca/2019/58028/N0/N0/9999"}>Statistica ed elementi di probabilità</a> del <a href="https://www.unimore.it/didattica/mlaurea.html?ID=54">corso triennale di Informatica</a> all'<a href="https://www.unimore.it/">Unimore</a> del Prof. <a href={"http://personale.unimore.it/rubrica/dettaglio/llarocca"}>Luca La Rocca</a>. Appunti scritti mentre studiavo per l'esame di <a href={"http://personale.unimore.it/rubrica/contenutiad/llarocca/2019/58028/N0/N0/9999"}>Statistica ed elementi di probabilità</a> del <a href="https://www.unimore.it/didattica/mlaurea.html?ID=54">corso triennale di Informatica</a> all'<a href="https://www.unimore.it/">Unimore</a> del Prof. <a href={"http://personale.unimore.it/rubrica/dettaglio/llarocca"}>Luca La Rocca</a>.
</p> </p>
<p>
<Todo>TODO: è ancora incompleto!</Todo>
</p>
</Panel> </Panel>
<Panel title={<a href="https://github.com/Steffo99/cleaver">Cleaver</a>}> <Panel title={<a href="https://github.com/Steffo99/cleaver">Cleaver</a>}>
<p> <p>

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@ -714,9 +714,6 @@ export default class Statistica extends Component {
<p> <p>
<Latex>{r`E(X) = \overline{k} \cdot P(X < k) + k \cdot P(X \geq k)`}</Latex> <Latex>{r`E(X) = \overline{k} \cdot P(X < k) + k \cdot P(X \geq k)`}</Latex>
</p> </p>
<p>
<Todo>TODO: Ha senso questa minidimostrazione?</Todo>
</p>
</Panel> </Panel>
<Panel title={"Disuguaglianza di Čebyšëv"}> <Panel title={"Disuguaglianza di Čebyšëv"}>
<blockquote> <blockquote>
@ -1750,9 +1747,6 @@ export default class Statistica extends Component {
<p> <p>
<Latex>{`\\forall \\epsilon > 0, \\lim_{n \\to +\\infty} P( | X_n - X | < \\epsilon) = 1 \\implies X_n \\xrightarrow{p} X`}</Latex> <Latex>{`\\forall \\epsilon > 0, \\lim_{n \\to +\\infty} P( | X_n - X | < \\epsilon) = 1 \\implies X_n \\xrightarrow{p} X`}</Latex>
</p> </p>
<p>
<Todo>TODO: non sono certissimo della definizione</Todo>
</p>
</Panel> </Panel>
<Panel title={"Convergenza quasi certa"}> <Panel title={"Convergenza quasi certa"}>
<p> <p>
@ -1761,9 +1755,6 @@ export default class Statistica extends Component {
<p> <p>
<Latex>{`\\forall \\epsilon > 0, P \left( \\lim_{n \\to +\\infty} | X_n - X | < \\epsilon) \right) = 1 \\implies X_n \\xrightarrow{qc} X`}</Latex> <Latex>{`\\forall \\epsilon > 0, P \left( \\lim_{n \\to +\\infty} | X_n - X | < \\epsilon) \right) = 1 \\implies X_n \\xrightarrow{qc} X`}</Latex>
</p> </p>
<p>
<Todo>TODO: non sono certissimo della definizione</Todo>
</p>
</Panel> </Panel>
<Panel title={"Convergenza in media quadratica"}> <Panel title={"Convergenza in media quadratica"}>
<p> <p>
@ -1939,9 +1930,6 @@ export default class Statistica extends Component {
<p> <p>
<Latex>{r`\forall \epsilon > 0, \lim_{n \to +\infty} P( |T_n - \theta| < \epsilon) = 1`}</Latex> <Latex>{r`\forall \epsilon > 0, \lim_{n \to +\infty} P( |T_n - \theta| < \epsilon) = 1`}</Latex>
</p> </p>
<p>
<Todo>TODO: verificare che la mia modifica sia corretta</Todo>
</p>
</Panel> </Panel>
<Panel title={"Asintoticamente normale"}> <Panel title={"Asintoticamente normale"}>
<p> <p>