29.01.2015 Views

Modélisation stochastique, Processus stochastiques - Dr Stephan ...

Modélisation stochastique, Processus stochastiques - Dr Stephan ...

Modélisation stochastique, Processus stochastiques - Dr Stephan ...

SHOW MORE
SHOW LESS

You also want an ePaper? Increase the reach of your titles

YUMPU automatically turns print PDFs into web optimized ePapers that Google loves.

Rappel : Variables aléatoires<br />

Outline<br />

Définitions<br />

<strong>Processus</strong><br />

<strong>stochastique</strong>s<br />

discrets<br />

<strong>Processus</strong><br />

<strong>stochastique</strong>s<br />

continus<br />

Exemple : Pièce de monnaie soit jetée trois fois.<br />

X(ω) : Nombre de faces.<br />

Ω = {FFF, FFP, FPF, PFF, FPP, PFP, PPF, PPP}<br />

Pour chaque issue ω ∈ Ω, X(ω) ∈ {0, 1, 2, 3}.<br />

on a<br />

X({PPP}) = 0<br />

X({FPP}) = X({PFP}) = X({PPF}) = 1<br />

X({FFP}) = X({FPF}) = X({PFF}) = 2<br />

X({FFF}) = 3<br />

3 / 54<br />

<strong>Stephan</strong> Robert, HEIG-Vd<br />

Modélisation <strong>stochastique</strong>, <strong>Processus</strong> <strong>stochastique</strong>s

Hooray! Your file is uploaded and ready to be published.

Saved successfully!

Ooh no, something went wrong!