!!abstract,linked gloses,internal links,content,dynamic examples,...
!set gl_author=Sophie, Lemaire
!set gl_keywords=continuous_probability_distribution
!set gl_title=
:
:
:
:
<div class="wims_defn"><h4>Definition</h4>
Let \(\lambda) be a positive real.
The <span class="wimsemph"> Poisson distribution</span> \(\mathcal{P}(\lambda))
is the probability \(q=\{q(k), k\in \NN\}) over \(\NN) defined by
<div class="wimscenter">
\(q(k) = e^{-\lambda} \frac{\lambda^k}{k!} )
for all \(k\in \NN).
</div>
</div>

<table class="wimsborder wimscenter">
<tr><th>Expectation</th><th>Variance</th><th>Characteristic function</th></tr>
<td>\(\lambda)</td><td>\(\lambda)</td><td>\(\exp(\lambda(z - 1)))
</td></tr></table>
