Claim count distribution
= Claim count distribution
{title2=$p_n=\mathbb P(N=n)$}
The <probability distribution> of the nonnegative integer number of claims over a specified accounting period. Its <probability generating function> determines the count probabilities. A <Poisson distribution> gives equal count <expected value> and <variance>; a <Poisson mixture> allows heterogeneity in the underlying risk intensity.