Claim count (source code)

= Claim count
{title2=$N\in\{0,1,2,\ldots\}$}

The number of insurance claims in a specified exposure period. Its <probability generating function> combines with the <moment-generating function> of an independent <claim size> through the <random-sum transform identity>. A <Poisson distribution>, <geometric distribution>, or <negative binomial distribution> provides a possible count model, with different dispersion and zero-claim <probabilities>.