Bernoulli thinning
= Bernoulli thinning
{c}
If an <event> occurs with <probability> $p$ and is independently retained with <conditional probability> $q$, its retained indicator is Bernoulli with <probability> $pq$. Applying this independently to a binomial count turns $\operatorname{Binomial}(n,p)$ into $\operatorname{Binomial}(n,pq)$.