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 $\operatorname{Binomial}(n,pq)$.