# Sufficient Statistic

A quantity \(t(y)\) which is a function of the data \(y\) is a sufficient statistic for \(\theta\) if the likelihood for \(\theta\) depends on the data \(y\) only through \(t(y)\).

A quantity \(t(y)\) which is a function of the data \(y\) is a sufficient statistic for \(\theta\) if the likelihood for \(\theta\) depends on the data \(y\) only through \(t(y)\).