How To Show Estimator Is Consistent. This is a simple post showing the basic knowledge of statistics, the consistency. {\displaystyle {\underset {n\to \infty }{\operatorname {plim} }}\;t_{n}=\theta.}

Consistency you can also check if a point estimator is consistent by looking at its corresponding expected value and variance. For bernoulli distribution, y ∼ b ( n, p) , p ^ = y / n is a consistent estimator of p , because: It is satisfactory to know that an estimator θˆwill perform better and better as we obtain more examples.