How To Determine If Something Is An Unbiased Estimator. In this video, we discuss a trait that is desirable in point estimators. The bias of point estimator θ ^ is defined by.
We can easily see that e ( c) = e ( 2 y + y 2) = 3 λ + λ 2. That's why it makes sense to ask if e ( θ ^) = θ (because the left side is the expectation of a random variable, the right side is a constant). Note that it is not true in general that a consistent estimator is asymptotically unbiased in the sense that $\mathbb e t_n \to \theta$ even when.
