3 problems

Let $\mu$ be a distribution on $\mathbb{R}$, and consider estimators for the associated location family. An estimator is shift-invariant if shifting every observation by $c$ shifts…

Let $\mu$ be a distribution on $\mathbb{R}$, and let an $n$-sample estimator be a function of observations from the corresponding location family. For a fixed tolerance $\delta$, i…

Let a distribution on a compact space be given, and consider estimators evaluated by their worst-case probability of estimating the parameter within a prescribed tolerance. An esti…