Let be i.i.d. random variables having (for a fi ed θ) the Laplace density, that is, Considering the absolute error loss function and within the class of translation-equivariant estimators of θ, fin...

Let

be i.i.d. random variables having (for a fi ed θ) the Laplace density, that is,

Considering the absolute error loss function and within the class of translation-equivariant estimators of θ, fin the MRE.

Let X = (X₁,...,X_n) with each X_i
having the exponential density

Consider the class of scale-equivariant estimators and a loss function of the form

where p is either 1 or 2. Obtain the scale-equivariant MRE under both loss functions.