Share
Explore BrainMass

LAMDA

Suppose X1,...Xn are independently and identically distributed Posiion (lamda)random variables. Let LAMDA denot the MLE of lamda and LAMDA(b)=X1
(a) Show that both LAMDA and LAMDA(b) are unbiased
(b) calculate the variances of LAMDA and LAMDA(b)
(c) are these estimators consistent? which is the better estimator?

Solution Summary

Suppose X1,...Xn are independently and identically distributed Posiion (lamda)random variables. Let LAMDA denot the MLE of lamda and LAMDA(b)=X1
(a) Show that both LAMDA and LAMDA(b) are unbiased
(b) calculate the variances of LAMDA and LAMDA(b)
(c) are these estimators consistent? which is the better estimator?

$2.19