Problems: Assignment 6
are iid 
and
are iid 
.
and 
.
. Find UMVUE's of
and of 
. (You have already found
the UMVUE for 
.)
and 
are unknown but that you
know that 
. Prove there is no UMVUE for 
.
(Hint: Find the UMVUE if you knew 
with a known.
Use the fact that the solution depends on a to finish the proof.)
iid Poisson( 
). Find the
UMVUE for 
and for 
.
be the error sum of squares in the ith cell in the
question 5 of Assignment 5.
.
of the form 
in the sense of mean squared error.
are observed what is the MLE of 
?
for the usual one-way layout model,
that is, the model of the last two questions.
are iid with density
are the minimal sufficient statistics show
that setting 
and solving gives the
likelihood equations. (Note the connection to the method of moments.)