If I had three parameters: eta, lambda1, lambda2 
s.t. eta = (lambda1 - lambda2),
then is it true that the MLE(eta) = MLE(lambda1) - MLE(lambda2)?

Here the MLE (Maximum Likelihood Estimate) is derived from 
d(lambda1|y)/d(lambda1) = 0.
Also, assume an average sample size (not too small, not too large).

The reason I am asking this is because it is a little difficult to
manipulate the likelihood expression which is terms of lambda1 and
lambda2 to be an expression of eta.

Any help would be greatly appreciated.

-dw
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