The invariant property of maximum likelihood estimators.
Fancher, Allen P.
Zehna, Peter W.
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Classically, the invariant property of maximum likelihood estimators has been limited by one-to-one restrictions on the transformation. This thesis defines the Induced Likelihood Function and develops a theorem which may be used to extend the invariant property to estimation problems where the one-to-one restriction is dropped. It is shown that the theorem is applicable to the k dimensional estimation problem.
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