Asymptotic Efficiency of Statistical Estimators: Concepts and Higher Order Asymptotic Efficiency

Asymptotic Efficiency of Statistical Estimators: Concepts and Higher Order Asymptotic Efficiency

Concepts and Higher Order Asymptotic Efficiency

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This monograph is a collection of results recently obtained by the authors. Most of these have been published, while others are awaitlng publication. Our investigation has two main purposes. Firstly, we discuss higher order asymptotic efficiency of estimators in regular situa tions. In these situations it is known that the maximum likelihood estimator (MLE) is asymptotically efficient in some (not always specified) sense. However, there exists here a whole class of asymptotically efficient estimators which are thus asymptotically equivalent to the MLE. It is required to make finer distinctions...