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RESEARCH PRODUCT

Finite Sample Efficiency and Drawbacks: An Illustration

Andrew Musau

subject

Mathematical optimizationEfficiencyStein's unbiased risk estimateEstimatorSample (statistics)Class (philosophy)U-statisticMathematics

description

Historically, finite-sample efficiency was the first notion of optimality introduced and it is still encountered in introductory statistics texts. The definition has several drawbacks however, one being that it is restricted to the class of unbiased estimators. An example is given to illustrate this.

https://doi.org/10.2139/ssrn.1745125