Square-Root and Cube-Root Estimators. The Developments in Sample Survey Theory
TEXAS A AND M UNIV COLLEGE STATION
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When the situation arises that the population being sampled is known, a priori, to have characteristics that place it in a more restricted category, the question rightly may be asked as to whether the condition of uniform unbiasedness might not be dropped and the bias and variance be combined into a single measure of mean square error. The purpose of the research is to investigate a class of estimators, which shall be called root estimators, that will usually have smaller mean square error than the arithmetic mean for certain classes of populations.
- Statistics and Probability