A robust alternative to the ratio estimator under non-normality

作者：Oral Evrim; Oral Ece

来源：Statistics & Probability Letters, 2011, 81(8): 930-936.

DOI：10.1016/j.spl.2011.03.040

• Ratio-type estimators
• Simple random sampling
• Order statistics
• Non-normality
• Robustness

In sampling theory, the traditional ratio estimator is the most common estimator of the population mean when the correlation between study and auxiliary variables is positively high. We introduce a new ratio-type estimator based on the order statistics of a simple random sample. We show that this new estimator is considerably more efficient than the traditional ratio estimator under non-normality, and remarkably robust to data anomalies such as presence of outliers in data sets.

• 出版日期2011-8