Logarithmic Ratio and Product-type Estimators of Population Mean

作者：Chinyeaka Hostensia Izunobi, Aloysius Chijioke Onyeka · 发表于：International Journal of Advanced Statistics and Probability · 年份：2019 · DOI：10.14419/ijasp.v7i2.26943 · 被引用次数：10 · 研究领域：Survey Sampling and Estimation Techniques

Based on the natural logarithm of known population mean of an auxiliaryvariable, x, the study introduces logarithmic ratio and product-type estimatorsof the population mean of the study variable, y, in simple random samplingwithout replacement (SRSWOR) scheme. Part of the eciency conditions forthe proposed logarithmic estimators to be more ecient than the existing ex-ponential ratio and product-type estimators, as well as the customary ratio andproduct-type estimators, is that the natural logarithm of the known populationmean of the auxiliary variable, x, must be greater than 2. Generally, there is ahigh tendency for the proposed logarithmic estimators to be more ecient thanexisting customary and exponential ratio and product-type estimators whenthe natural logarithm of the auxiliary variable population mean is greater than2. The theoretical results are illustrated and conrmed using some numericaldatasets.