Logarithmic Ratio and Product-type Estimators of Population Mean

  • Authors

    • Chinyeaka Hostensia Izunobi Federal University of Technology, Owerri
    • Aloysius Chijioke Onyeka Federal University of Technology, Owerri
    2019-11-21
    https://doi.org/10.14419/ijasp.v7i2.26943
  • Auxiliary information, exponential, logarithmic, product, ratio estimators.

  • Abstract

    Based on the natural logarithm of known population mean of an auxiliary
    variable, x, the study introduces logarithmic ratio and product-type estimators
    of the population mean of the study variable, y, in simple random sampling
    without replacement (SRSWOR) scheme. Part of the eciency conditions for
    the proposed logarithmic estimators to be more ecient than the existing ex-
    ponential ratio and product-type estimators, as well as the customary ratio and
    product-type estimators, is that the natural logarithm of the known population
    mean of the auxiliary variable, x, must be greater than 2. Generally, there is a
    high tendency for the proposed logarithmic estimators to be more ecient than
    existing customary and exponential ratio and product-type estimators when
    the natural logarithm of the auxiliary variable population mean is greater than
    2. The theoretical results are illustrated and conrmed using some numerical
    datasets.

  • References

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  • Received date: 2019-01-31

    Accepted date: 2019-04-18

    Published date: 2019-11-21