IMPROVED MODIFIED RATIO ESTIMATOR FOR ESTIMATING POPULATION MEAN IN DOUBLE SAMPLING USING INFORMATION ON AUXILIARY ATTRIBUTE
No Thumbnail Available
Date
2019
Authors
Journal Title
Journal ISSN
Volume Title
Publisher
Anale. Seria Informatică
Abstract
This paper proposes a modified family of
ratio estimator of population mean using information on
auxiliary attribute and the estimation of population mean
in double sampling in ratio form. The proposed modified
ratio estimator is a family of estimator which results to
different estimators at different value of alpha. For the
proposed estimator, when 𝛼 = 0, 0.5 and 1, the
estimators of Naik and Gupta (1996), Nirmala Sawan
(2010) and Sample mean were recovered respectively.
When the auxiliary attribute is a variable, the estimator
result to that of Subhash et al. (2016). When α = 0 and
the auxiliary attribute is a variable, it results to
conventional double sampling. The expression for the
Bias, and Mean Square Error of the proposed modified
estimator were obtained up to the first order of
approximation. An efficiency comparison of both the
theoretical and empirical was carried out with some
related existing estimators in double sampling. It has been
established that the proposed modified ratio estimator is
more efficient when compared with the existing ones at
optimum value of alpha
Description
Keywords
ratio estimator, bias, mean square error and double sampling