MODIFIED RATIO-CUM-PRODUCT ESTIMATORS OF POPULATION MEAN IN LINEAR SYTEMATIC SAMPLING UNDER TWO-PHASE SAMPLING SCHEME
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Date
2019
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Publisher
FUW Trends in Science & Technology Journal
Abstract
This paper is basically aimed at suggesting two modified ratio-cum-product estimators having two auxiliary
variables, under the linear systematic sampling. These suggested ratio-cum-product modified estimators under the
two-phase sampling scheme were suggested using linear transformation technique, the biases and mean squared
errors (MSEs) of the corresponding modified estimators under cases I and II were derived and established (where
Case I refers to the case whereby the second sample is drawn from the first sample and Case II refers to
the case whereby the second sample is drawn from the main population under study), the efficiency
conditions under which the two modified estimators would be more efficient than relative existing ones were
derived and established and the relative efficiency of these modified estimators were empirically determined and
established using five real life data sets which were obtained from various sources. From the results of the
empirical study using real life data sets, it was concluded that the suggested modified estimators in this study
demonstrated high relative efficiency over existing related estimators
Description
Keywords
Efficiency, finite population, mean squared error, ratio estimator, variance