EFFICIENT CLASSES OF RATIO-CUM-PRODUCT ESTIMATORS OF
POPULATION MEAN IN STRATIFIED RANDOM SAMPLING
Gajendra K. Vishwakarma
Manish Kumar
Abstract: In this paper, classes of separate and combined ratio-product estimators are proposed
for estimating the finite population mean in stratified random sampling. The expressions for
biases and mean squared errors (MSEs) of the proposed classes are derived to the first order
of approximation. It is also verified that the proposed classes of estimators, under their
optimum conditions, are equivalent to the separate regression estimator. The proposed
classes of estimators are compared with the other existing estimators by using the
MSE criterion, and the conditions under which the proposed classes perform better
are obtained. Theoretical results are validated with the help of an empirical study.
2010 AMS Mathematics Subject Classification: Primary: 62D05; Secondary:
62F10.
Keywords and phrases: Study variable, auxiliary variable, stratified random sampling,
population mean, bias, MSE.