Department of Statistics, Kumaon University, Nainital, (Uttaranchal).
Assuming that the knowledge of coefficient of variation is available, a product type estimator was proposed by Singh and Upadhyay (1986). The present paper discusses the concept of limited invariance. Thereafter following Vos (1980) efficient generalizations of product estimators are proposed. Efficiency comparisons are based on computer - aided empirical studies with Monte - Carlo simulation sampling with hypothetical bivariate normal population.
Mean Square Error (MSE), Relative efficiency, Coefficient of Variation, Empirical probability, Simulation
