Two parameter modified ratio estimators with two auxiliary variables for the estimation of finite population mean

Abstract

information on auxiliary variables are effectively used to improve the efficiency of the simple random sampling without replacement (SRSWOR) estimator of the population mean. As the results, ratio, product and regression estimators are widely utilized in many situations, see for example Cochran1 and Murthy.2 Modified ratio estimators are developed to achieve further improvements on the ratio estimator with known parameters of the auxiliary variable, which include Sisodia & Dwivedi3 with known Co-efficient of Variation, Singh et.,4 with known Kurtosis, Yan & Tian5 with the known Skewness, Subramani and Kumarapandiyan6-9 with the known median and its linear combinations with the other known parameters. This paper deals with the two parameter modified ratio estimators with known correlation coefficient and skewness of two auxiliary variables