Problem of Meeting of N of Fuzzy Linear Objects

Abstract

Many estimation techniques in sample surveys depend on auxiliary information available for the entire population. If such information is unavailable then one can use two-phase sampling. Motivated from Naik and Gupta,11 several ratio type estimators in two-phase sampling using two auxiliary variables are presented. To the first order of approximation, their biases and MSEs are obtained and, also, the conditions under which they become efficient are obtained. A simulation study is conducted in order to compare the relative efficiency of the proposed estimators with the estimators available in the literature.