A multivariate regression-cum-exponential estimator for population variance vector in two phase sampling

In this study we have proposed a multivariate regression-cum-exponential type estimator for estimating a vector of population variance. In the present study, unknown population variance vector estimation has been discussed using multi-auxiliary variables in two-phase sampling and different cases have also been derived. A comparison between existing and the proposed multivariate, bivariate and univariate estimators has been prepared with the help of a real data for estimating population variance. A simulation study for multivariate estimator using multi-auxiliary variables has also been carried out to demonstrate the performance of the estimators.