Abstract
This study is concerned with construction of the generalized multivariate exponential estimator for estimating a population mean vector in the two-phase sampling using multi-auxiliary variables when population information for some auxiliary variables is not available. The optimum conditions which provide the matrix of minimum variance–covariance are obtained for the suggested estimator. Further, a vector of the biases is also provided. Some deduced univariate and multivariate estimators are also shown as special cases of the suggested multivariate exponential estimator. The simulation study is conducted using the artificial symmetric and asymmetric distributions to show that the suggested multivariate estimator performs more efficiently than the existing multivariate estimator. Two real-life examples are used to show the usefulness of the proposed multivariate estimators.
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Sanaullah, A., Ayaz, A. & Hanif, M. A Multivariate Exponential Estimator for Vector of Population Means in Two-Phase Sampling. Proc. Natl. Acad. Sci., India, Sect. A Phys. Sci. 90, 647–659 (2020). https://doi.org/10.1007/s40010-019-00633-4
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DOI: https://doi.org/10.1007/s40010-019-00633-4