I. Olkin, “Multivariate Ratio Estimation for Finite Populations,” Biometrika, Vol. 45, No. 1-2, 1956, pp. 154-165.

has been cited by the following article:

• TITLE: Multivariate Ratio Estimator of the Population Total under Stratified Random Sampling

  AUTHORS: Oscar O. Ngesa, G. O. Orwa, R. O. Otieno, H. M. Murray

  KEYWORDS: Ratio Estimator; Stratification; Auxiliary Variables; Lagrange’s Multiplier

  JOURNAL NAME: Open Journal of Statistics, Vol.2 No.3, June 29, 2012

  ABSTRACT: Olkin [1] proposed a ratio estimator considering p auxiliary variables under simple random sampling. As is expected, Simple Random Sampling comes with relatively low levels of precision especially with regard to the fact that its variance is greatest amongst all the sampling schemes. We extend this to stratified random sampling and we consider a case where the strata have varying weights. We have proposed a Multivariate Ratio Estimator for the population mean in the presence of two auxiliary variables under Stratified Random Sampling with L strata. Based on an empirical study with simulations in R statistical software, the proposed estimator was found to have a smaller bias as compared to Olkin’s estimator.