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An Optimum Multivariate Stratified Sampling Design

Author Affiliations

  • 1Department of Statistics and O.R., A.M.U., Aligarh, INDIA
  • 2Department of Statistics and O.R., A.M.U., Aligarh, INDIA
  • 3Department of Statistics and O.R., A.M.U., Aligarh, INDIA

Res. J. Mathematical & Statistical Sci., Volume 3, Issue (1), Pages 10-14, January,12 (2015)


This article deals with the problem of find a single usable allocation which is suits all the characteristics involved in a multivariate stratified random sampling. The idea is to minimize all the sampling variances of the estimates of the population means of the characteristics under study simultaneously. The problem when formulated mathematically terms out to be a Multi-objective Integer Nonlinear Programming Problem (MOINLPP). Two different approaches viz. ‘D_1- Distance and ‘Goal Programming’ are used to transformed the formulated MOINLPP into a single objective integer nonlinear than can be solved through the well known optimization software LINGO (2013).


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