Multi-objective Compromise Allocation in Multivariate Stratified Sampling Using Extended Lexicographic Goal Programming with Gamma Cost Function

  • Yousaf Shad Muhammad
  • Javid Shabbir
  • Ijaz Husain
  • Mitwali Abd-el.Moemen


In the present paper, a new Gamma cost function is proposed for an optimum allocation in multivariate stratified random sampling with linear regression estimator. Extended lexicographic goal programming is used for solution of multi-objective non-linear integer allocation problem. A real data set is used to illustrate the application.


Multivariate stratified sampling Compromise allocation Multi-objective programming Nonlinear cost function Lexicographic goal programming 


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Copyright information

© Springer Science+Business Media Dordrecht 2014

Authors and Affiliations

  • Yousaf Shad Muhammad
    • 1
    • 2
  • Javid Shabbir
    • 1
    • 2
  • Ijaz Husain
    • 1
    • 2
  • Mitwali Abd-el.Moemen
    • 1
    • 2
  1. 1.Department of StatisticsQuaid-i-Azam UniversityIslamabadPakistan
  2. 2.College of Law and Political ScienceKing Saud UniversityRiyadhSaudi Arabia

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