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  • 标题:Geometric programming approach to optimum allocation in multivariate two-stage sampling design
  • 其他标题:Geometric programming approach to optimum allocation in multivariate two-stage sampling design
  • 作者:Maqbool, Showkat ; Mir, Abdul Hamid ; Mir, Shakeel Ahmad
  • 期刊名称:Electronic Journal of Applied Statistical Analysis
  • 电子版ISSN:2070-5948
  • 出版年度:2011
  • 卷号:4
  • 期号:1
  • 页码:71-82
  • DOI:10.1285/i20705948v4n1p71
  • 语种:English
  • 出版社:University of Salento
  • 摘要:Geometric programming provides a powerful tool for solving non-linear problems where non-linear relations can be well presented by an exponential or power function. In real life situations applications of geometric programming are found in engineering design, sampling design etc. In this paper, the problem of allocation in first stage and second stage units in multivariate two stage sampling is considered. The problem is formulated as a convex programming problem with linear objective function. A solution procedure is developed to solve the resulting mathematical programming problem by using geometric programming technique. The computational details of the procedure are illustrated through a numerical example.
  • 关键词:Stratified two stage sampling; Allocation problem; Convex Programming; Geometric Programming.
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