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Communications in Statistics - Theory and Methods Volume 18, 1989 - Issue 4
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Original Articles

Optimal allocation of stratified samples with several variance constraints and equal workloads over time by geometric programming

Miles Davis Social Security Administration, Baltimore, 21235, Maryland
&
Robert H. Finch Jr. Social Security Administration, Baltimore, 21235, Maryland
Pages 1507-1520 | Received 01 Feb 1988, Published online: 27 Jun 2007

References

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  • Borland International, Inc. Eureka: The Solver™ Owner's Handbook Borland International Scotts Valley, California 1987
  • Cochran , W. G. 1977 . Sampling Techniques , New York : John Wiley and Sons .
  • Davis , M. and Finch , R. H. Jr. 1983 . “Sample Allocation by Geometric Programming” . Section on Survey Research Methods Proceedings of the American Statistical Assocation , : 733 – 737 .
  • Davis , M. and Schwartz , R. E. 1987 . “Geometric Programming for Optimal Allocation of Integrated Samples in Quality Control” . Communications in Statistics-Theory and Methods , 16 ( 11 ) : 3235 – 3254 .
  • Duffin , R. J. , Peterson , E. L. and Zener , C. M. 1967 . Geometric Programming , New York : John Wiley and Sons .
  • Ecker , J. G. 1980 . “Geometric Programming: Methods, Computations and Applications” . SIAM Review , 22 : 338 – 362 .
  • Jagannathan , R. 1965 . “The Programming Approach in Multiple Character Studies” . Econometrica , 33 : 236 – 237 .
  • Kokan , A. R. 1963 . “Optimum Allocation in Multivariable Surveys” . Journal of the Royal Statistical Society, A , 128 : 557 – 565 .
  • Mc Cortnick , G. P. 1983 . Nonlinear Programming: Theory, Algorithms and Applications , New York : John Wiley and Sons .
  • Neyman , J. 1934 . “On the Two Different Aspects of the Representative Method of Stratified Sampling and the Method of Purposive Selection” . Journal of the Royal Statistical Society , 97 : 558 – 606 .
  • Nordbotten , S. 1956 . “Allocation in Stratified Sampling by Means of Linear Programming” . Skandinavisk Aktuarietidskrift , 39 : 1 – 6 .
  • Rosen , J. B. 1960 . “The Gradient Projection Method for Nonlinear Programming: Part I, Linear Constraints” . Journal of the Society for Industrial and Applied Mathematics , 8 : 181 – 217 .
  • Schwartz , R. E. 1978 . “Designing Optimal Integrated Samples Using Non-linear Programming” . Section on Survey Research Methods Proceedings of the American Statistical Association , 8 : 638 – 640 .

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