Compstat pp 171-176 | Cite as

Optimization in Statistics — Recent Trends

  • T. S. Arthanari
Conference paper

Abstract

In the recent past interaction between mathematical programming and statistical problems has grown considerably. Optimization with multi objective functions and global optimization have also found use in solving statistical problems arising in various fields. Especially in the field of Quality Engineering and On-line Process Control, due to the innovative approaches of Genichi Taguchi [16] some problems have been identified and solved using optimization methods. Since the publication of MATHEMATICAL PROGRAMMING IN STATISTICS [2] there has been a large number of books and paper written, which bring out the connections between Statistical Methods and Optimization.

Keywords

Covariance Transportation Assure Stratification 

Preview

Unable to display preview. Download preview PDF.

Unable to display preview. Download preview PDF.

References

  1. 1.
    Aragon, J., and Pathak, P.K.,(1990), An algorithm for optimal integration of two surveys, to appear in Sankhya.Google Scholar
  2. 2.
    Arthanari, T.S., and Dodge, Y.,(1981), Mathematical Programming in Statistics, Wiley & Sons, New York.Google Scholar
  3. 3.
    Arthanari, T.S.,(1988); Parametric design and global optimization, paper presented at the First International Conference on Optimal Design and Analysis of Experiments, Neuchatel, Switzerland.Google Scholar
  4. 4.
    Causey, B.D., Cox, L.H., and Ernst, L.R.,(1985), Applications of transportation theory to ortation theory to statistical problems. J. Amer. Statis. Assoc., 80, 903–909.Google Scholar
  5. 5.
    Chakraborty, T.K.,(1988), Single Sampling attribute plan of give:, strength based on Fuzzy Goal Programming, OPSEARCH, Vol.25,No.4,pp 259–271.Google Scholar
  6. 6.
    Chakraborty, T.K.,(1989), A Group Sampling attribute plan (1989) to attain the given strength, OPSERACH, Vol 26, No.2, pp 122–204.Google Scholar
  7. 7.
    Chakravarti, N.,(1987),Isotonic Median Regression; A Linear Programming approach, private communication.Google Scholar
  8. 8.
    Chakravarti, N.,(1987), Bounded Isotonic Median Regression, private communication.Google Scholar
  9. 9.
    Evren, R.,(1987), Interactive compromise programming J. Opl. Res. Soc., Vol.38, No.2, pp 163–172.Google Scholar
  10. 10.
    Hald, A.,(1981), Statistical theory of sampling inspection by attributes, Academic Press, London.Google Scholar
  11. 11.
    Mitra, S.K., and Pathak, P.K.,(1984), Algorithms for optimal integration of two or three surveys, Scand. J. Statist, Vol. 11, pp 257–263.Google Scholar
  12. 12.
    Mitra, S.K.,(1988), On the method of overlapping maps in survey sampling, Sankhya, Vol.50, Series B, Pt.I, pp 9–38.Google Scholar
  13. 13.
    Mitra, S.K. and Mohan, S.R.,(1988), On the optimality of North-West Corner solution in some applications of the transportation theory, Tech. Report No.8801, Indian Stat. Inst. Delhi Centre, India.Google Scholar
  14. 14.
    Ramamurthy, K.G.,(1988), A Review of an optimization problem, OPSEARCH, Vol. 25, No. 1,pp 29–48Google Scholar
  15. 15.
    Robertson, T. and Waltmen, P.(1968), On estimating monotone parameters, Ann. Maths. Stat., Vol.31, pp 1030–1039.CrossRefGoogle Scholar
  16. 16.
    Taguchi, G.,(1985), Quality Engineering in Japan, Commu. Stat. Theo. Meth., Vol.14, No.1, pp 2785–2801.CrossRefGoogle Scholar

Copyright information

© Physica-Verlag Heidelberg 1990

Authors and Affiliations

  • T. S. Arthanari
    • 1
  1. 1.MadrasIndia

Personalised recommendations