Robust multivariate calibration algorithm based on least median of squares and sequential number theory optimization method

Analyst

Volumn 121, Issue 8, 1996, Pages 1025-1029

  Liang, Yi Zeng ^a   Fang, Kai Tai ^b  

^a HUNAN UNIVERSITY   (China)

^b HONG KONG BAPTIST UNIVERSITY   (Hong Kong)

Author keywords

Global optimization; Least median of squares; Multivariate calibration; Number theory method; Robust estimator; Sequential number theory optimization

Indexed keywords

ALGORITHM; ARTICLE; CALCULATION; CALIBRATION; COMPARATIVE STUDY; MULTIVARIATE ANALYSIS; REGRESSION ANALYSIS; SIMULATION; STATISTICS; THEORY;

EID: 0029739648     PISSN: 00032654     EISSN: None     Source Type: Journal    
DOI: 10.1039/an9962101025     Document Type: Article

References (22)

1. Edgeworth, F. Y., Hermathena, 1887, 6, 279.
2. Rousseeuw, P. J., and Leroy, A. M., Robust Regression and Outlier Detection, Wiley, New York, 1987.
3. Rousseeuw, P. J., J. Chemometr., 1991, 5, 1.
4. Hodges, J. L., Proc. Fifth Berkeley Symp. Math. Stat. Probab., 1967, 1, 163.
5. Hampel, H. R., Ann. Math. Stat., 1971, 42, 1887.
6. Rousseeuw, P. J., J. Am. Stat. Assoc., 1987, 79, 871.
7. Steele, J. M.. and Steiger, W. L., Discrete Appl. Math., 1986, 14, 93.
8. Clancey, V. J., Nature (London), 1974, 159, 339.
9. Harris, E. K., and DeMets, D. L., Clin. Chem., 1972, 18, 605.
10. Philips, G. R., and Eyring, E. R., Anal. Chem., 1983, 55, 1134.
11. Wolters, R., and Kateman, G., J. Chemometr., 1989, 3, 329.
12. Wei, W. Z., Zhu, W. H., and Yao, S., Chemometr. Intell. Lab. Syst. 1993, 18, 17.
13. Xie, Y. L., Liang, Y. Z., Jiang, J. H., and Yu, R. Q., Anal. Chim. Acta, 1995, 311, 185.
14. Walczak, B., and Massart, D. L., Chemometr. Intell. Lab. Syst., 1995, 27, 41.
15. Devlin, J. S., Gnanadesikan, R., and Kettenring, J. R., J. Am. Stat. Assoc., 1981, 76, 354.
16. Fang, K. T., and Wang, Y., in Lecture Notes in Contemporary Mathematics, eds. Yang, L., and Wang, Y., Science Press, Beijing, 1990, pp. 17-28.
17. Niederreiter, H., and Peart, P., SIAM J. Sci. Stat. Comput., 1986, 7, 660.
18. Fang, K. T., and Wang, Y., Number-Theory Methods in Statistics, Chapman and Hall, London, 1993.
19. Kirkpatrick, S., Gelatt, C. D., and Vecchi, M. P., Science, 1983, 220, 671.
20. Bohachevsky, I. O., Johnson, M. E., and Sein, M. L., Technometrics, 1986, 28, 209.
21. Holland, J. H., Adaptation in Natural and Artificial Systems, University of Michigan Press, Ann Arbor, MI, 1975.
22. Handbook of Genetic Algorithms, ed. Davis, L., Van Nostrand Reinhold, New York, 1991.