Application of the generalized mean value function to the statistical detection of water in decane by near-infrared spectroscopy

Physica A: Statistical Mechanics and its Applications

Volumn 352, Issue 2-4, 2005, Pages 379-396

  Nigmatullin, Raoul R ^a   Moroz, Adam ^b   Smith, Geoff ^b  

^a KAZAN FEDERAL UNIVERSITY   (Russian Federation)

^b DE MONTFORT UNIVERSITY   (United Kingdom)

Author keywords

A. Generalized mean value; A. Higher moments; B. Random sequences; C. Eigen coordinates method

Indexed keywords

APPROXIMATION THEORY; CALIBRATION; EIGENVALUES AND EIGENFUNCTIONS; FUNCTIONS; INFRARED SPECTROSCOPY; MATHEMATICAL MODELS; MATRIX ALGEBRA; PRINCIPAL COMPONENT ANALYSIS;

EIGEN-COORDINATES METHOD; GENERALIZED MEAN VALUE (GMV); HIGHER MOMENTS; RANDOM SEQUENCES;

STATISTICAL METHODS;

EID: 18144390596     PISSN: 03784371     EISSN: None     Source Type: Journal    
DOI: 10.1016/j.physa.2004.12.055     Document Type: Article

References (16)

1. L. Stordrange, F.O. Libnau, D. Malthe-Sorenssen, and O.M. Kvalheim J. Chemometrics 16 2002 529
2. S.F. Malin, T.L. Ruchti, T.B. Blank, S.N. Thennadil, and S.L. Monfre Clin. Chem. 45 1999 1651
3. L. Kaufman, and P.J. Rousseeuw Finding Groups in Data: An Introduction to Cluster Analysis 1990 Wiley New York
4. A.D. Richardson, S. Reeves III, B. James, and G. Timothy New Phytologist 161 2004 291
5. D.G. Evans, C.N.G. Scotter, L.Z. Day, and M.N. Hall J. Near Infrared Spectrosc. 1 1993 33
6. R. Mukundan, and K.R. Ramakrishnan Moment Functions in Image Analysis Theory and Applications 1998 World Scientific Singapore
7. K. Nagao, B.K.P. Horn, J.A.I. Memo No. 1526 (1995), 1, Massachusettes Institute of Thecnology, Artificial Intelligence Laboratory.
8. M. Abramovitz, and A. Stegan Handbook of Mathematical Functions 1972 Dover New York
9. R.R. Nigmatullin Appl. Magn. Reson. 14 1998 601
10. M.M. Abdul-Gader Jafar, and R.R. Nigmatullin Thin Solid Films 396 2001 280
11. R.R. Nigmatullin, M.M. Abdul-Gader Jafar, N. Shinyashiki, S. Sudo, and S. Yagihara J. Non-Cryst. Solids 305 2002 96
12. R.R. Nigmatullin, and G. Smith Physica A 320 2003 291
13. M.G. Kendall, and A. Stuart The Advanced Theory of Statistics vol. 1 1962 Ch. Griffin & Co., Ltd. NY, London, Sydney, Toronto
14. J.A. Hartigan Clustering Algorithms 1975 Wiley New York
15. ® Users Guide, Version 8, 1998.
16. S. Sharma Applied Multivariant Techniques 1996 Willey New York