Singularity and Nonnormality in the Classification of Compositional Data

Mathematical Geology

Volumn 30, Issue 1, 1998, Pages 5-20

  Bohling, Geoffrey C ^a   Davis, John C ^a   Olea, Ricardo A ^a   Harff, Jan ^b  

^a UNIVERSITY OF KANSAS   (United States)

^b LEIBNIZ INSTITUTE FOR BALTIC SEA RESEARCH   (Germany)

Author keywords

Compositions; Logratio transforms; Pseudo inverses; Regionalization

Indexed keywords

COMPOSITIONAL DATA; REGIONALIZATION;

EID: 0031803692     PISSN: 08828121     EISSN: None     Source Type: Journal    
DOI: 10.1023/A:1021705120065     Document Type: Article

References (10)

1. Aitchison, J., 1986, The statistical analysis of compositional data: Chapman and Hall, London, 416 p.
2. Bohling, G. C., 1997, GSLIB-style programs for discriminant analysis and regionalized classification: Computers & Geosciences, in press.
3. Davis, J. C., Harff, J., Lemke, W., Olea, R. A., Tauber, F., Bohling, G. C., and Di Zhou, 1995, Analysis of sedimentary facies by regionalized classification: Kansas Geol. Survey Open-file Rept. 95-4, 28 p.
4. Golub, G. H., and Van Loan, C. F., 1989, Matrix computations (2nd ed.): The Johns Hopkins Univ. Press, Baltimore, 642 p.
5. Harff, J., and Davis, J. C., 1990, Regionalization in geology by multivariate classification: Math. Geology, v. 22, no. 5, p. 573-588.
6. Lemke, W., Kuijpers, A., Hoffmann, G., Milkert, D., and Atzler, R. 1994, The Darss Sill, hydrographic threshold in the southwestern Baltic: Late Quaternary geology and recent sediment dynamics: Continental Shelf Research, v. 14, no. 7/8, p. 847-870.
7. McLachlan, G. J., 1992, Discriminant analysis and statistical pattern recognition: John Wiley & Sons, New York, 526 p.
8. Press, W. H., Teukolsky, S. A., Vetterling, W. T., and Flannery, B. P. 1992, Numerical recipes in FORTRAN: the art of scientific computing (2nd ed.): Cambridge Univ. Press, Cambridge, 963 p.
9. Sampson, R. J., 1988, Surface III® User's manual: Kansas Geol. Survey, unpaginated.
10. SAS Institute Inc., 1989, SAS/STAT® User's guide, Version 6, (4th ed.), v. 2: SAS Institute Inc., Cary, North Carolina, unpaginated.