University of Illinois at Chicago
Department of Information & Decision Sciences
IDS 594 Special Topics in IDS:
Statistical Finite Mixture Models in Science, Engineering, and Business
Semester Fall, 2002
Instructor  Prof. Stanley L. Sclove
Bibliography

TEXTBOOK (recommended only)

Geoffrey McLachlan and David Peel. Finite Mixture Models.   Wiley, New York, 2000.  ISBN 0-534-20304-3.

OTHER BOOKS (optional additional references): a Selected Bibliography

Note.   These are for your information only. No specific reading assigned.

Mathematical Statistics

Hogg and Craig.  Introduction to Mathematical Statistics. 5th ed.  Prentice-Hall, Inc., 1995. Used in UIC Stat 401-411.

P. J. Bickel and K. A. Doksum. Mathematical Statistics:   Basic Ideas and Selected Topics. Holden-Day, San Francisco, 1977. Used in UIC Stat 511.

Multivariate Statistical Analysis

T. W. Anderson. An Introduction to Multivariate Statistical Analysis. Wiley, New York, 1959. 2nd ed., 1984.
Johnson and Wichern. Applied Multivariate Analysis. 5th ed. Prentice Hall.

Cluster Analysis

Brian S. Everitt, Sabine Landau, & Morven Leese. Cluster Analysis.   4th ed.   London: Arnold, New York: Oxford. 2001. ISBN 0 340 761 19 9.

EM Algorithm

G. McLachlan and T. Krishnan.  The EM Algorithm and Extensions. Wiley, New York, 1997. ISBN 0-471-12358-7.

Finite Mixture Models

Ball, G. H., and Hall, D. J. (1967), "A Clustering Technique for Summarizing Multivariate Data," Behavioral Science, 12, 153-155.
Dempster, A. P., Laird, N. M., and Rubin, D. B. (1977), "Maximum Likelihood from Incomplete Data via the E-M Algorithm,"  Journal of the Royal Statistical Society, Ser. B, 39, 1-38. 
Dugad, Rakesh, and Desai, U. B.(1996), A Tutorial on Hidden Markov Models, Technical Report No. SPANN-96.1, Signal Processing and Artificial Neural Networks Lab, EE Dept., IIT - Bombay, Powai, Mumbai 400 076, India. May, 1996.   Link for printing Tech. Rpt.
Fraley, C., and Raftery, A. (1999),  "MCLUST:  Software for Model-Based Cluster Analysis," Journal of Classification, 16, 297-306.
McLachlan, G. J., and Basford, K. E. (1987), Mixture Models:  Inference and Applications to Clustering,  New York: Marcel Dekker. 
Sclove, S. L. (1977),  "Population Mixture Models and Clustering Algorithms," Communications in Statistics   A6,    417-434.
Sclove, S. L. (1992), "CLUSPAC:  Computer Programs for Mixture-Model Cluster Analysis,"   CRIM Technical Report 92-2, Center for Research in Information Management, College of Business Administration, University of Illinois at Chicago.
Titterington, D. M., Smith, A. F. M., and Makov, U. E. (1985),  Statistical Analysis of Finite Mixture Distributions,    New York:   Wiley.
Wolfe, J. H. (1970),  "Pattern Clustering   by Multivariate Mixture Analysis," Multivariate Behavioral Research, 5, 329-350.

Markov Random Fields

J. Cai and Z-Q. Liu (2002), "Pattern recognition using Markov random field models," Pattern Recognition, Vol. 35, No. 3 (March), 725-734. 
Created     2001:  Dec 15                 Last updated   2002:  Sep 13