On the determination of the number of components in a mixture

Statistics and Probability Letters

Volumn 38, Issue 4, 1998, Pages 295-298

  Polymenis, A ^a   Titterington, D M ^a  

^a UNIVERSITY OF GLASGOW   (United Kingdom)

Author keywords

Information matrices; Mixture distributions; Parametric bootstrap

Indexed keywords

EID: 0032116925     PISSN: 01677152     EISSN: None     Source Type: Journal    
DOI: 10.1016/S0167-7152(98)00030-3     Document Type: Article

References (10)

1. Bezdek, J.C., 1981. Pattern Recognition with Fuzzy Objective Function Algorithms. Plenum Press, New York.
2. Feng, Z.D., McCulloch, C.E., 1996. Using bootstrap likelihood ratios in finite mixture models. J.R. Statist. Soc. B 58, 609-617.
3. Lindsay, B.G., 1995. Mixture Models: Theory, Geometry and Applications. IMS Lecture Notes - Monograph Series, Hayward, CA.
4. McLachlan, G.J., 1987. On bootstrapping the likelihood ratio test statistic for the number of components in a normal mixture. Applied Statistics 36, 318-324.
5. Richardson, S., Green, P.G., 1997. On Bayesian analysis of mixtures with an unknown number of parameters, with discussion. J. Roy. Statist. Soc. B 59, 731-792.
6. Robert, C., 1996. Mixture of distributions: inference and estimation. In: Gilks W., Richardson, S., Spiegelhalter, D.J., (Eds.), Practical Markov Chain Monte Carlo. Chapman & Hall, London, pp. 441-464.
7. Titterington, D.M., 1990. Some recent results in the analysis of mixture distributions. Statistics 21, 619-641.
8. Titterington, D.M., 1996. Mixture distributions (update). In: Banks, D., Johnson, N.L., Kotz, S., Read, C.B., (Eds.), Encyclopedia of Statistical Sciences Update, Volume 1. Wiley, New York, pp. 399-407.
9. Titterington, D.M., Smith. A.F.M., Makov, U.E., 1985. Statistical Analysis of Finite Mixture Distributions. Wiley, Chichester.
10. Windham, M.P., Cutler, A., 1992. Information ratios for validating mixture analyses. J. Am. Statist. Assoc. 87, 1188-1192.