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Article
Self-Consistency Algorithms
Journal of Computational and Graphical Statistics
  • Thaddeus Tarpey, Wright State University - Main Campus
Document Type
Article
Publication Date
12-1-1999
Abstract
The k-means algorithm and the principal curve algorithm are special cases of a self-consistency algorithm. A general self-consistency algorithm is described and results are provided describing the behavior of the algorithm for theoretical distributions, in particular elliptical distributions. The results are used to contrast the behavior of the algorithms when applied to a theoretical model and when applied to finite datasets from the model. The algorithm is also used to determine principal loops for the bivariate normal distribution.
Comments

Original publication is available at http://www.tandfonline.com/doi/abs/10.1080/10618600.1999.10474854

DOI
10.2307/1390832
Citation Information
Thaddeus Tarpey. "Self-Consistency Algorithms" Journal of Computational and Graphical Statistics Vol. 8 Iss. 4 (1999) p. 889 - 905 ISSN: 1061-8600
Available at: http://works.bepress.com/thaddeus_tarpey/2/