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Spatial matching of M configurations of points with a bioinformatics application

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  • Marín Díazaraque, Juan Miguel
  • Nieto, Carmen

Abstract

In this paper, we present a model to deal with the problem of matching M objects or configurations of points. This is a generalization of the model proposed by Green and Mardia (2006). We consider, as a direct and simple application, the case of three configurations with labelled and with unlabelled points. In both cases, we consider data from a microarray experiment of gorilla, bonobo and human cultured fibroblasts published by Karaman et al. (2003). We find out the matchings and the best affine transformation between the projections of genes in a two dimensional space, obtained by a Multidimensional Scaling technique.

Suggested Citation

  • Marín Díazaraque, Juan Miguel & Nieto, Carmen, 2007. "Spatial matching of M configurations of points with a bioinformatics application," DES - Working Papers. Statistics and Econometrics. WS ws070903, Universidad Carlos III de Madrid. Departamento de Estadística.
  • Handle: RePEc:cte:wsrepe:ws070903
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    References listed on IDEAS

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    1. Casals, Jose & Sotoca, Sonia & Jerez, Miguel, 1999. "A fast and stable method to compute the likelihood of time invariant state-space models," Economics Letters, Elsevier, vol. 65(3), pages 329-337, December.
    2. Bujosa, Marcos & Garcia-Ferrer, Antonio & Young, Peter C., 2007. "Linear dynamic harmonic regression," Computational Statistics & Data Analysis, Elsevier, vol. 52(2), pages 999-1024, October.
    3. Jesus Gonzalo & Jean-Yves Pitarakis, 2001. "Lag Length Estimation in Large Dimensional Systems," Econometrics 0108002, EconWPA.
    4. Bauer, Dietmar, 2005. "Estimating Linear Dynamical Systems Using Subspace Methods," Econometric Theory, Cambridge University Press, vol. 21(01), pages 181-211, February.
    5. Carl Eckart & Gale Young, 1936. "The approximation of one matrix by another of lower rank," Psychometrika, Springer;The Psychometric Society, vol. 1(3), pages 211-218, September.
    6. Bengtsson, Thomas & Cavanaugh, Joseph E., 2006. "An improved Akaike information criterion for state-space model selection," Computational Statistics & Data Analysis, Elsevier, vol. 50(10), pages 2635-2654, June.
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    Keywords

    Von Mises distribution;

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