Mathias Drton - Papers

Publications Conference proceedings Unpublished tech reports Ph.D. thesis


Manuscripts
  1. Discrete chain graph models, submitted.
  2. Iterative conditional fitting for discrete chain graph models, to appear in COMPSTAT 2008.

Publications    (on MathSciNet, on ArXiv)

2008  Likelihood ratio tests and singularities. Annals of Statistics, accepted. arXiv:math.ST/0703360.
Moments of minors of Wishart matrices (with Hélène Massam, Ingram Olkin). Annals of Statistics, accepted. arXiv:math.PR/0604488.
Graphical methods for efficient likelihood inference in Gaussian covariance models (with Thomas S. Richardson). Journal of Machine Learning Research, accepted. arXiv:0708.1321.
Binary models for marginal independence (with Thomas S. Richardson). Journal of the Royal Statistical Society Series B 70(2): 287-309. arXiv:0707.3794. (Supporting material: software and data)
A SINful approach to Gaussian graphical model selection (with Michael D. Perlman). Journal of Statistical Planning and Inference 138(4): 1179-1200.
2007  Algebraic statistical models (with Seth Sullivant). Statistica Sinica 17: 1273-1297. arXiv:math.ST/0703609.
Multiple testing and error control in Gaussian graphical model selection (with Michael D. Perlman). Statistical Science 22(3): 430-449. arXiv:math.ST/0508267.
Algebraic factor analysis: tetrads, pentads and beyond (with Bernd Sturmfels, Seth Sullivant). Probability Theory and Related Fields 138(3/4): 463-493. arXiv:math.ST/0509390.
d Estimation of a covariance matrix with zeros (with Sanjay Chaudhuri, Thomas S. Richardson). Biometrika 94(1): 199-216. arXiv:math.ST/0508268.
e A mutagenetic tree hidden Markov model for longitudinal clonal HIV sequence data (with Niko Beerenwinkel). Biostatistics 8(1): 53-71. arXiv:q-bio.PE/0603031.
2006  Maximum likelihood estimation in Gaussian chain graph models under the alternative Markov property (with Michael Eichler). Scandinavian Journal of Statistics 33(2): 247-257. arXiv:math.ST/0508266.
b Seat excess variances of apportionment methods for proportional representation (with Udo Schwingenschlögl). Statistics & Probability Letters 76(16): 1723-1730.
c Computing all roots of the likelihood equations of seemingly unrelated regressions. Journal of Symbolic Computation 41(2): 245-254. arXiv:math.ST/0508437.
d Conditional independence models for seemingly unrelated regressions with incomplete data (with Steen A. Andersson, Michael D. Perlman). Journal of Multivariate Analysis 97(2): 385-411.

2005  Asymptotic seat bias formulas (with Udo Schwingenschlögl). Metrika 62(1): 23-31.
b Mutagenetic tree models (with Niko Beerenwinkel). In L. Pachter and B. Sturmfels, editors, Algebraic Statistics for Computational Biology, chapter 14. Cambridge University Press.
c Ultra-conserved elements in vertebrate and fly genomes (with Nick Eriksson, Garmay Leung). In L. Pachter and B. Sturmfels, editors, Algebraic Statistics for Computational Biology, chapter 22. Cambridge University Press.

2004 a Model selection for Gaussian concentration graphs (with Michael D. Perlman). Biometrika 91(3): 591-602.
b Multimodality of the likelihood in the bivariate seemingly unrelated regressions model (with Thomas S. Richardson). Biometrika 91(2): 383-392.
c Surface volumes of rounding polytopes (with Udo Schwingenschlögl). Linear Algebra and Its Applications 378: 71-91.
d Seat allocation distributions and seat biases of stationary apportionment methods for proportional representation (with Udo Schwingenschlögl). Metrika 60(2): 191-202.
e Simulation of aphasic naming performance in non-brain-damaged adults (with JoAnn P. Silkes, Malcolm R. McNeil). Journal of Speech, Language and Hearing Research 47(3): 610-623.
f A rediscovered Llull tract and the Augsburg web edition of Llull's electoral writings (with Günter Hägele, Dominik Haneberg, Friedrich Pukelsheim, and Wolfgang Reif). Le Médiéviste et l'Ordinateur 43, online.

2003 a A Markov chain model of tornadic activity (with Caren Marzban, Peter Guttorp, Joseph T. Schaefer). Monthly Weather Review 131(12): 2941-2953.
b Seat biases of apportionment methods for proportional representation (with Karsten Schuster, Friedrich Pukelsheim, Norman R. Draper). Electoral Studies 22(4): 651-676.

1999 a Analyse de la variance non-équirépétée hiérarchique: comparaison de cinq logiciels (Unbalanced hierarchical analysis of variance: comparison of five software packages) (with Jean-Marc Azaïs). Journal de la Société Française de Statistique 140(1): 23-40.

Conference proceedings

2006 Algebraic techniques for Gaussian models. Prague Stochastics 2006 (Eds., Marie Huskova and Martin Janzura), 81-90. arXiv:math.ST/0610679.
2004  Iterative conditional fitting for Gaussian ancestral graph models (with Thomas S. Richardson). Proceedings of the 20th Conference on Uncertainty in Artificial Intelligence, 130-137.
2003 A new algorithm for maximum likelihood estimation in Gaussian graphical models for marginal independence (with Thomas S. Richardson). Proceedings of the 19th Conference on Uncertainty in Artificial Intelligence, 184-191.

Unpublished technical reports

2003  On the bias and mean-square error of the sample minimum and the maximum likelihood estimator for two ordered normal means (with Sanjay Chaudhuri). Department of Statistics, University of Washington, Tech. Report 432.

Ph.D. thesis

2004  Maximum likelihood estimation in Gaussian AMP chain graph models and Gaussian ancestral graph models. Department of Statistics, University of Washington.

Mathias Drton, March 2008