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Carles M. Cuadras

Representative publications

• Cuadras, C.M., Augé, J. A continuous general multivariate distribution and its properties. Comm. in Stat., Theor.Meth., A10(4),339-353, 1981.
• Oller, J.M., Cuadras, C.M. Rao's distance for negative multinomial distributions. Sankhya, A 47(1), 75-83, 1985.
• Cuadras, C.M. Distance Analysis in discrimination and classification using both continuous and categorical variables. In: Recent Developments in Statistical Data Analysis and Inference. (Y. Dodge ed.), Elsevier Sciencie Publisher, North-Holland, Amsterdam, 459-474, 1989.
• Cuadras , C.M., Arenas, C. A distance based model for prediction with mixed data. Communications in Statistics, Theory Meth., 19, 2261-2279, 1990.
• Cuadras, C.M. Probability distributions with given multivariate marginals and given dependence structure. Journal of Multivariate Analysis, 42, 51-66, 1992.
• Cuadras, C.M. Interpreting an inequality in multiple regression. The American Statistician, 47(4), 256-258, 1993.
• Cuadras, C.M., Fortiana, J. A continuous metric scaling solution for a random variable. Journal of Multivariate Analysis, 52(1), 1-14, 1995.
• Cuadras, C.M., Fortiana, J., Oliva, F. The proximity of an individual to a population with applications to discriminant analysis. Journal of Classification, 14, 117-136, 1997.
• Cuadras, C.M., Atkinson, R.A. Fortiana, J. Probability densities from distances and discriminant analysis. Statistics & Probability Letters, 33, 405-411, 1997.
• Cuadras, C.M., Lahlou, Y. Some orthogonal expansions for the logistic distribution. Comm. Stat.-Theor. Meth., 29 (12), 2643-2663, 2000.
• Cuadras, C. M. On the covariance between functions. Journal of Multivariate Analysis, 81, 19-27, 2002.
• Cuadras, C.M. Correspondence analysis and diagonal expansions in terms of distribution functions. Journal of Statistical Planning and Inference, 103, 137-150, 2002.
• Cuadras, C. M, Cuadras, D.,  Lahlou, Y. Principal directions for the general Pareto distribution. Journal of Statistical Planning and Inference, 136, 2572-2583, 2006..
• Cuadras. C. M., Cuadras, D. A parametric approach to correspondence analysis. Linear Algebra and its Applications, 417, 64-74, 2006. 
• Cuadras, C. M., Cuadras, D. Eigenanalysis on a bivariate covariance kernel. Journal of Multivariate Analysis, 99 (10), 2497-2507, 2008.
• Cuadras, C. M. Distance-based multisample tests for multivariate data. In: Advances in Mathematical and Statistical Modeling, (Arnold, B. C.; Balakrishnan, N.; Sarabia, J. M.; Mínguez, R. Eds.), Birkhauser, Boston, pp. 61-71, 2008.
• Cuadras, C. M. Constructing copula functions with weighted geometric means. Journal of Statistical Planning and Inference, 139, 3766-3772, 2009.
• Cuadras, C. M. Nonlinear principal and canonical directions from continuous extensions of multidimensional scaling. Open Journal of Statistics, 4 (2), 132-149, 2014.
• Cuadras, C. M., Cuadras, D. A unified approach for the multivariate analysis of contingency tables. Open Journal of Statistics, 5, 223-232, 2015.
• Cuadras, C. M. Contributions to the diagonal expansion of a bivariate copula with continuous extensions. Journal of Multivariate Analysis, 139, 28-44, 2015.
• Cuadras, C. M., Salvo-Garrido, S. Some multivariate measures based on distances and their entropy versions. En: The Mathematics of the Uncertain, E. Gil et al., eds. Springer Int. Pub., pp. 475-484, 2018.

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Articles classified by topics

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R E S E A R C H I N T E R E S T S	MAIN SUBJECTS ON WHICH I WAS WORKING
	Topics	Key words and phrases
	Biometry	Models and applications to psychology, medicine, pharmacology, genetics, human genetics, anthropology, geology, paleontology.
	Probability distributions with given marginals	Generating probability distributions given the marginals, given dependence parameters, given a regression curv, FGM generalizations, functional, analysis, rank reduction.
	Multidimensional Scaling and Correspondence Analysis	Exploring dimensions, dimensionality of ultrametric distances, applications to goodness-of-fit, representing models.
	Orthogonal expansions	Orthogonal expansions of random variables, principal directions, characterization, inequalities
	Statistical distances	Ultrametric distances, constructing distances between observations, probability densities, linear models, etc., entropy functions and partitions
	Regression and distance-based prediction	Inequalities in multiple correlation and regression, quirks in regression, prediction using principal coordinate dimensions, regression with mixed variables
	Discriminant Analysis and distance-based tests	Distance-based and proximity function approach in discrimination, classification with mixed and nominal variables, constructing probability densities from distances, two and multi-sample tests based on distances.
	Miscellaneous	Matrix patterns, Cauchy distribution, inequalities, series of constants, entropy

Research grants 1997 - 2009

1. Generalitat de Catalunya. CUR: 1997SGR00183

2. Ministerio de Educación y Cultura. DGES: PB96 1004 C02 01

3. Generalitat de Catalunya. CUR: 1999SGR00059

4. Ministerio de Ciencia y Tecnologia. DGI: BFM2000-0801
5. Generalitat de Catalunya. CUR: 2001SGR00067

6. Ministerio de Educación y Ciencia. MTM2004-00440

7. Generalitat de Catalunya. CUR: 2005SGR00871

8. Ministerio de Educación y Ciencia. MTM2008-00642

9. Generalitat de Catalunya. CUR: 2009SGR932

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