Orthogonal expansion of a random variable

  1. Cuadras, C.M., Fortiana, J. Continuous metric scaling and prediction . In: Multivariate Analysis: Future Directions 2. Elsevier, North-Holland, Amsterdam, pp.47-66, 1993.
  2. Cuadras, C.M., Fortiana, J. A continuous metric scaling solution for a random variable. Journal of Multivariate Analysis, 52(1), 1-14, 1995

3.      Cuadras, C. M., Lahlou, Y. Some orthogonal expansions for the logistic distribution. Comm. Stat.-Theor. Meth., 29 (12), 2643-2663, 2000.

4.      Cuadras, C. M., Cuadras, D. Principal directions for the normal random variable. Statistical Review, 2(2), 101-102, 2001.

5.      Cuadras, C. M., Cuadras, D. Orthogonal expansions and distinction between logistic and normal. In: Goodness-of-fit Tests and Validity Models. C. Huber-Carol, N. Balakrishnan, M.S. Nikulin, M. Mesbah, eds., pp.325-338, Birkhauser, Boston, 2002.

6.      Cuadras, C. M., Lahlou, Y. Principal components of the Pareto distribution. In: Distributions with given marginals and statistical modelling (C. M. Cuadras, J. Fortiana and J.A. Rodriguez-Lallena, Eds.), Kluwer Ac. Pub, Dordrecht, 43-50, 2002.

7.      Cuadras, C. M. First principal component characterization of a continuous random variable. In: Advances on Models, Characterizations and Applications ( N. Balakrishnan, I. Bairamov and O. Gebizlioglu, Eds.) . Chapman & Hall/CRC-Press, New York, pp. 189-199, 2005.

8.      Cuadras, C. M, Cuadras, D.,  Lahlou, Y. Principal directions of the general Pareto distribution with applications. Journal of Statistical Planning and Inference, 136, 2572-2583, 2006.

9.      Cuadras, C. M. Nonlinear principal and canonical directions from continuous extensions of multidimensional scaling. Open Journal of Statistics, 4 (2), 132-149, 2014.

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