83
Views
14
CrossRef citations to date
0
Altmetric
Original Articles

Some orthogonal expansions for the logistic distribution

&
Pages 2643-2663 | Received 01 May 1999, Published online: 27 Jun 2007

  • Anderson , T. W. and Stephens , M. A. 1997 . The continuous and discrete Brownian Bridges: representations and applications . Linear Algebra and its Applications , 264 : 145 – 271 .
  • Angnlo , J.M. and Ruiz-Medina , M. D. 1997 . On the orthogonal representation of generalized random fields . Statistics and Probability Letters , 31 : 145 – 153 .
  • Arnold , B. C. 1996 . “ Distributions with logistic marginals and /or conditionals ” . In Distributions with Fixed Marginals and Related Topics , Edited by: Ruschendorf , L. , Schweizer , B. and Taylor , M.D. Vol. 28 , 15 – 32 . California : Hayward . IMS Lecture Notes-Monograph Series
  • Cuadras , C. M. 1998 . “ On the covariance between functions ” . In Mathematics Preprint Series , Vol. 259 , University of Barcelona .
  • Cuadras , C. M. and Arenas , C. 1990 . A distance based regression model for prediction with mixed data . Comm. Stat.-Theor. Meth , 19 : 2261 – 2279 .
  • Cuadras , C. M. , Arenas , C. and Fortiana , J. 1996 . Some computational aspects of a distance-based model for prediction . Comm. Stat.-Simul. Comp , 25 : 593 – 609 .
  • Cuadras , C. M. , Atkinson , R. A. and Fortiana , J. 1997 . Probability densities from distances and discriminant analysis . Statistics and Probability Letters , 33 : 405 – 411 .
  • Cuadras , C. M. and Fortiana , J. 1993 . “ Continuous metric scaling and prediction ” . In Multivariate Analysis, Future Directions , Edited by: Cuadras , C. M. and Rao , C. R. Vol. 2 , 47 – 86 . Amsterdam : Elsevier Science Publishers B. V. (North-Holland) .
  • Cuadras , C. M. and Fortiana , J. 1994 . “ Ascertaining the underlying distribution of a data set ” . In Selected Topics on Stochastic Modelling , Edited by: Gutierrez , R. and Valderrama , M. J. 223 – 230 . Singapore : World-Scientific .
  • Cuadras , C. M. and Fortiana , J. 1995 . A continuous metric scaling solution for a random variable . Journal of Multivariate Analysis , 52 : 1 – 14 .
  • Cuadras , C. M. and Fortiana , J. 1996 . “ Weighted continuous metric scaling ” . In Multidimensional Statistical Analysis and Theory of Random Matrices , Edited by: Gupta , A. K. and Girko , V. L. 27 – 40 . Zeist : VSP . Netherlands
  • Cuadras , C. M. and Fortiana , J. 2000 . “ The importance of geometry in multivariate analysis and some applications ” . In Statistics for the 21st Century , Edited by: Rao , C.R. and Szekely , G. 93 – 108 . N. York : Marcel Dekker .
  • Cuadras , C. M. , Fortiana , J. and Oliva , F. 1997 . The proximity of an individual to a population with applications in discriminant analysis . Journal of Classification , 14 : 117 – 136 .
  • Doob , J. L. 1953 . Stochastic Processes , N. York : Wiley .
  • Durbin , J. and Knott , G. M. 1972 . Components of Cramer von Mises statistics. I . J. Royal Stat. Soc , B 34 : 290 – 307 .
  • Fortiana , J. and Cuadras , C. M. 1997 . A family of matrices, the dis-cretized Brownian Bridge and distance-based regression . Linear Algebra and its Applications , 264 : 173 – 188 .
  • Liu , Z. 1991 . Bootstrapping one way analysis of Rao's quadratic entropy . Comm. Stat-Theor. Meth , 20 : 1683 – 1703 .
  • Loeve , M. 1963 . Probability Theory , Princenton : Van Nostrand .
  • Rao , C. R. 1982 . Diversity: its measurement, decomposition, apportionment and analysis . Sankhya , A 44 : 1 – 21 .
  • Schoenfeld , D. 1980 . Tests based on linear combinations of the orthogonal components of the Cramer-von Mises statistic when parameters are estimated . The Annals of Statistics , 8 : 1017 – 1022 .
  • Shorack , G. R. and Wellner , J. A. 1986 . Empirical processes with applications to statistics , N. York : Wiley .
  • Stephens , M. A. 1979 . Tests of fit for the logistic distribution based on the empirical distribution function . Biomeirika , 66 : 591 – 595 .

Reprints and Corporate Permissions

Please note: Selecting permissions does not provide access to the full text of the article, please see our help page How do I view content?

To request a reprint or corporate permissions for this article, please click on the relevant link below:

Academic Permissions

Please note: Selecting permissions does not provide access to the full text of the article, please see our help page How do I view content?

Obtain permissions instantly via Rightslink by clicking on the button below:

If you are unable to obtain permissions via Rightslink, please complete and submit this Permissions form. For more information, please visit our Permissions help page.