IDEAS home Printed from https://ideas.repec.org/p/cte/wsrepe/ws016614.html
   My bibliography  Save this paper

Dimension reduction transformations in discriminant analysis

Author

Listed:
  • Hernández, Adolfo

Abstract

Dimension reduction transformations in discriminant analysis are introduced. Their properties, as well as sufficient conditions for their characterization, are studied. Special attention is given to the continuous case, of particular importance in applications. An effective data based dimension reduction algorithm is proposed and its behavior illustrated in a classification problem where the class conditional probability distributions are multivariate normal with different covariance matrices

Suggested Citation

  • Hernández, Adolfo, 2001. "Dimension reduction transformations in discriminant analysis," DES - Working Papers. Statistics and Econometrics. WS ws016614, Universidad Carlos III de Madrid. Departamento de Estadística.
    • Handle: RePEc:cte:wsrepe:ws016614
    as

    Download full text from publisher

    File URL: https://e-archivo.uc3m.es/rest/api/core/bitstreams/3e1434db-83cb-48b5-84dc-d8c6389d08e5/content
    Download Restriction: no
    ---><---

    References listed on IDEAS

    as
    1. Schott, James R., 1993. "Dimensionality reduction in quadratic discriminant analysis," Computational Statistics & Data Analysis, Elsevier, vol. 16(2), pages 161-174, August.
    Full references (including those not matched with items on IDEAS)

    Most related items

    These are the items that most often cite the same works as this one and are cited by the same works as this one.
    1. Bouveyron, C. & Girard, S. & Schmid, C., 2007. "High-dimensional data clustering," Computational Statistics & Data Analysis, Elsevier, vol. 52(1), pages 502-519, September.
    2. Velilla, Santiago, 2010. "On the structure of the quadratic subspace in discriminant analysis," Journal of Multivariate Analysis, Elsevier, vol. 101(5), pages 1239-1251, May.
    3. Mkhadri, A. & Celeux, G. & Nasroallah, A., 1997. "Regularization in discriminant analysis: an overview," Computational Statistics & Data Analysis, Elsevier, vol. 23(3), pages 403-423, January.

    More about this item

    Statistics

    Access and download statistics

    Corrections

    All material on this site has been provided by the respective publishers and authors. You can help correct errors and omissions. When requesting a correction, please mention this item's handle: RePEc:cte:wsrepe:ws016614. See general information about how to correct material in RePEc.

    If you have authored this item and are not yet registered with RePEc, we encourage you to do it here. This allows to link your profile to this item. It also allows you to accept potential citations to this item that we are uncertain about.

    If CitEc recognized a bibliographic reference but did not link an item in RePEc to it, you can help with this form .

    If you know of missing items citing this one, you can help us creating those links by adding the relevant references in the same way as above, for each refering item. If you are a registered author of this item, you may also want to check the "citations" tab in your RePEc Author Service profile, as there may be some citations waiting for confirmation.

    For technical questions regarding this item, or to correct its authors, title, abstract, bibliographic or download information, contact: Ana Poveda (email available below). General contact details of provider: http://portal.uc3m.es/portal/page/portal/dpto_estadistica .

    Please note that corrections may take a couple of weeks to filter through the various RePEc services.

    IDEAS is a RePEc service. RePEc uses bibliographic data supplied by the respective publishers.