IDEAS home Printed from https://ideas.repec.org/a/eee/stapro/v30y1996i2p127-132.html
   My bibliography  Save this article

Geodesic submanifolds of a family of statistical models

Author

Listed:
  • De Sanctis, Angela

Abstract

Given the Riemannian manifold, determined by the Fisher information metric in the statistical model with location parameters induced by the family of probability density functions on : P[Omega] = {exp( - c([omega])x2 + [phi]([omega])x - [psi]([omega])): [omega] [epsilon] [Omega]} with c([omega]) > 0, for every [omega] [set membership, variant] [Omega], conditions are found for the level submanifolds to be geodesic.

Suggested Citation

  • De Sanctis, Angela, 1996. "Geodesic submanifolds of a family of statistical models," Statistics & Probability Letters, Elsevier, vol. 30(2), pages 127-132, October.
  • Handle: RePEc:eee:stapro:v:30:y:1996:i:2:p:127-132
    as

    Download full text from publisher

    File URL: http://www.sciencedirect.com/science/article/pii/0167-7152(95)00210-3
    Download Restriction: Full text for ScienceDirect subscribers only
    ---><---

    As the access to this document is restricted, you may want to search for a different version of it.

    References listed on IDEAS

    as
    1. Burbea, Jacob & del Castillo, Joan, 1992. "Geodesic submanifolds of statistical models with location parameters," Computational Statistics & Data Analysis, Elsevier, vol. 14(3), pages 301-313, October.
    2. Burbea J. & Oller J. M., 1988. "The Information Metric For Univariate Linear Elliptic Models," Statistics & Risk Modeling, De Gruyter, vol. 6(3), pages 209-222, March.
    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. Erni, Birgit & Bonnevie, Bo T. & Oschadleus, Hans-Dieter & Altwegg, Res & Underhill, Les G., 2013. "moult: An R Package to Analyze Moult in Birds," Journal of Statistical Software, Foundation for Open Access Statistics, vol. 52(i08).
    2. repec:jss:jstsof:13:i07 is not listed on IDEAS
    3. Roberto IMPICCIATORE & Francesco C. BILLARI, 2010. "MAPLES: a general method for the estimation of age profiles from standard demographic surveys (with an application to fertility)," Departmental Working Papers 2010-40, Department of Economics, Management and Quantitative Methods at Università degli Studi di Milano.
    4. García, Gloria & M. Oller, Josep, 2001. "Minimum Riemannian risk equivariant estimator for the univariate normal model," Statistics & Probability Letters, Elsevier, vol. 52(1), pages 109-113, March.
    5. Umlauf, Nikolaus & Adler, Daniel & Kneib, Thomas & Lang, Stefan & Zeileis, Achim, 2015. "Structured Additive Regression Models: An R Interface to BayesX," Journal of Statistical Software, Foundation for Open Access Statistics, vol. 63(i21).
    6. repec:jss:jstsof:14:i09 is not listed on IDEAS
    7. repec:jss:jstsof:27:i08 is not listed on IDEAS

    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:eee:stapro:v:30:y:1996:i:2:p:127-132. 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: Catherine Liu (email available below). General contact details of provider: http://www.elsevier.com/wps/find/journaldescription.cws_home/622892/description#description .

    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.