Skip to main content
SpringerLink
Log in

Fibre analysis and tangent models

  • Articles
  • Published:
Statistische Hefte Aims and scope Submit manuscript

Abstract

Available methods for deriving tests and confidence regions for multiparameter models seem seriously limited in their feasibility. This paper gives preliminary survey to some developing techniques that use conditioning as a primary device to derive tests and confidence regions. The techniques usefibre analysis which involves the conditional determination of OLS (observed level of significance); the techniques are available initally for models with pivotal quantities and for continuous exponential models. The techniques can then be extended to more general models using the notion of tangent model.

This is a preview of subscription content, log in via an institution to check access.

Access this article

Log in via an institution

Price excludes VAT (USA)
Tax calculation will be finalised during checkout.

Instant access to the full article PDF.

Institutional subscriptions

Similar content being viewed by others

References

  • Amari, S.-I. (1982). Geometrical theory of asymptotic ancillarity and conditional inference, Biometrika, 69, 1–17.

    Article  MATH  MathSciNet  Google Scholar 

  • Cox, D.R., Reid, N.R. (1985). Parameter orthogonalization and approximate conditional inference. Technical Report 15, Imperial College, Department of Mathematics.

  • Efron, B. (1978). The geometry of exponential families, Annals of Statistics, 6, 362–378.

    Article  MATH  MathSciNet  Google Scholar 

  • Evans, E., Fraser, D.A.S, Monette, G. (1985). On the sufficiency-conditionality to likelihood argument, Canadian Journal of Statistics, in revision.

  • Fraser, D.A.S. (1964). Local conditional sufficiency. J. Royal Statist. Soc. B, 26, 52–62.

    MATH  MathSciNet  Google Scholar 

  • Fraser, D.A.S. (1979). Inference and linear Models, Toronto: DAI, University of Toronto Bookroom.

    MATH  Google Scholar 

  • Fraser, D.A.S. (1985). Sequential parameter structure, conditional inference, and likelihood drop, submitted, Statistical Papers/Statistische Hefte.

  • Fraser, D.A.S., MacKay, K. (1975) Parameter factorization and inference based on significance, likelihood, and objective posterior, Annals Statistics, 3, 559–572.

    MATH  MathSciNet  Google Scholar 

  • Fraser, D.A.S., Massam, H. (1985) Conical tests: observed level of significance and confidence regions, Statistical Papers/Statistische Hefte, 26(1985), 1–18.

    Article  MATH  MathSciNet  Google Scholar 

Download references

Author information

Author notes

  1. D. A. S. Fraser

    Present address: University of Waterloo, Waterloo, Canada

Authors and Affiliations

  1. Dept. of Statistics, University of Toronto, M5S 1A1, Toronto, Ontario

    D. A. S. Fraser

  2. York University, Toronto, Canada

    D. A. S. Fraser

Authors
  1. D. A. S. Fraser
    View author publications

    You can also search for this author in PubMed Google Scholar

Rights and permissions

Reprints and permissions

About this article

Cite this article

Fraser, D.A.S. Fibre analysis and tangent models. Statistische Hefte 28, 163–181 (1987). https://doi.org/10.1007/BF02932598

Download citation

  • Received:

  • Revised:

  • Issue Date:

  • DOI: https://doi.org/10.1007/BF02932598

Keywords

Search

Navigation