Skip to main content
Log in

Views on conditional and marginal methods of statistical inference

  • Articles
  • Published:
Statistical Papers Aims and scope Submit manuscript

Abstract

Conditional and marginal likelihood analysis has a long history of development. Some recent methods using exact and approximate density and distribution functions lead to more sharply defined likelihoods and to accurate observed levels of significance for a wide range of problems including nonnormal regression and exponential linear models. These developments will be surveyed.

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

Access this article

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

Instant access to the full article PDF.

Similar content being viewed by others

References

  • Barndorff-Nielsen, O.E. (1983). On a formula for the distribution of the maximum likelihood estimator. Biometrika70, 343–365.

    Article  MATH  MathSciNet  Google Scholar 

  • Barndorff-Nielsen, O.E. and D.R. Cox (1979). Edgeworth and saddlepoint approximations with statistical applications. J. Roy. Statist. Soc. B41, 279–312.

    MATH  MathSciNet  Google Scholar 

  • Cox, D.R. and N. Reid (1987). Parameter orthogonality and approximate conditional inference (with discussion). J. Royal Statist. Soc. B49, 1–36.

    MATH  MathSciNet  Google Scholar 

  • Daniels, H. (1954). Saddlepoint approximations in statistics. Ann. Math. Statist.25, 631–650.

    Article  MathSciNet  MATH  Google Scholar 

  • Fraser, D.A.S. (1967). Data transformations and the linear model. Annals Math. Statist.38, 1456–1465.

    Article  MathSciNet  MATH  Google Scholar 

  • Fraser, D.A.S. (1968). The Structure of Inference. New York: Wiley, Toronto: DAI.

    MATH  Google Scholar 

  • Fraser, D.A.S. (1979). Inference and Linear Models. New York: McGraw Hill, Toronto: DAI.

    MATH  Google Scholar 

  • Fraser, D.A.S. (1987). Sequential parameter structure, conditional inference, and likelihood drop. Statist. Papers28, 27–52.

    MATH  MathSciNet  Google Scholar 

  • Fraser, D.A.S. and N. Reid (1988a). On comparing two methods for approximate conditional inference. Statist. Papers29, 271–280.

    Article  MATH  MathSciNet  Google Scholar 

  • Fraser, D.A.S. and N. Reid (1988b). Fibre analysis and conditional inference. Statistical Theory and Data Analysis (Ed.: K. Matusita), 241–247, Amsterdam: North Holland.

    Google Scholar 

  • Fraser, D.A.S. and N. Reid (1988c). On conditional inference for a real parameter: a differential approach on the sample space, Biometrika 75, 251–264.

    Article  MATH  MathSciNet  Google Scholar 

  • Peisakoff, M. (1951). Transformation parameters. Ph.D. thesis, Princeton University.

  • Kalbfleisch, J.D. and D.A. Sprott (1970). Application of likelihood methods to models involving large numbers of parameters. Jour. Roy Statist. Soc. B 32, 175–208.

    MATH  MathSciNet  Google Scholar 

Download references

Author information

Authors and Affiliations

Authors

Rights and permissions

Reprints and permissions

About this article

Cite this article

Fraser, D.A.S. Views on conditional and marginal methods of statistical inference. Statistical Papers 31, 83–93 (1990). https://doi.org/10.1007/BF02924678

Download citation

  • Received:

  • Revised:

  • Issue Date:

  • DOI: https://doi.org/10.1007/BF02924678

Keywords

Navigation