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Metrika

, Volume 25, Issue 1, pp 219–234 | Cite as

Empirical comparisons of some tests of separate families of hypotheses

  • B. de B. Pereira
Article

Summary

This paper is devoted to a comparison of the asymptotic tests of separate families of hypotheses proposed byCox [1961, 1962] and byAtkinson [1970]. The adequacy of the asymptotic results for finite samples is investigated and some conclusions reached. An examination of the terms which differentiate the two procedures is made. Empirical simulated results are discussed for cases involving the exponential, the lognormal and the Weibull distributions.

Keywords

Stochastic Process Probability Theory Economic Theory Weibull Distribution Asymptotic Result 
These keywords were added by machine and not by the authors. This process is experimental and the keywords may be updated as the learning algorithm improves.

Zusammenfassung

In dieser Arbeit wird ein Vergleich angestellt zwischen den Vorschlägen vonCox [1961, 1962] undAtkinson [1970] über asymptotische Tests separierter Familien von Hypothesen. Die Angemessenheit der asymptotischen Resultate für endliche Proben wird untersucht und einige Folgerungen gezogen. Eine Prüfung der Terme, die die beiden Verfahren differenzieren, wird vorgenommen. Empirisch simultierte Resultate werden distribuiert für Fälle mit exponential, lognormal und Weibull Verteilungen.

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References

  1. Atkinson, A.C.: A method for descriminating between models (with discussion). J.R. Statist. Soc. B.32, 1970, 323–353.Google Scholar
  2. Cox, D.R.: Tests of separate families of hypotheses. Proc. 4th Berkeley Symp.1, 1961, 105–123.Google Scholar
  3. : Further results on tests of separate families of hypotheses. J.R. Statist. Soc. B.24, 1962, 406–423.Google Scholar
  4. Jackson, O.A.Y.: Some results on tests of separate families of hypotheses. Biometrika55, 1968, 355–363.Google Scholar
  5. Pereira, B. de B.: Some results on tests of separate families of hypotheses. Ph.D. Thesis, University of London, 1976.Google Scholar
  6. : A note on the consistency and on the finite sample comparisons of some tests of separate families of hypotheses. Biometrika64, 1977, n 1. 109–113.Google Scholar

Copyright information

© Physica-Verlag Rudolf Liebing KG 1978

Authors and Affiliations

  • B. de B. Pereira
    • 1
  1. 1.Instituto de Matemática e COPPEUniversidade Federal do Rio de JaneiroRio de JaneiroBrasil

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