Summary
The concept of fiducial probability was introduced by Fisher (1930) as applied to the coefficient of correlation. Since then it has been discussed by means of various examples, such as in Fisher (1956), and has been the subject of much controversy and criticism. It is the purpose of this paper to examine fiducial probability in the light of these criticisms, and to consider alternative procedures designed to overcome them.
Zusammenfassung
Das Konzept der Fiduzialwahrscheinlichkeit wurde von Fisher (1930) eingeführt, und zwar angewandt auf den Korrelationskoeffizienten. Seit damals ist es in einer Vielzahl von Beispielen diskutiert worden, wie zum Beispiel bei Fisher (1956), und war Gegenstand vieler Kontroversen und kritischer Einwände. Es ist das Ziel dieses Artikels, die Fiduzialwahrscheinlichkeit im Lichte dieser Kritik zu überprüfen und geeignete Möglichkeiten zu betrachten, diese Kritik zu überwinden.
Résumé
La conception de la probabilité fiducielle a été introduite par Fisher (1930), appliqueé au coéfficient de corrélation. Des lors elle a été discutée au moyen de différents exemples comme par exemple par Fisher (1956) et a été objet de nombreuses controverses et critiques. C’est le but de cet article d’examiner la probabilité fiducielle au regard de ces critiques et de considérer des procédés alternatifs pour les surmonter.
РЕЖЮМЕ
Концепция доверительной вероятности была разработана Фищером (в 1930 г.), а именно применительно к коЭффициенту корреляции. С тех пор она диску?тировалась на многочисленных примерах, например Фищером (в 1956 г.) и была предметом многих разногласий и критических возражений. Целью Этой статьи является пересмотреть доверительную вероятность в свете Этой кри?тики и анализировать способные к преодолению Этой критики возможности.
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Kalbfleisch, J.G., Sprott, D.A. Fiducial probability. Statistische Hefte 8, 99–109 (1967). https://doi.org/10.1007/BF02923493
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DOI: https://doi.org/10.1007/BF02923493