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Distribucion final de referencia para el problema de Fieller-Creasy

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Trabajos de Estadistica y de Investigacion Operativa

Summary

The problem of making inferences about the ratio of two normal populations is usually known as the Fieller-Creasy problem, and it gave rise to a controversy among fiducialists and confidence-intervalists. A Bayesian solution to such a problem when the two normal populations have the same unknown variance was presented by Bernardo (1977) using reference “non-informative” prior distributions. The solution to the case in which the variances are not assumed equal is obtained here. Some numerical results for artificial populations are given.

Resumen

El problema de hacer inferencias sobre el cociente de las medias de dos poblaciones normales, conocido como problema de Fieller-Creasy, es de interés particular en las ciencias experimentales que continuamente necesitan hacer comparaciones relativas de diferentes métodos. Desde un punto de vista Bayesiano, el problema se reduce a calcular la distribución final de dicho cociente. En este trabajo se determina la distribución final de referencia, esto es utilizando tan sólo la información proporcionada por los datos, para el caso de dos poblaciones independientes con varianzas desconocidas y no necesariamente iguales, comprobando el funcionamiento de la solución obtenida frente a los datos históricos de Cushny-Peebles y a muestras simuladas.

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Authors and Affiliations

  1. Departamento de Bioestadística, Universidad de Valencia, Valencia, España

    M. Sendra

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  1. M. Sendra
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Sendra, M. Distribucion final de referencia para el problema de Fieller-Creasy. Trabajos de Estadistica y de Investigacion Operativa 33, 55–72 (1982). https://doi.org/10.1007/BF02888434

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  • DOI: https://doi.org/10.1007/BF02888434

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Clasificación AMS (1980)

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