Fiducial Distributions and Prior Distributions: An Example in Which the Former Cannot be Associated with the Latter

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Summary A class of one-parameter distributions is specified, for which the sample total is a sufficient statistic in samples of arbitrary size. It is proved that the resulting fiducial distribution of the parameter does not coincide with the distribution, a posteriori, given by Bayes' theorem, for any prior distribution whatever.

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P. M. Grundy (Sun,) studied this question.

synapsesocial.com/papers/6a1bff995b8f4ede65a95e2b https://doi.org/https://doi.org/10.1111/j.2517-6161.1956.tb00226.x

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Fiducial Distributions and Prior Distributions: An Example in Which the Former Cannot be Associated with the Latter

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