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- W1836112084 abstract "We develop an easy and direct way to define and compute the fiducial distribution of a real parameter for both continuous and discrete exponential families. Furthermore, such a distribution satisfies the requirements to be considered a confidence distribution. Many examples are provided for models, which, although very simple, are widely used in applications. A characterization of the families for which the fiducial distribution coincides with a Bayesian posterior is given, and the strict connection with Jeffreys prior is shown. Asymptotic expansions of fiducial distributions are obtained without any further assumptions, and again, the relationship with the objective Bayesian analysis is pointed out. Finally, using the Edgeworth expansions, we compare the coverage of the fiducial intervals with that of other common intervals, proving the good behaviour of the former." @default.
- W1836112084 created "2016-06-24" @default.
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- W1836112084 date "2014-09-12" @default.
- W1836112084 modified "2023-09-25" @default.
- W1836112084 title "Fiducial and Confidence Distributions for Real Exponential Families" @default.
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- W1836112084 doi "https://doi.org/10.1111/sjos.12117" @default.
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