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Fisher’s Fiducial Inference for Parameters of Uniform Distribution

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DOI: 10.4236/am.2013.44083    2,549 Downloads   4,248 Views  


Fisher’s Fiducial Inference for the parameters of a totality uniformly distributed on [α, β] is discussed. The corresponding fiducial distributions are derived. The maximum fiducial estimators, fiducial median estimators and fiducial expect estimators of α and β are got. The problems about the fiducial interval, fiducial region and hypothesis testing are discussed. An example which showed that Neyman-Pearson’s confidence interval has some place to be improved is illustrated. An idea about deriving fiducial distribution is proposed.

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The authors declare no conflicts of interest.

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K. Wu, P. Chang, Y. Ma and T. Dong, "Fisher’s Fiducial Inference for Parameters of Uniform Distribution," Applied Mathematics, Vol. 4 No. 4, 2013, pp. 589-594. doi: 10.4236/am.2013.44083.


[1] R. A. Fisher, “Inverse Probability,” Proceedings of the Cambridge Philosophical Society, Vol. 26, 1930, pp. 528-535.
[2] S. L. Zabell, “R. A. Fisher and the Fiducial Argument,” Statistical Science, Vol. 7, No. 3, 1992, pp. 369-387. doi:10.1214/ss/1177011233
[3] J. C. Fan and K. F. Wu, “A Introduction of Statistical Inference,” Science Press, Beijing, 2001.
[4] K. F. Wu, “The Relativity of Randomness and Fisher’s Fiducial Inference,” The 4th ICSA Statistical Conference, 1998, Kunming, Abstracts #88.

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