Share This Article:

Fisher’s Fiducial Inference for Parameters of Uniform Distribution

Abstract Full-Text HTML Download Download as PDF (Size:167KB) PP. 589-594
DOI: 10.4236/am.2013.44083    2,549 Downloads   4,248 Views  

ABSTRACT

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.

Conflicts of Interest

The authors declare no conflicts of interest.

Cite this paper

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.

References

[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.

  
comments powered by Disqus

Copyright © 2018 by authors and Scientific Research Publishing Inc.

Creative Commons License

This work and the related PDF file are licensed under a Creative Commons Attribution 4.0 International License.