Hostname: page-component-cd9895bd7-hc48f Total loading time: 0 Render date: 2024-12-25T05:15:19.191Z Has data issue: false hasContentIssue false
  • English
  • Français

Sufficient statistics and intrinsic accuracy

Published online by Cambridge University Press:  24 October 2008

E. J. G. Pitman
E. J. G. Pitman
Affiliation:
University of Tasmania, Hobart, Tasmania
Get access Rights & Permissions [Opens in a new window]

Extract

It is proved that if there exists a sufficient statistic for the estimation of an unknown parameter of a population, the frequency function of the population must be of a certain type.

It is shown that some modification of previous theory of the intrinsic accuracy of statistics is necessary when the range of the population sampled is a function of the parameter to be estimated.

Finally, the theory is extended to sufficient sets of statistics, i.e. sets of statistics which together contain all the information provided by a sample about an unknown parameter.

Type
Research Article
Information
Mathematical Proceedings of the Cambridge Philosophical Society , Volume 32 , Issue 4 , December 1936 , pp. 567 - 579
Copyright
Copyright © Cambridge Philosophical Society 1936

Access options

Get access to the full version of this content by using one of the access options below. (Log in options will check for institutional or personal access. Content may require purchase if you do not have access.)

References

REFERENCES

(1)Fisher, R. A., Phil. Trans. A, 222 (1922), 309.Google Scholar
(2)Fisher, R. A., Proc. Camb. Phil. Soc. 22 (1925), 700.CrossRefGoogle Scholar
(3)Fisher, R. A., Proc. Roy. Soc. A, 144 (1933), 285.Google Scholar
(4)Elderton, W. Palin, Frequency Curves and Correlation (1906).Google Scholar