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The information available in small samples

Published online by Cambridge University Press:  24 October 2008

M. S. Bartlett
M. S. Bartlett
Affiliation:
Queens' College
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Extract

When a probability distribution is specified by more than one parameter, the statistical information in a sample on an unknown α will usually depend on the values of the other unknowns. For large samples where the joint distribution of the estimates tends to normality, and the efficiency of the estimation to a maximum, little theoretical difficulty exists. In a discussion(1) of the more general theory of small samples, I have stressed the importance of properties of sufficiency.

Type
Research Article
Information
Mathematical Proceedings of the Cambridge Philosophical Society , Volume 32 , Issue 4 , December 1936 , pp. 560 - 566
Copyright
Copyright © Cambridge Philosophical Society 1936

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References

REFERENCES

(1)Bartlett, M. S., Proc. Roy. Soc. A, 154 (1936), 124–37.Google Scholar
(2)Fisher, R. A., The Design of Experiments (1935).Google Scholar
(3)Fisher, R. A., Annals of Eugenics, 6 (1935), 391–8.CrossRefGoogle Scholar
(4)Behrens, W. A., Landw. Jb. 68 (1929), 807–37.Google Scholar