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A note on sufficient statistics and the exponential family

Published online by Cambridge University Press:  24 October 2008

G. M. Tallis
G. M. Tallis
Affiliation:
Division of Mathematical Statistics, C.S.I.R.O., 60 King Street, Newtown, N.S.W. 2042, Australia
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Extract

1. Introduction. The relationship between sufficient statistics and the exponential family was first investigated by Pitman (8) and Koopman (7). The treatments assumed a density function f(x; θ) which was at least differentiable with respect to both arguments.

Type
Research Article
Information
Mathematical Proceedings of the Cambridge Philosophical Society , Volume 69 , Issue 2 , March 1971 , pp. 309 - 313
Copyright
Copyright © Cambridge Philosophical Society 1971

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References

REFERENCES

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