Jump to content

User:Mxxun/sandbox/Complete class theorem

From Wikipedia, the free encyclopedia

In Bayesian statistics and decision theory, the complete class theorems establish properties of certain classes of decision rules: that a class does not miss any strict improvements (i.e. that it is complete), or that any complete class can be approximated by a known family of rules.

Setting and statement

[edit]

Proof

[edit]

Variants

[edit]

Notes

[edit]

References

[edit]
  • Lehmann, E. L.; Casella, G. (1998). Theory of Point Estimation (2nd ed.). Springer. pp. 376–383. ISBN 0-387-98502-6.
  • Ferguson, Thomas S. (1967). Mathematical Statistics: A Decision Theoretic Approach. Academic Press. pp. 58–87. ISBN 978-1-4832-0780-3.
[edit]

Category:Bayesian statistics Category:Theorems in statistics Category:Optimal decisions