Fieller's theorem and a generalization
- 1 December 1967
- journal article
- research article
- Published by Oxford University Press (OUP) in Biometrika
- Vol. 54 (3-4) , 567-572
- https://doi.org/10.1093/biomet/54.3-4.567
Abstract
The relation is discussed between Fieller's theorem for a ratio of normal means and the conditional distributions used to obtain similar regions in the Neyman-Pearson theory of testing hypotheses. The extension to the general exponential family of distributions is outlined and applications given to gamma and Poisson distributions.Keywords
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