Biometrika 1980 67(2):287-292; doi:10.1093/biomet/67.2.287
© 1980 by Biometrika Trust
Likelihood as approximate pivotal distribution
D. V. HINKLEY
Department of Applied Statistics, University of Minnesota St Paul
For a single-parameter curved exponential family, it is shown that the conditional distribution of the maximum likelihood estimator is the normalized likelihood function, except for a relative error proportional to inverse sample size.
Key Words: Ancillary statistic Edgeworth expansion Exponential family Information Maximum likelihood estimate Sufficient statistic

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