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Biometrika 1982 69(3):677-678; doi:10.1093/biomet/69.3.677
© 1982 by Biometrika Trust
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MISCELLANEA

On the unimodality of the likelihood for the Cauchy distribution: Some comments

GORM GABRIELSEN

Institute of Statistics, University of Copenhagen Copenhagen K, Denmark

Sufficient conditions for a local maximum to be global are discussed. The conditions are expressed in terms of likelihood and the results are applied to the Student t distribution.

Key Words: General linear model • Global optimality • Student t distribution


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