Some charactheristics of the Arctangent distribution, proposed by Zenga in 1979, are analysed. The distribution of the maximum and of the minimum of the absolute value of the component of a Bivariate Correlated Normal r.v. are studied and used to improve confidence regions and corresponding tests of hypotheses for the two means of a Bivariate Correlated Normal.
Pollastri, A., Tornaghi, F. (2004). Some properties of the Arctangent distribution. STATISTICA & APPLICAZIONI, II(1), 3-18.
Some properties of the Arctangent distribution
POLLASTRI, ANGIOLA;
2004
Abstract
Some charactheristics of the Arctangent distribution, proposed by Zenga in 1979, are analysed. The distribution of the maximum and of the minimum of the absolute value of the component of a Bivariate Correlated Normal r.v. are studied and used to improve confidence regions and corresponding tests of hypotheses for the two means of a Bivariate Correlated Normal.
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