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Testing the Mean Vector and the Correlation Coefficient in Life‐Testing Under Bivariate Normality
Author(s) -
Tiku M. L.,
Gill P. S.
Publication year - 1990
Publication title -
biometrical journal
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 1.108
H-Index - 63
eISSN - 1521-4036
pISSN - 0323-3847
DOI - 10.1002/bimj.4710320802
Subject(s) - normality , bivariate analysis , statistics , mathematics , correlation coefficient , correlation , normality test , multivariate normal distribution , econometrics , statistical hypothesis testing , multivariate statistics , geometry
In life‐testing situations under bivariate normality of ( X, U ), a few smallest or a few largest Y ‐observations may not be available. Tests for μ = 0 (mean vector) and o = 0 (correlation coefficient) are developed from the available Y ‐observations and their concomitant X ‐observations. The robustness of these tests to departures from normality is investigated.

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