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On inequalities for outlier detection in statistical data analysis
Chaganty, N. R., & Vaish, A. (1997). On inequalities for outlier detection in statistical data analysis. Journal of Applied Statistical Science, 6(4), 235-243.
In this paper we obtain some inequalities for quadratic forms involving a symmetric matrix and a positive semidefinite matrix. As special cases of those inequalities, we deduce several known inequalities that are useful for the detection of outliers in statistical data analysis. We also extend Scheffe's S-method of construction of simultaneous confidence intervals for the case where the design matrix is not of full rank and the set of estimable functions are linearly dependent.
