Article
Summary:
The paper contains come brief remarks on the preceding paper by J. Anděl. First, it discusses some simplifications in the bound for the remainder of Anděl's series. Second, it deals with a special case of covariance matrices for which this series has only non-negative terms.
References:
[1] J. Anděl:
On multiple normal probabilities of rectangles. Aplikace matematiky 16 (1971), 172-181.
MR 0285061
[4] C. W. Dunnett:
A multiple comparison procedure for comparing several treatments with a control. J. Amer. Statist. Assoc. 50 (1955), 1096-1121.
Zbl 0066.12603
[5] M. Fiedler V. Pták:
On matrices with non-positive off-diagonal elements and positive principal minors. Czech. Math. J. 12 (87) (1962), 382-400.
MR 0142565
[7] C. G. Khatri:
On certain inequalities for normal distributions and their applications to simultaneous confidence bounds. Ann. Math. Statist. 38 (1967), 1853-1867.
MR 0220392 |
Zbl 0155.27103
[9] Z. Šidák:
On probabilities of rectangles in multivariate Student distributions: their dependence on correlations. Ann. Math. Statist. 42 (1971), in print.
MR 0278354