Geodesic
A chain of inequalities for some types of multivariate distributions, with nine special cases
Applications of Mathematics, Tome 18 (1973) no. 2, pp. 110-118.

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Generalizing the result by Y. L. Tong, a chain of inequalities for probabilities in some types of multivariate distributions is proved. These inequalities embrace a large number of interesting special cases. Nine illustrations are given: cases of multivariate equicorrelated normal, $t,\chi^2$, Poisson, exponential distributions, normal and rank statistics for comparing many treatments with one control, order statistics used in estimating quantiles, and characteristic roots of covariance matrices in certain multiple sampling.
DOI : 10.21136/AM.1973.103457
Classification : 60E05, 62E10, 62H10 
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     title = {A chain of inequalities for some types of multivariate distributions, with nine special cases},
     journal = {Applications of Mathematics},
     pages = {110--118},
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Šidák, Zbyněk. A chain of inequalities for some types of multivariate distributions, with nine special cases. Applications of Mathematics, Tome 18 (1973) no. 2, pp. 110-118. doi : 10.21136/AM.1973.103457. http://geodesic.mathdoc.fr/articles/10.21136/AM.1973.103457/

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