1999
DOI: 10.1006/jmva.1998.1784
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A Nonsymmetric Correlation Inequality for Gaussian Measure

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Cited by 49 publications
(20 citation statements)
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“…[10] p. 17), while the inequality on the right is an improvement of an earlier result of Komatsu due to [23].…”
Section: Inequalities For φmentioning
confidence: 66%
See 1 more Smart Citation
“…[10] p. 17), while the inequality on the right is an improvement of an earlier result of Komatsu due to [23].…”
Section: Inequalities For φmentioning
confidence: 66%
“…Now instead of the Mills' ratio bound (16) for the tail of the normal distribution, we use the upper bound part of (18) due to [23]. This yields…”
Section: Inequalities For φmentioning
confidence: 99%
“…The next non-symmetric result is related to a statement of Szarek & Werner [20]. They proved that, for every convex body A of R n and for every strip B symmetric with respect to the Gaussian barycenter of A, γ n (A∩B) γ n (A)γ n (B).…”
Section: Applications Of a Results Of Caffarellimentioning
confidence: 87%
“…In fact, a log-concave function is also quasi-concave (G()~x + (1 -~. )y) > min(G (x), G (y))) and so a proof of (5.2) for symmetric quasi-concave functions will also prove (6.1) (again see Pitt [16], and also Hu [7], Schechtman et al [21], and Szarek and Wermer [22]). Second order characterizations of smooth quasi-concave exist (see Crouzeix and Ferland [3]).…”
Section: Some Concluding Remarks On a Gaussian Correlation Conjecturementioning
confidence: 95%