## Annals of Statistics

### Some inequalities for symmetric convex sets with applications

T. W. Anderson

#### Abstract

Under appropriate conditions the probability of a convex symmetric set decreases as the spread or scatter of the distribution increases. This paper studies the conditions when the random vector has a symmetric unimodal distribution.

#### Article information

Source
Ann. Statist., Volume 24, Number 2 (1996), 753-762.

Dates
First available in Project Euclid: 24 September 2002

Permanent link to this document
https://projecteuclid.org/euclid.aos/1032894463

Digital Object Identifier
doi:10.1214/aos/1032894463

Mathematical Reviews number (MathSciNet)
MR1394986

Zentralblatt MATH identifier
0865.60009

#### Citation

Anderson, T. W. Some inequalities for symmetric convex sets with applications. Ann. Statist. 24 (1996), no. 2, 753--762. doi:10.1214/aos/1032894463. https://projecteuclid.org/euclid.aos/1032894463

#### References

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• STANFORD, CALIFORNIA 94305