Journal of Applied Probability

An alternative condition for stochastic domination

KENSHI HOSAKA
Source: J. Appl. Probab. Volume 46, Number 4 (2009), 1198-1200.

Abstract

We will propose an alternative condition for stochastic domination. This condition differs in an essential way from the strong likelihood ratio property. We also show an example which satisfies the new condition, but does not satisfy the strong likelihood ratio property.

First Page: Show Hide
Primary Subjects: 60A10
Secondary Subjects: 60C05
Full-text: Access denied (no subscription detected)
We're sorry, but we are unable to provide you with the full text of this article because we are not able to identify you as a subscriber.
If you have a personal subscription to this journal, then please login. If you are already logged in, then you may need to update your profile to register your subscription. Read more about accessing full-text
Links and Identifiers

Permanent link to this document: http://projecteuclid.org/euclid.jap/1261670697
Digital Object Identifier: doi:10.1239/jap/1261670697
Zentralblatt MATH identifier: 05665464
Mathematical Reviews number (MathSciNet): MR2582717

References

Georgii, H.-O., Häggström, O. and Maes, C. (2000). The random geometry of equilibrium phases. In Phase Transitions and Critical Phenomena, Vol. 18, eds C. Domb and J. L. Lebowitz, Academic Press, London, pp. 1--142.
Mathematical Reviews (MathSciNet): MR2014387
Digital Object Identifier: doi:10.1016/S1062-7901(01)80008-2
Grimmett, G. (2006). The Random-Cluster Model. Springer, Berlin.
Mathematical Reviews (MathSciNet): MR2243761
Karlin, S. and Rinott, Y. (1980). Classes of orderings of measures and related correlation inequalities. I. Multivariate totally positive distributions. J. Multivariate Anal. 10, 467--498.
Mathematical Reviews (MathSciNet): MR599685
Zentralblatt MATH: 0469.60006
Digital Object Identifier: doi:10.1016/0047-259X(80)90065-2
Müller, A. and Stoyan, D. (2002). Comparison Methods for Stochastic Models and Risks. John Wiley, Chichester.
Mathematical Reviews (MathSciNet): MR1889865
Nagahata, Y. (2006). Private communication.
Preston, C. J. (1974). A generalization of the FKG inequalities. Commun. Math. Phys. 36, 233--241.
Mathematical Reviews (MathSciNet): MR341553
Digital Object Identifier: doi:10.1007/BF01645981
Project Euclid: euclid.cmp/1103859733

2012 © Applied Probability Trust

Journal of Applied Probability

Journal of Applied Probability