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An Alternative Condition for Stochastic Domination

Part of: Combinatorial probability Foundations of probability theory

Published online by Cambridge University Press:  14 July 2016

Kenshi Hosaka
Kenshi Hosaka*
Affiliation:
Ritsumeikan University
*
∗Postal address: 1-1-1 Noji Higashi, Kusatsu, Shiga, Japan. Email address: khosaka@fc.ritsumei.ac.jp
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Abstract

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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.

Keywords

Strong likelihood ratio propertystochastic domination

MSC classification

Secondary: 60A10: Probabilistic measure theory 60C05: Combinatorial probability
Type
Research Article
Information
Journal of Applied Probability , Volume 46 , Issue 4 , December 2009 , pp. 1198 - 1200
Copyright
Copyright © Applied Probability Trust 2009 

References

[1] Georgii, H.-O., Häggström, O. and Maes, C. (2000). The random geometry of equilibrium phases. In Phase Transitions and Critical Phenomena, Vol. 18, eds Domb, C. and Lebowitz, J. L., Academic Press, London, pp. 1–142.Google Scholar
[2] Grimmett, G. (2006). The Random-Cluster Model. Springer, Berlin.CrossRefGoogle Scholar
[3] 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.Google Scholar
[4] Müller, A. and Stoyan, D. (2002). Comparison Methods for Stochastic Models and Risks. John Wiley, Chichester.Google Scholar
[5] Nagahata, Y. (2006). Private communication.Google Scholar
[6] Preston, C. J. (1974). A generalization of the FKG inequalities. Commun. Math. Phys. 36, 233–241.Google Scholar