Symmetrization Resistance on Groups
1 : Centro de Investigación en Matemáticas
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Joint work with Mokshay Madiman.
An asymmetric random variable X is said to be symmetrization resistant if every independent random variable Y that produces a symmetric sum X+Y has a greater entropy or variance than that of X. The concept was introduced using variance for real random variables by Kagan, Mallows, Shepp, Vanderbei, and Vardi (1999). We extend this concept to arbitrary groups G and explore what changes. All symmetrization-resistant distributions on the integers modulo 3 and 4 are identified. We also state some necessary conditions for a probability distribution to be symmetrization resistant. This talk is based on joint work with Mokshay Madiman (University of Delaware).
| Subject : | : | Talk |
| Topics | : | Probability Theory |
| PDF version | : |  PDF version |
