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We discuss frequent! properties of Ba~es rules, pa~ing special attention to consistency. Some new and fairly natural counterexamples are given, involving nonparametric estimates of location. E\ren...
Performance characteristics of Bayes estimates are studied. More exactly, for each subject in a data set, let 5 be a vector of binary covariates and let Y be a normal response variable, with E{YIE...
Dimer models are introduced by string theorists (see e.g. [6, 7, 8, 11, 12, 13]) to study supersymmetric quiver gauge theories in four dimensions. A dimer model is a bicolored graph on a 2-torus which...
Recently the second author introduced combinatorial principles that characterize supercompactness for inaccessible cardinals but can also hold true for small cardinals. We prove that the proper forcin...
In [4] Tait identifies a set of reflection principles which he calls 􀀀(2)n -reflection principles which Peter Koellner has shown to be consistent relative to an Erd¨os cardinal (!) in [1].
We show that the frequent claim that the implied tree prices exotic options consistently with the market is untrue if the local volatilities are subject to change and the market is arbitrage-free. In...

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