The square negative correlation property for generalized Orlicz balls
نویسنده
چکیده
Recently Antilla, Ball and Perissinaki proved that the squares of coordinate functions in ln p are negatively correlated. This paper extends their results to balls in generalized Orlicz norms on Rn. From this, the concentration of the Euclidean norm and a form of the Central Limit Theorem for the generalized Orlicz balls is deduced. Also, a counterexample for the square negative correlation hypothesis for 1-symmetric bodies is given.
منابع مشابه
2 3 Se p 20 09 A simpler proof of the negative association property for absolute values of measures tied to generalized Orlicz balls ∗ †
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