The Distribution of Vector-valued Rademacher Series
نویسندگان
چکیده
Let X = P εnxn be a Rademacher series with vector-valued coefficients. We obtain an approximate formula for the distribution of the random variable ||X|| in terms of its mean and a certain quantity derived from the K-functional of interpolation theory. Several applications of the formula are given.
منابع مشابه
1 99 9 the Distribution of Vector - Valued Rademacher Series
Let X = ε n x n be a Rademacher series with vector-valued coefficients. We obtain an approximate formula for the distribution of the random variable ||X|| in terms of its mean and a certain quantity derived from the K-functional of interpolation theory. Several applications of the formula are given. In [6] the second-named author calculated the distribution of a scalar Rademacher series ε n a n...
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تاریخ انتشار 1966