7 教育 OKUI, Ryo

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Secondly, the reformulation of the solution of (2.1) in Theorem 3.1 has certain advantages; if an almost sure estimate on the rate of decay of U can be obtained, the problem reduces

A NOTE ON SUMS OF POWERS WHICH HAVE A FIXED NUMBER OF PRIME FACTORS.. RAFAEL JAKIMCZUK D EPARTMENT OF

In this section we give rates of convergence in the almost sure invariance principle for a stationary sequence (X i ) i∈Z satisfying some weak dependence conditions specified

In particular, for a separable class of probability measures, we first construct a quasi sure stochastic integral and then prove all classical results such as Kolmogrov

A lemma of considerable generality is proved from which one can obtain inequali- ties of Popoviciu’s type involving norms in a Banach space and Gram determinants.. Key words

小牧市教育委員会 豊明市教育委員会 岩倉市教育委員会 知多市教育委員会 安城市教育委員会 西尾市教育委員会 知立市教育委員会

Key words: Perturbed Empirical Distribution Functions, Strong Mixing, Almost Sure Representation, U-statistic, Law of the Iterated Logarithm, Invariance Principle... AMS