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Computability of Probability Distributions and Characteristic Functions

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 نشر من قبل Takakazu Mori
 تاريخ النشر 2013
  مجال البحث الهندسة المعلوماتية
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 تأليف Takakazu Mori




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As a part of our works on effective properties of probability distributions, we deal with the corresponding characteristic functions. A sequence of probability distributions is computable if and only if the corresponding sequence of characteristic functions is computable. As for the onvergence problem, the effectivized Glivenkos theorem holds. Effectivizations of Bochners theorem and de Moivre-Laplace central limit theorem are also proved.

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