Mori, Takakazu and Tsujii, Yoshiki and Yasugi, Mariko - Computability of Probability Distributions and Characteristic Functions

lmcs:888 - Logical Methods in Computer Science, September 3, 2013, Volume 9, Issue 3
Computability of Probability Distributions and Characteristic Functions

Authors: Mori, Takakazu and Tsujii, Yoshiki and Yasugi, Mariko

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 Glivenko's theorem holds. Effectivizations of Bochner's theorem and de Moivre-Laplace central limit theorem are also proved.


Source : oai:arXiv.org:1307.6357
DOI : 10.2168/LMCS-9(3:9)2013
Volume: Volume 9, Issue 3
Published on: September 3, 2013
Submitted on: June 25, 2015
Keywords: Computer Science - Computational Complexity,Computer Science - Logic in Computer Science,Mathematics - Probability


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