• Arturo Kohatsu-HigaEmail author
  • Atsushi Takeuchi
Part of the Universitext book series (UTX)


We learn early in any probability theory course that in order to compute any significant quantity we need to have information regarding the distribution function of random variables. This issue appears not only in applied problems where actual computation needs to be carried out but also in theoretical problems where qualitative information of the distribution function is needed.

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© Springer Nature Singapore Pte Ltd. 2019

Authors and Affiliations

  1. 1.Department of Mathematical SciencesRitsumeikan UniversityKusatsuJapan
  2. 2.Department of MathematicsTokyo Woman’s Christian UniversityTokyoJapan

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