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[00092] The explicit formulae for the distributions of words

  • Session Time & Room : 2C (Aug.22, 13:20-15:00) @G301
  • Type : Contributed Talk
  • Abstract : The distributions of the number of words play key roles in information theory, statistics, and DNA analysis. Bassino et al. 2010, Regnier et al. 1998, and Robin et al. 1999 showed generating functions of the distributions in rational forms. However, we can not expand rational functions except for simple cases and do not have explicit formulae for the distributions from them. 
We show the explicit formulae for the distributions of words for the Bernoulli models.
  • Classification : 05A05, 05A15, 60C05, 62E15
  • Format : Talk at Waseda University
  • Author(s) :
    • Hayato Takahashi (Random Data Lab. Inc. )