New improvements in old approximations to the Normal CDF

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The list of approximations to the Normal cumulative distribution function is long and, eventually, not fully known due to the large number of published articles in the last decades. In this paper we will present new improvements in some well known approximations, without increasing the complexity of the formulas.

Original languageEnglish
Pages (from-to)83-89
Number of pages7
JournalInternational Journal of Applied Mathematics
Issue number1
Publication statusPublished - 2019


  • Approximation
  • Improvement
  • Maximum absolute error
  • Normal cumulative distribution function


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