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The computation of standard normal distribution integral in any required precision based on reliability method

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Publication:5078436
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DOI10.1080/03610926.2018.1433855OpenAlexW2792023294MaRDI QIDQ5078436

Can Wang, Yuge Dong, Haimeng Zhang, Liangguo He, Ming-hui Wang

Publication date: 23 May 2022

Published in: Communications in Statistics - Theory and Methods (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1080/03610926.2018.1433855


zbMATH Keywords

conditional probabilityreliability theoryfailure probabilityfull probability formulastandard normal distribution integral


Mathematics Subject Classification ID

Statistics (62-XX)


Related Items (1)

The evaluation of bivariate normal probabilities for failure of parallel systems



Cites Work

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  • Numerical methods for scientists and engineers.
  • A uniform approximation to the right normal tail integral
  • A sigmoid approximation of the standard normal integral
  • An Efficient Polynomial Approximation to the Normal Distribution Function and Its Inverse Function
  • APPROXIMATION TO THE CUMULATIVE NORMAL DISTRIBUTION USING HYPERBOLIC TANGENT BASED FUNCTIONS
  • Rational Chebyshev Approximations for the Error Function


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