asa066


asa066, a FORTRAN90 code which computes the cumulative density function (CDF) of the standard normal distribution, by David Hill.

The code is Applied Statistics Algorithm 66.

Licensing:

The computer code and data files described and made available on this web page are distributed under the MIT license

Languages:

asa066 is available in a C version and a C++ version and a FORTRAN90 version and a MATLAB version.

Related Data and Programs:

asa066_test

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GSL, a C++ library which includes many routines for evaluating probability distributions.

NORMAL, a FORTRAN90 code which samples the normal distribution.

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UNIFORM, a FORTRAN90 code which samples the uniform distribution.

Author:

Original FORTRAN77 version by David Hill; FORTRAN90 version by John Burkardt.

Reference:

  1. AG Adams,
    Algorithm 39: Areas Under the Normal Curve,
    Computer Journal,
    Volume 12, Number 2, May 1969, pages 197-198.
  2. John Hart, Ward Cheney, Charles Lawson, Hans Maehly, Charles Mesztenyi, John Rice, Henry Thacher, Christoph Witzgall,
    Computer Approximations,
    Wiley, 1968,
    LC: QA297.C64.
  3. David Hill,
    Algorithm AS 66: The Normal Integral,
    Applied Statistics,
    Volume 22, Number 3, 1973, pages 424-427.

Source Code:


Last revised on 27 August 2021.