truncated_normal_rule


truncated_normal_rule, a Fortran77 code which computes a quadrature rule for a normal probability density function (PDF), sometimes called a Gaussian distribution, that has been truncated to [A,+oo), (-oo,B] or [A,B].

Licensing:

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

Languages:

truncated_normal_rule is available in a C version and a C++ version and a Fortran77 version and a Fortran90 version and a MATLAB version and a Python version.

Related Data and Programs:

truncated_normal_rule_test

clenshaw_curtis_rule, a Fortran77 program which defines a Clenshaw Curtis quadrature rule.

LAGUERRE_RULE, a Fortran77 program which can compute and print a Gauss-Laguerre quadrature rule for estimating the integral of a function with density exp(-x) over the interval [0,+oo).

PATTERSON_RULE, a Fortran77 program which returns the points and weights of a 1D Gauss-Patterson quadrature rule of order 1, 3, 7, 15, 31, 63, 127, 255 or 511.

QUADRULE, a Fortran77 library which defines 1-dimensional quadrature rules.

TRUNCATED_NORMAL, a Fortran77 library which works with the truncated normal distribution over [A,B], or [A,+oo) or (-oo,B], returning the probability density function (PDF), the cumulative density function (CDF), the inverse CDF, the mean, the variance, and sample values.

Reference:

  1. Gene Golub, John Welsch,
    Calculation of Gaussian Quadrature Rules,
    Mathematics of Computation,
    Volume 23, Number 106, April 1969, pages 221-230.
  2. Norman Johnson, Samuel Kotz, Narayanaswamy Balakrishnan,
    Continuous Univariate Distributions,
    Second edition,
    Wiley, 1994,
    ISBN: 0471584940,
    LC: QA273.6.J6.
  3. Source Code:


    Last revised on 11 December 2023.