MathGroup Archive 1999

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GaussianQuadrature and truncated normal

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  • Subject: [mg19492] GaussianQuadrature and truncated normal
  • From: "H. J. Wang" <hjwang at>
  • Date: Sat, 28 Aug 1999 15:53:15 -0400
  • Organization: Computing Center, Academia Sinica
  • Sender: owner-wri-mathgroup at


     Does anyone know how to do a numerical integration of a
truncated normal distribution using Gaussian quadratures?

     I have a function f(x,z), where x is an unknown parameter,
and z has a truncated normal probability distribution with E(z) = 0.
The maximum and minimum values of z are zmax and zmin, respectively. I
want to integrate f(x,z) over zmax and zmin, and express the result as
a finite sum of the `f()' function:  SUM_i f(x, g_i)*w_i.  But I guess
I cannot take the nods and weights (ie, {g_i, w_i}) directly from
Gaussian quadratures because z is NOT a simple normal but a truncated
normal.  Am I correct?  If so, how should I proceed?

     Any advice will be greatly appreciated.

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