GaussianQuadrature and truncated normal

*To*: mathgroup at smc.vnet.net*Subject*: [mg19492] GaussianQuadrature and truncated normal*From*: "H. J. Wang" <hjwang at ieas.econ.sinica.edu.tw>*Date*: Sat, 28 Aug 1999 15:53:15 -0400*Organization*: Computing Center, Academia Sinica*Sender*: owner-wri-mathgroup at wolfram.com

Hi, 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.