MathGroup Archive 1999

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GaussianQuadrature and truncated normal


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.


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