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Hermite polynomials and truncated trivariate normal distributions
Abstract:The moments of a trivariate and in general of a multivariate normal distribution, which is truncated with respect to a single variable, are obtained by using properties of Hermite polynomials. An expression for the truncated correlation coefficient is derived in terms of the true population correlation coefficient and the truncation point. The values of this truncated correlation coefficient are tabulated for given values of the true correlation coefficient and a few selected values of the truncation point. A listing of the computer program for this purpose is also given.
Keywords:Multivariate normal distribution  truncation  moments  Hermite polynomials  correlation coefficient  tabulation
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