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Two Practical Procedures for Estimating Multivariate Nonnormal Probability Density Functions

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  • C. Robert Taylor

Abstract

This article presents two procedures for empirically estimating nonnormal joint probability density functions (pdf's) that are operational with small samples. One procedure empirically estimates marginal distributions. Estimated marginal distributions are then used to transform variates to univariate normality; the transformed variates are assumed to have a multivariate normal distribution. The second approach exploits the identity that a joint distribution is the product of a conditional pdf and a marginal pdf. Conditional and marginal pdfs are individually estimated with this approach. Statistical tests for multivariate normality are also reviewed.

Suggested Citation

  • C. Robert Taylor, 1990. "Two Practical Procedures for Estimating Multivariate Nonnormal Probability Density Functions," American Journal of Agricultural Economics, Agricultural and Applied Economics Association, vol. 72(1), pages 210-217.
    • Handle: RePEc:oup:ajagec:v:72:y:1990:i:1:p:210-217.
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