Abstract
This paper finds the mathematical forms of the distribution of the product where x and x follow a bivariate normal distribution In this paper the distribution when PT0 is expressed as an integral, a new, fundamental result. From this general form, six different cases can be distinguished depending on what is known about the parameters and p. The special cases are Aroian $year:1959 and (6) Additionally, we prove that if and as the distribution of the product approaches the Type III distribution. When p=0# Aroian $year:1959 and Aroian and Meeker $year:1977, give tables for various values of 6., 6 . The results in this paper will be used to provide brief tables for p^O in a separate paper
Keywords
MathematicsDistribution (mathematics)Product (mathematics)Normal distributionStatisticsMathematical analysisGeometry
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Publication Info
- Year
- 1978
- Type
- article
- Volume
- 7
- Issue
- 2
- Pages
- 165-172
- Citations
- 59
- Access
- Closed
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Cite This
Leo A. Aroian,
Vidya S. Taneja,
Larry W. Cornwell
(1978).
Mathematical forms of the distribution of the product of two normal variables.
Communication in Statistics- Theory and Methods
, 7
(2)
, 165-172.
https://doi.org/10.1080/03610927808827610
Identifiers
- DOI
- 10.1080/03610927808827610