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Computing Jacobians using exterior products |
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| Authors: | Subhash C. Bagui Dulal K. Bhaumik |
| Affiliation: | aDepartment of Mathematics and Statistics, The University of West Florida, Pensacola, FL 32514, United States bDepartment of Biostatistics and Psychiatry, University of Illinois at Chicago, Chicago, IL 60612, United States |
| Abstract: | In this paper we describe an exterior product method for computing the Jacobian of a transformation. This alternative procedure is often simpler than the conventional determinant approach. We illustrate the proposed method via commonly used transformations in statistical distribution theory. |
| Keywords: | Differentials Exterior products Jacobian Polar transformation Other transformations |
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