On Computing Gaussian Curvature of Some Well Known Distributions
نویسنده
چکیده
The Gaussian curvature of the surface at the point p is the product of the maximum and minimum curvatures in the family. The objective of this paper is to provide a deeper and broader understanding of the meaning of Gaussian curvature, using some more general alternative computational methods. We define the coefficients of the expected Fisher Information Matrix as the coefficients of the first fundamental form. Four different formulas, found in Struik (1961), are used, although we do not intend to compare the superiority of these formulas in computing the Gaussian curvature. We found that all four formulas can compute the Gaussian curvature effectively and successfully. This is demonstrated with three common examples.
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