Pazman, Andrej Geometry of Gaussian nonlinear regression. Parallel curves and confidence intervals. (English) Zbl 0499.62055 Kybernetika 18, 376-396 (1982). Page: −5 −4 −3 −2 −1 ±0 +1 +2 +3 +4 +5 Show Scanned Page Cited in 2 Documents MSC: 62J02 General nonlinear regression 62F25 Parametric tolerance and confidence regions 53A99 Classical differential geometry Keywords:Gaussian nonlinear regression; confidence intervals; nonlinear geometry of sample space PDF BibTeX XML Cite \textit{A. Pazman}, Kybernetika 18, 376--396 (1982; Zbl 0499.62055) Full Text: EuDML OpenURL References: [1] C. Atkinson A. F. S. Mitchell: Rao’s distance measure. Preprint of the Imperial College of Science and Technology, London 1972. · Zbl 0534.62012 [2] D. M. Bates D. G. Watts: Relative curvature measures of nonlinearity. J. Roy. Statist. Soc. B42 (1980), 1-25. · Zbl 0455.62028 [3] E. M. L. Beale: Confidence regions in non-linear estimation. J. Roy. Statist. Soc. B 22 (1960), 41-88. · Zbl 0096.13201 [4] E. A. Coddington N. Levinson: Theory of Ordinary Differential Equations. McGraw-Hill Comp., New York 1955. · Zbl 0064.33002 [5] J. Milnor: Morse Theory. Princeton Univ. Press, Princeton, N. J. 1963. · Zbl 0108.10401 [6] C. R. Rao: On the distance between two populations. Sankhya 9 (1949), 246-248. [7] S. Sternberg: Lectures on Differential Geometry. Second printing. Prentice-Hall, Englewood Cliffs 1965. This reference list is based on information provided by the publisher or from digital mathematics libraries. Its items are heuristically matched to zbMATH identifiers and may contain data conversion errors. It attempts to reflect the references listed in the original paper as accurately as possible without claiming the completeness or perfect precision of the matching.