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Geometry of Gaussian nonlinear regression. Parallel curves and confidence intervals. (English) Zbl 0499.62055


MSC:

62J02 General nonlinear regression
62F25 Parametric tolerance and confidence regions
53A99 Classical differential geometry
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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.
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