Geometry of Gaussian nonlinear regression. Parallel curves and confidence intervals

Andrej Pázman

Kybernetika (1982)

  • Volume: 18, Issue: 5, page 376-396
  • ISSN: 0023-5954

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Pázman, Andrej. "Geometry of Gaussian nonlinear regression. Parallel curves and confidence intervals." Kybernetika 18.5 (1982): 376-396. <http://eudml.org/doc/29026>.

@article{Pázman1982,
author = {Pázman, Andrej},
journal = {Kybernetika},
keywords = {Gaussian nonlinear regression; confidence intervals; nonlinear geometry of sample space},
language = {eng},
number = {5},
pages = {376-396},
publisher = {Institute of Information Theory and Automation AS CR},
title = {Geometry of Gaussian nonlinear regression. Parallel curves and confidence intervals},
url = {http://eudml.org/doc/29026},
volume = {18},
year = {1982},
}

TY - JOUR
AU - Pázman, Andrej
TI - Geometry of Gaussian nonlinear regression. Parallel curves and confidence intervals
JO - Kybernetika
PY - 1982
PB - Institute of Information Theory and Automation AS CR
VL - 18
IS - 5
SP - 376
EP - 396
LA - eng
KW - Gaussian nonlinear regression; confidence intervals; nonlinear geometry of sample space
UR - http://eudml.org/doc/29026
ER -

References

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  1. C. Atkinson A. F. S. Mitchell, Rao's distance measure, Preprint of the Imperial College of Science and Technology, London 1972. (1972) 
  2. D. M. Bates D. G. Watts, Relative curvature measures of nonlinearity, J. Roy. Statist. Soc. B42 (1980), 1-25. (1980) MR0567196
  3. E. M. L. Beale, Confidence regions in non-linear estimation, J. Roy. Statist. Soc. B 22 (1960), 41-88. (1960) Zbl0096.13201MR0119289
  4. E. A. Coddington N. Levinson, Theory of Ordinary Differential Equations, McGraw-Hill Comp., New York 1955. (1955) MR0069338
  5. J. Milnor, Morse Theory, Princeton Univ. Press, Princeton, N. J. 1963. (1963) Zbl0108.10401MR0163331
  6. C. R. Rao, On the distance between two populations, Sankhya 9 (1949), 246-248. (1949) MR0031695
  7. S. Sternberg, Lectures on Differential Geometry, Second printing. Prentice-Hall, Englewood Cliffs 1965. (1965) MR0193578

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