Problems of sensitiveness and linearization in a determination of isobestic points

Lubomír Kubáček; Eva Fišerová

Mathematica Slovaca (2003)

  • Volume: 53, Issue: 4, page 407-426
  • ISSN: 0232-0525

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Kubáček, Lubomír, and Fišerová, Eva. "Problems of sensitiveness and linearization in a determination of isobestic points." Mathematica Slovaca 53.4 (2003): 407-426. <http://eudml.org/doc/34582>.

@article{Kubáček2003,
author = {Kubáček, Lubomír, Fišerová, Eva},
journal = {Mathematica Slovaca},
keywords = {isobestic point; regression model with constraints; weak nonlinearity; sensitiveness},
language = {eng},
number = {4},
pages = {407-426},
publisher = {Mathematical Institute of the Slovak Academy of Sciences},
title = {Problems of sensitiveness and linearization in a determination of isobestic points},
url = {http://eudml.org/doc/34582},
volume = {53},
year = {2003},
}

TY - JOUR
AU - Kubáček, Lubomír
AU - Fišerová, Eva
TI - Problems of sensitiveness and linearization in a determination of isobestic points
JO - Mathematica Slovaca
PY - 2003
PB - Mathematical Institute of the Slovak Academy of Sciences
VL - 53
IS - 4
SP - 407
EP - 426
LA - eng
KW - isobestic point; regression model with constraints; weak nonlinearity; sensitiveness
UR - http://eudml.org/doc/34582
ER -

References

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  1. ANTOCH J.-HUŠKOVÁ M.-JARUŠKOVÁ D., Change point problem after ten years, In: ROBUST'98, JČMF, 1998, pp. 1-42. (1998) 
  2. BATES D. M.-WATTS D. G., Relative curvature measures of nonlinearity, J. Roy Statist. Soc. Ser. B 42 (1980), 1-25. (1980) Zbl0455.62028MR0567196
  3. GEN L.-DEVYATOVA T.-IVANOV V., Some analytical aspects of the use of the isobestic point, J. Anal. Chem. (USSR) 38 (1983), 147-157. (1983) 
  4. KUBÁČEK L.-KUBÁČKOVÁ L., Statistics and Metrology, VUP, Olomouc, 
  5. KUBÁČEK L., On an accuracy of change points, Math. Slovaca 52 (2002), 2000. (Czech) 469-484. Zbl1014.62022MR1940250
  6. KUBÁČEK L., Statistical problems of a determination of isobestic points, In: Proceedings of Summer School Datastat 01. Folia Fac. Sci. Natur. Univ. Masaryk. Brun. Math. 11 (2002), 139-150. Zbl1046.62067MR1994204
  7. KUBÁČEK L.-LEŠANSKÁ E., Isobestic points: sensitiveness and linearization, In: Probastat'02. Proceedings (Submitted). Zbl1065.62118
  8. LEŠANSKÁ E., Insensitivity Regions in Mixed Models, Dissertation Thesis, Faculty of Science, Palacky University, Olomouc, 2001. (Czech) 
  9. LEŠANSKÁ E., Effect of inaccurate variance components in mixed models with constraints, In: Proceedings of Summer School Datastat 01. Folia Fac. Sci. Natur. Univ. Masaryk. Brun. Math. 11 (2002), 163-172. Zbl1046.62070MR1994206
  10. RAO C. R.-MITRA S. K., Generalized Inverse of Matrices and Its Applications, J. Wiley & Sons, New York-London-Sydney-Toronto, 1971. (1971) Zbl0236.15005MR0338013
  11. RAO C. R.-KLEFFE J., Estimation of Variance Components and Applications, North-Holland, Amsterdam-New York-Oxford-Tokyo, 1988. (1988) Zbl0645.62073MR0933559

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