A sufficient statistic and a nonstandard linearization in nonlinear regression

Andrej Pázman

Kybernetika (1989)

  • Volume: 25, Issue: 6, page 441-452
  • ISSN: 0023-5954

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Pázman, Andrej. "A sufficient statistic and a nonstandard linearization in nonlinear regression." Kybernetika 25.6 (1989): 441-452. <http://eudml.org/doc/27823>.

@article{Pázman1989,
author = {Pázman, Andrej},
journal = {Kybernetika},
keywords = {nonlinear model; nonstandard linearization; maximum likelihood estimate; bias; posterior density; Confidence regions; nonlinear experimental design},
language = {eng},
number = {6},
pages = {441-452},
publisher = {Institute of Information Theory and Automation AS CR},
title = {A sufficient statistic and a nonstandard linearization in nonlinear regression},
url = {http://eudml.org/doc/27823},
volume = {25},
year = {1989},
}

TY - JOUR
AU - Pázman, Andrej
TI - A sufficient statistic and a nonstandard linearization in nonlinear regression
JO - Kybernetika
PY - 1989
PB - Institute of Information Theory and Automation AS CR
VL - 25
IS - 6
SP - 441
EP - 452
LA - eng
KW - nonlinear model; nonstandard linearization; maximum likelihood estimate; bias; posterior density; Confidence regions; nonlinear experimental design
UR - http://eudml.org/doc/27823
ER -

References

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  1. J. Anděl, Matematická statistika, (Mathematical Statistics.) SNTL/ALFA, Praha 1978. (1978) 
  2. D. M. Battes, D. G. Watts, Relative curvature measures of nonlinearity, J. Roy. Statist. Soc. Ser. B 42 (1980), 1-25. (1980) MR0567196
  3. L. Kubáček, Foundations of Estimation Theory, Elsevier, Amsterdam 1988. (Slovak edition: Základy teórie odhadu. Veda, Bratislava 1982.) (1988) MR0995671
  4. A. Pázman, Probability distribution of the multivariate nonlinear least squares estimates, Kybernetika 20 (1984), 209-230. (1984) MR0763647
  5. A. Pázman, On information matrices in nonlinear experimental design, J. Statist. Plann. Inference 21 (1989), 253-263. (1989) MR0985462
  6. R. C. Rao, Linear Statistical Inference and Its Applications, J. Wiley, New York 1973. (Czech translation: Lineární metody statistické indukce a jejich aplikace. Academia, Praha 1978.) (1973) Zbl0256.62002MR0346957
  7. A. Rényi, Teorie pravděpodobnosti, Academia, Praha 1972. (German original: Wahrscheinlichkeitsrechnung mit einem Anhang über Informationstheorie. VEB Deutscher Verlag d. Wissenschaften, Berlin 1962.) (1972) MR0148088

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