Properly recorded estimate and confidence regions obtained by an approximate covariance operator in a special nonlinear model
Applications of Mathematics (1995)
- Volume: 40, Issue: 6, page 411-431
- ISSN: 0862-7940
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topWimmer, Gejza. "Properly recorded estimate and confidence regions obtained by an approximate covariance operator in a special nonlinear model." Applications of Mathematics 40.6 (1995): 411-431. <http://eudml.org/doc/32930>.
@article{Wimmer1995,
abstract = {The properly recorded standard deviation of the estimator and the properly recorded estimate are introduced. Bounds for the locally best linear unbiased estimator and estimate and also confidence regions for a linearly unbiasedly estimable linear functional of unknown parameters of the mean value are obtained in a special structure of nonlinear regression model. A sufficient condition for obtaining the properly recorded estimate in this model is also given.},
author = {Wimmer, Gejza},
journal = {Applications of Mathematics},
keywords = {properly recorded estimate; nonlinear regression; variances depending on the mean value parameters; confidence regions; bounds for the estimate; bounds; variance depending on mean value parameters; properly recorded standard deviation; properly recorded estimate; locally best linear unbiased estimator; confidence regions; linearly unbiasedly estimable linear functional; mean value},
language = {eng},
number = {6},
pages = {411-431},
publisher = {Institute of Mathematics, Academy of Sciences of the Czech Republic},
title = {Properly recorded estimate and confidence regions obtained by an approximate covariance operator in a special nonlinear model},
url = {http://eudml.org/doc/32930},
volume = {40},
year = {1995},
}
TY - JOUR
AU - Wimmer, Gejza
TI - Properly recorded estimate and confidence regions obtained by an approximate covariance operator in a special nonlinear model
JO - Applications of Mathematics
PY - 1995
PB - Institute of Mathematics, Academy of Sciences of the Czech Republic
VL - 40
IS - 6
SP - 411
EP - 431
AB - The properly recorded standard deviation of the estimator and the properly recorded estimate are introduced. Bounds for the locally best linear unbiased estimator and estimate and also confidence regions for a linearly unbiasedly estimable linear functional of unknown parameters of the mean value are obtained in a special structure of nonlinear regression model. A sufficient condition for obtaining the properly recorded estimate in this model is also given.
LA - eng
KW - properly recorded estimate; nonlinear regression; variances depending on the mean value parameters; confidence regions; bounds for the estimate; bounds; variance depending on mean value parameters; properly recorded standard deviation; properly recorded estimate; locally best linear unbiased estimator; confidence regions; linearly unbiasedly estimable linear functional; mean value
UR - http://eudml.org/doc/32930
ER -
References
top- 10.1214/aoms/1177693411, The Annals of Math. Statistics 42 (1971), 616-624. (1971) Zbl0234.62026MR0286236DOI10.1214/aoms/1177693411
- Handbuch Messtechnik und Qualitätsicherung, VEB Verlag Technik, Berlin, 1986. (1986)
- Statistische Methoden der Modellbildung III, Akademie Verlag, Berlin, 1984. (1984) Zbl0556.62051MR0755875
- Foundations of Estimation Theory, Elsevier, Amsterdam, 1988. (1988) MR0995671
- Jordan/Eggert/Kneissl Handbuch der Vermessungskunde, Band VI, Stuttgart, 1971. (1971)
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