| Title:
|
Properly recorded estimate and confidence regions obtained by an approximate covariance operator in a special nonlinear model (English) |
| Author:
|
Wimmer, Gejza |
| Language:
|
English |
| Journal:
|
Applications of Mathematics |
| ISSN:
|
0862-7940 (print) |
| ISSN:
|
1572-9109 (online) |
| Volume:
|
40 |
| Issue:
|
6 |
| Year:
|
1995 |
| Pages:
|
411-431 |
| Summary lang:
|
English |
| . |
| Category:
|
math |
| . |
| Summary:
|
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. (English) |
| Keyword:
|
properly recorded estimate |
| Keyword:
|
nonlinear regression |
| Keyword:
|
variances depending on the mean value parameters |
| Keyword:
|
confidence regions |
| Keyword:
|
bounds for the estimate |
| MSC:
|
62F10 |
| MSC:
|
62F25 |
| MSC:
|
62J02 |
| MSC:
|
62J05 |
| idZBL:
|
Zbl 0845.62020 |
| idMR:
|
MR1353971 |
| DOI:
|
10.21136/AM.1995.134305 |
| . |
| Date available:
|
2009-09-22T17:49:27Z |
| Last updated:
|
2020-07-28 |
| Stable URL:
|
http://hdl.handle.net/10338.dmlcz/134305 |
| . |
| Reference:
|
[1] W.S. Cleveland: Projection with the wrong inner product and its application to regression with correlated errors and linear filtering of time series.The Annals of Math. Statistics 42 (1971), 616-624. Zbl 0234.62026, MR 0286236, 10.1214/aoms/1177693411 |
| Reference:
|
[2] D. Hofmann: Handbuch Messtechnik und Qualitätsicherung.VEB Verlag Technik, Berlin, 1986. |
| Reference:
|
[3] K.M.S. Humak: Statistische Methoden der Modellbildung III.Akademie Verlag, Berlin, 1984. Zbl 0556.62051, MR 0755875 |
| Reference:
|
[4] L. Kubáček: Foundations of Estimation Theory.Elsevier, Amsterdam, 1988. MR 0995671 |
| Reference:
|
[5] K. Rinner, F. Benz: Jordan/Eggert/Kneissl Handbuch der Vermessungskunde, Band VI.Stuttgart, 1971. |
| . |
