| Title:
|
Asymptotic criteria for designs in nonlinear regression with model errors (English) |
| Author:
|
Pázman, Andrej |
| Author:
|
Pronzato, Luc |
| Language:
|
English |
| Journal:
|
Mathematica Slovaca |
| ISSN:
|
0139-9918 |
| Volume:
|
56 |
| Issue:
|
5 |
| Year:
|
2006 |
| Pages:
|
543-553 |
| . |
| Category:
|
math |
| . |
| MSC:
|
62J02 |
| MSC:
|
62K05 |
| idZBL:
|
Zbl 1141.62061 |
| idMR:
|
MR2293586 |
| . |
| Date available:
|
2009-09-25T14:35:16Z |
| Last updated:
|
2012-08-01 |
| Stable URL:
|
http://hdl.handle.net/10338.dmlcz/128977 |
| . |
| Reference:
|
[1] BATES D. M.-WATTS D. G.: Nonlinear Regression Analysis and its Applications.Wileу, New York, 1988. Zbl 0728.62062, MR 1060528 |
| Reference:
|
[2] GALLANT A. R.: Nonlinear Statistical Models.Wileу, New York, 1987. Zbl 0611.62071, MR 0921029 |
| Reference:
|
[3] HARVILLE D. A.: Matrix Algebra from a Statistician's Perspective.Springer, New York, 1997. Zbl 0881.15001, MR 1467237 |
| Reference:
|
[4] IVANOV A. V.: Asymptotic Theory of Nonlinear Regression.Kluwer, Dordrecht, 1997. Zbl 0874.62070, MR 1472234 |
| Reference:
|
[5] JENNRICH R. L.: Asymptotic properties of nonlinear least squares estimation..Ann. Math. Statist. 40 (1969), 633-643. MR 0238419 |
| Reference:
|
[6] KIEFER J.: Optimum design for fitting biased multivariate surfaces.In: Multivariate Analуsis (P. R. Krishnaian, ed.), North Holland, Amsterdam, 1973, pp. 287-297. MR 0365936 |
| Reference:
|
[7] PÁZMAN A.: Nonlinear Statistical Models.Kluwer, Dordrecht, 1993. Zbl 0808.62058, MR 1254661 |
| Reference:
|
[8] PÁZMAN A.-PRONZATO L.: On the irregular behavior of LS estimators for asymptotically singular designs.Lab. IЗS, CNRS Sophia Antipolis. Rapport de recherche ISRN IЗS/RR-2005-12-FR, Juin 2005 [Statist. & Probab. Lett. 76 (2006), 1089-1096]. Zbl 1090.62076, MR 2269278 |
| Reference:
|
[9] PESOTCHINSKI L.: Optimal robust designs: linear regression in $R^k$.Ann. Statist. 10 (1982), 511-525. MR 0653526 |
| Reference:
|
[10] PUKELSHEIM F.: Optimal Experimental Design.Wileу, New York, 1993. MR 1211416 |
| Reference:
|
[11] WELCH W. J.: A mean squared error criterion for the design of experiments.Biometrika 70 (1983), 205-213. Zbl 0517.62066, MR 0742990 |
| . |
