| Title:
|
Estimation in connecting measurements with constraints of type II (English) |
| Author:
|
Marek, Jaroslav |
| Language:
|
English |
| Journal:
|
Acta Universitatis Palackianae Olomucensis. Facultas Rerum Naturalium. Mathematica |
| ISSN:
|
0231-9721 |
| Volume:
|
43 |
| Issue:
|
1 |
| Year:
|
2004 |
| Pages:
|
119-131 |
| Summary lang:
|
English |
| . |
| Category:
|
math |
| . |
| Summary:
|
This paper is a continuation of the paper [6]. It dealt with parameter estimation in connecting two–stage measurements with constraints of type I. Unlike the paper [6], the current paper is concerned with a model with additional constraints of type II binding parameters of both stages. The article is devoted primarily to the computational aspects of algorithms published in [5] and its aim is to show the power of $\mathbf{H}^*$-optimum estimators. The aim of the paper is to contribute to a numerical solution of the estimation problem in the two stage model, where constraints of type II occur in the second stage. (English) |
| Keyword:
|
two stage regression models |
| Keyword:
|
uncertainty of the type A and B |
| Keyword:
|
BLUE |
| Keyword:
|
$\mathbf{H}$–optimum estimators |
| MSC:
|
62H12 |
| MSC:
|
62J05 |
| MSC:
|
65C60 |
| idZBL:
|
Zbl 1060.62062 |
| idMR:
|
MR2124609 |
| . |
| Date available:
|
2009-08-21T12:54:48Z |
| Last updated:
|
2012-05-04 |
| Stable URL:
|
http://hdl.handle.net/10338.dmlcz/132941 |
| . |
| Reference:
|
[1] Kubáček L.: Two stage regression models with constraints.Math. Slovaca 43 (1993), 643–658. MR 1273716 |
| Reference:
|
[2] Kubáček L.: Štatistické modely pripojovacích meraní.In. Celoslovenský seminár “Modernizácia geodetických základov Slovenska”, zborník prednášok (ed. M. Petrovič), VÚGK Bratislava, 1993, 28–40. |
| Reference:
|
[3] Kubáček L., Kubáčková L.: Dvouetapové sítě s podmínkami typu I a II.In: Sborník příspěvků spolupracovníků k devadesátinám pana profesora Josefa Vykutila. (Ed. D. Dušátko), Praha–Brno, Vojenský zeměpisný ústav Praha 2002, 58–72. |
| Reference:
|
[4] Kubáčková L.: Foundations of Experimental Data Analysis. : CRC-Press, Boca Raton–Ann Arbor–London–Tokyo., 1992. MR 1244322 |
| Reference:
|
[5] Kubáček L., Marek J.: Partial optimum estimator in two stage regression model with constraints and a problem of equivalence.Math. Slovaca 54 (2004), (to appear). Zbl 1107.62051, MR 2181785 |
| Reference:
|
[6] Marek J.: Estimation in connecting measurement.Acta Univ. Palacki. Olomuc., Fac. rer. nat., Math. 43 (2003), 69–86. MR 2056023 |
| Reference:
|
[7] Marek J.: Statistical view on measurement in Czech and world literature.(submitted to proceedings of Datastat’03). |
| Reference:
|
[8] Kubáček L., Kubáčková L.: Statistics, Metrology (in Czech). Olomouc. : Publishing House of Palacký University., 2000. |
| . |
