# Estimation in connecting measurements with constraints of type II

Acta Universitatis Palackianae Olomucensis. Facultas Rerum Naturalium. Mathematica (2004)

- Volume: 43, Issue: 1, page 119-131
- ISSN: 0231-9721

## Access Full Article

top## Abstract

top## How to cite

topMarek, Jaroslav. "Estimation in connecting measurements with constraints of type II." Acta Universitatis Palackianae Olomucensis. Facultas Rerum Naturalium. Mathematica 43.1 (2004): 119-131. <http://eudml.org/doc/32351>.

@article{Marek2004,

abstract = {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.},

author = {Marek, Jaroslav},

journal = {Acta Universitatis Palackianae Olomucensis. Facultas Rerum Naturalium. Mathematica},

keywords = {two stage regression models; uncertainty of the type A and B; BLUE; $\mathbf \{H\}$–optimum estimators; two stage regression models; uncertainty of type A and B; BLUE},

language = {eng},

number = {1},

pages = {119-131},

publisher = {Palacký University Olomouc},

title = {Estimation in connecting measurements with constraints of type II},

url = {http://eudml.org/doc/32351},

volume = {43},

year = {2004},

}

TY - JOUR

AU - Marek, Jaroslav

TI - Estimation in connecting measurements with constraints of type II

JO - Acta Universitatis Palackianae Olomucensis. Facultas Rerum Naturalium. Mathematica

PY - 2004

PB - Palacký University Olomouc

VL - 43

IS - 1

SP - 119

EP - 131

AB - 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.

LA - eng

KW - two stage regression models; uncertainty of the type A and B; BLUE; $\mathbf {H}$–optimum estimators; two stage regression models; uncertainty of type A and B; BLUE

UR - http://eudml.org/doc/32351

ER -

## References

top- Kubáček L., Two stage regression models with constraints, Math. Slovaca 43 (1993), 643–658. (1993) MR1273716
- Kubáček L., Štatistické modely pripojovacích meraní, In. Celoslovenský seminár “Modernizácia geodetických základov Slovenska”, zborník prednášok (ed. M. Petrovič), VÚGK Bratislava, 1993, 28–40. (1993)
- 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.
- Kubáčková L.: Foundations of Experimental Data Analysis., CRC-Press, Boca Raton–Ann Arbor–London–Tokyo, , 1992. (1992) MR1244322
- 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). Zbl1107.62051MR2181785
- Marek J., Estimation in connecting measurement, Acta Univ. Palacki. Olomuc., Fac. rer. nat., Math. 43 (2003), 69–86. MR2056023
- Marek J., Statistical view on measurement in Czech and world literature, (submitted to proceedings of Datastat’03).
- Kubáček L., Kubáčková L.: Statistics, Metrology (in Czech). Olomouc., Publishing House of Palacký University, , 2000.

## Citations in EuDML Documents

top## NotesEmbed ?

topTo embed these notes on your page include the following JavaScript code on your page where you want the notes to appear.