Estimation in connecting measurements with constraints of type II

Jaroslav Marek

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

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

Abstract

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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 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.

How to cite

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Marek, 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

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

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