×

Estimation in connecting measurements with constraints of type II. (English) Zbl 1060.62062

Summary: This paper is a continuation of the author’s paper [ibid. 42, 69–86 (2003; Zbl 1046.62059)]. It dealt with parameter estimation in connecting two-stage measurements with constraints of type I. Unlike that paper, 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 of L. Kubáček and the author, submitted for publication, and its aim is to show the power of \({\mathcal H}^*\)-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.

MSC:

62H12 Estimation in multivariate analysis
62J05 Linear regression; mixed models
65C60 Computational problems in statistics (MSC2010)

Citations:

Zbl 1046.62059
PDFBibTeX XMLCite
Full Text: EuDML

References:

[1] Kubáček L.: Two stage regression models with constraints. Math. Slovaca 43 (1993), 643-658. · Zbl 0793.62036
[2] Kubáček L.: Štatistické modely pripojovacích meraní. In. Celoslovenský seminár “Modernizácia geodetických základov Slovenska”, zborník prednášok (ed. M. Petrovič), VÚGK Bratislava, 1993, 28-40.
[3] Kubáček L., Kubáčková L.: Dvouetapové sítě s podmínkami typu I a II. 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. · Zbl 0875.62016
[5] Kubáček L., Marek J.: Partial optimum estimator in two stage regression model with constraints and a problem of equivalence. Math. Slovaca 54 (2004)) · Zbl 1107.62051
[6] Marek J.: Estimation in connecting measurement. Acta Univ. Palacki. Olomuc., Fac. rer. nat., Math. 43 (2003), 69-86. · Zbl 1046.62059
[7] Marek J.: Statistical view on measurement in Czech and world literature. · Zbl 1245.62001
[8] Kubáček L., Kubáčková L.: Statistics, Metrology (in Czech). Olomouc. : Publishing House of Palacký University. 2000.
This reference list is based on information provided by the publisher or from digital mathematics libraries. Its items are heuristically matched to zbMATH identifiers and may contain data conversion errors. In some cases that data have been complemented/enhanced by data from zbMATH Open. This attempts to reflect the references listed in the original paper as accurately as possible without claiming completeness or a perfect matching.