Estimation of the first order parameters in the twoepoch linear model

Karel Hron

Acta Universitatis Palackianae Olomucensis. Facultas Rerum Naturalium. Mathematica (2007)

  • Volume: 46, Issue: 1, page 43-50
  • ISSN: 0231-9721

Abstract

top
The linear regression model, where the mean value parameters are divided into stable and nonstable part in each of both epochs of measurement, is considered in this paper. Then, equivalent formulas of the best linear unbiased estimators of this parameters in both epochs using partitioned matrix inverse are derived.

How to cite

top

Hron, Karel. "Estimation of the first order parameters in the twoepoch linear model." Acta Universitatis Palackianae Olomucensis. Facultas Rerum Naturalium. Mathematica 46.1 (2007): 43-50. <http://eudml.org/doc/32462>.

@article{Hron2007,
abstract = {The linear regression model, where the mean value parameters are divided into stable and nonstable part in each of both epochs of measurement, is considered in this paper. Then, equivalent formulas of the best linear unbiased estimators of this parameters in both epochs using partitioned matrix inverse are derived.},
author = {Hron, Karel},
journal = {Acta Universitatis Palackianae Olomucensis. Facultas Rerum Naturalium. Mathematica},
keywords = {twoepoch regression model; best linear unbiased estimators of the first order parameters; two-epoch regression model; best linear unbiased estimators of order parameters},
language = {eng},
number = {1},
pages = {43-50},
publisher = {Palacký University Olomouc},
title = {Estimation of the first order parameters in the twoepoch linear model},
url = {http://eudml.org/doc/32462},
volume = {46},
year = {2007},
}

TY - JOUR
AU - Hron, Karel
TI - Estimation of the first order parameters in the twoepoch linear model
JO - Acta Universitatis Palackianae Olomucensis. Facultas Rerum Naturalium. Mathematica
PY - 2007
PB - Palacký University Olomouc
VL - 46
IS - 1
SP - 43
EP - 50
AB - The linear regression model, where the mean value parameters are divided into stable and nonstable part in each of both epochs of measurement, is considered in this paper. Then, equivalent formulas of the best linear unbiased estimators of this parameters in both epochs using partitioned matrix inverse are derived.
LA - eng
KW - twoepoch regression model; best linear unbiased estimators of the first order parameters; two-epoch regression model; best linear unbiased estimators of order parameters
UR - http://eudml.org/doc/32462
ER -

References

top
  1. Anděl J., Základy matematické statistiky, . MATFYZPRESS, Praha, 2005 (in Czech). 
  2. Harville D. A., Matrix Algebra From a Statistican’s Perspective, . Springer-Verlag, New York, 1999. (1999) MR1467237
  3. Hron K., Inversion of 3 × 3 Partitioned Matrices in Investigation of the Twoepoch Linear Model with the Nuisance Parameters, . Acta Univ. Palacki. Olomuc. Fac. rer. nat. Math., 45 (2006), 67–80. MR2321299
  4. Hron K., On One Twoepoch Linear Model with the Nuisance Parameters, . Mathematica Slovaca, to appear. MR2372830
  5. Kubáček L., Kubáčková L., Volaufová J., Statistical Models with Linear Structures, . Veda, Publishing House of the Slovak Academy of Sciences, Bratislava, 1995. (1995) 
  6. Kubáček L., Kubáčková L., A Multiepoch Regression Model used in Geodesy, . Austrian Journal of Statistics 28 (1999), Nr. 4, 203–214. (1999) 
  7. Kubáčková L., Kubáček L., Estimation in Multiepoch Regression Models with Different Structures for Studying Recent Crustal Movements, . Acta Univ. Palacki. Olomuc. Fac. rer. nat. Math. 35 (1996), 83–102. (1996) Zbl1080.62521MR1485047

NotesEmbed ?

top

You must be logged in to post comments.