Geodesic
Estimation of the first order parameters in the twoepoch linear model
Acta Universitatis Palackianae Olomucensis. Facultas Rerum Naturalium. Mathematica, Tome 46 (2007) no. 1, pp. 43-50 Cet article a éte moissonné depuis la source Czech Digital Mathematics Library

Voir la notice de l'article

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.
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.
Classification : 62F10, 62H12, 62J05
Keywords: twoepoch regression model; best linear unbiased estimators of the first order parameters 
@article{AUPO_2007_46_1_a4,
     author = {Hron, Karel},
     title = {Estimation of the first order parameters in the twoepoch linear model},
     journal = {Acta Universitatis Palackianae Olomucensis. Facultas Rerum Naturalium. Mathematica},
     pages = {43--50},
     year = {2007},
     volume = {46},
     number = {1},
     mrnumber = {2387492},
     zbl = {1139.62034},
     language = {en},
     url = {http://geodesic.mathdoc.fr/item/AUPO_2007_46_1_a4/}
}
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
SP  - 43
EP  - 50
VL  - 46
IS  - 1
UR  - http://geodesic.mathdoc.fr/item/AUPO_2007_46_1_a4/
LA  - en
ID  - AUPO_2007_46_1_a4
ER  - 
%0 Journal Article
%A Hron, Karel
%T Estimation of the first order parameters in the twoepoch linear model
%J Acta Universitatis Palackianae Olomucensis. Facultas Rerum Naturalium. Mathematica
%D 2007
%P 43-50
%V 46
%N 1
%U http://geodesic.mathdoc.fr/item/AUPO_2007_46_1_a4/
%G en
%F AUPO_2007_46_1_a4
Hron, Karel. Estimation of the first order parameters in the twoepoch linear model. Acta Universitatis Palackianae Olomucensis. Facultas Rerum Naturalium. Mathematica, Tome 46 (2007) no. 1, pp. 43-50. http://geodesic.mathdoc.fr/item/AUPO_2007_46_1_a4/

[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. | MR

[3] Hron K.: Inversion of $3\times 3$ 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. | MR

[4] Hron K.: On One Twoepoch Linear Model with the Nuisance Parameters. Mathematica Slovaca, to appear. | MR

[5] Kubáček L., Kubáčková L., Volaufová J.: Statistical Models with Linear Structures. Veda, Publishing House of the Slovak Academy of Sciences, Bratislava, 1995.

[6] Kubáček L., Kubáčková L.: A Multiepoch Regression Model used in Geodesy. Austrian Journal of Statistics 28 (1999), Nr. 4, 203–214.

[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. | MR | Zbl