- Tytuł:
- Optimum chemical balance weighing designs with diagonal variance-covariance matrix of errors
- Autorzy:
-
Ceranka, Bronisław
Graczyk, Małgorzata - Powiązania:
- https://bibliotekanauki.pl/articles/729748.pdf
- Data publikacji:
- 2004
- Wydawca:
- Uniwersytet Zielonogórski. Wydział Matematyki, Informatyki i Ekonometrii
- Tematy:
-
balanced bipartite weighing design
chemical balanceweighing design - Opis:
- In this paper we study the estimation problem of individual measurements (weights) of objects in a model of chemical balance weighing design with diagonal variance - covariance matrix of errors under the restriction k₁ + k₂ < p, where k₁ and k₂ represent the number of objects placed on the right and left pans, respectively. We want all variances of estimated measurments to be equal and attaining their lower bound. We give a necessary and sufficient condition under which this lower bound is attained by the variance of each of the estimated measurements. To construct the design matrix X of the considered optimum chemical balance weighing design we use the incidence matrices of balanced bipartite weighing designs.
- Źródło:
-
Discussiones Mathematicae Probability and Statistics; 2004, 24, 2; 215-232
1509-9423 - Pojawia się w:
- Discussiones Mathematicae Probability and Statistics
- Dostawca treści:
- Biblioteka Nauki
Artykuł