Open Access

Notes on parametric functions in the linear model


Cite

Alalouf I.S., Styan G.P.H. (1979): Characterizations of Estimability in the General Linear Model. The Annals of Statistics 7(1): 194–200. Search in Google Scholar

Baksalary J.K., Kala R. (1978): Estimability of linear parametric functions in a one-dimensional linear model. Mathematica Applicanda 6(12):133-144. Search in Google Scholar

Baksalary J.K. (1984): A study of the equivalence between a Gauss-Markoff model and its augmentation by nuisance parameters. Math. Operationsforsch. Statist. Ser. Statist.15: 3–35. Search in Google Scholar

Baksalary J.K., Markiewicz A. (1990): Admissible linear estimators of an arbitrary vector of parametric functions in the general Gauss-Markov model. Journal of Statistical Planning and Inference 26: 161–171. Search in Google Scholar

Graczyk M., Ceranka B. (2023): D-optimal chemical balance weighing designs with positively correlated errors: part I. Biometrical Letters 60: 53–63. Search in Google Scholar

Hu J., Shi S. (2008): On the Expressions of Estimability in Testing General Linear Hypotheses. Communications in Statistics – Theory and Methods 37(5): 782–790. Search in Google Scholar

Iriarte X., Aginaga F.J., Lerga G., Gainza J., Ros J., Bacaicoa (2020): Optimal strain gauge configurations for the estimation of mechanical loads in the main shaft of HAWT. J. Phys.: Conf. Ser.1618 (022034): 1–11. Search in Google Scholar

Markiewicz A. (2001): On dependence structures preserving optimality. Statistics & Probability Letters 53: 415—419. Search in Google Scholar

Markiewicz A., Szczepańska A. (2007): Optimal designs in multivariate linear models. Statistics & Probability Letters 77: 426—430. Search in Google Scholar

Majumdar D., Mitra S.K. (1980): Statistical analysis of nonestimable functionals. Part 1: Estimation. In: W. Klonecki, A. Kozek and J. Rosiński, eds,. Mathematical Statistics & Probability Theory Springer, New York, 288-317. Search in Google Scholar

Puntanen S., Styan G.P.H., Isotalo J. (2011): Matrix Tricks for Linear Statistical Models: Our Personal Top Twenty. Springer. Search in Google Scholar

Seely J., Birkes D. (1980): Estimability in partitioned linear models. The Annals of Statistics 8(2), 399-406. Search in Google Scholar

Walkowiak R. (1987): Estymacja liniowych funkcji parametrycznych w modelach wieloreakcjowych. Roczniki Polskiego Towarzystwa Matematycznego Seria III: Matematyka Stosowana XXIX: 73–91. Search in Google Scholar

Wawrzosek J., Wesołowska-Janczarek M. (2009): Testability and Estimability in Multivariate Linear Normal Model with Various Restrictions. Communications in Statistics – Theory and Methods 38(6): 828-841. Search in Google Scholar

eISSN:
2199-577X
Language:
English
Publication timeframe:
2 times per year
Journal Subjects:
Life Sciences, Bioinformatics, other, Mathematics, Probability and Statistics, Applied Mathematics