Notes on parametric functions in the linear model-Reference-Cited by-同舟云学术

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Notes on parametric functions in the linear model

Published:2023-12-01 Issue:2 Volume:60 Page:211-215
ISSN:2199-577X
Container-title:Biometrical Letters
language:en
Short-container-title:

Author:

Szczepańska-Álvarez Anna¹

Affiliation:

1. Department of Mathematical and Statistical Methods , Poznań University of Life Sciences , Wojska Polskiego 28, PL-60-637 Poznań , Poland

Abstract

Summary Starting from a simple Gauss–Markov model, this paper presents notes about criteria for the estimability of parametric functions of the vector of interest in linear models. The results obtained for the transformed models are compared with known results from the literature.

Publisher

Walter de Gruyter GmbH

Link

https://www.sciendo.com/pdf/10.2478/bile-2023-0015

Reference14 articles.

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

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

3. 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.

4. 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.

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

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