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Updated: Sep 8, 2025

Development of an Individual-Tree Basal Area Increment Model using a Linear Mixed-Effects Approach
Published on: July 3, 2020
Estimation in additive models and ANOVA-like applications
Patrícia Antunes1, Sandra S Ferreira1,2, Dário Ferreira1,2
1Center of Mathematics, University of Beira Interior, Covilhã, Portugal.
Abstract:
A well-known property of cumulant generating function is used to estimate the first four order cumulants, using least-squares estimators. In the case of additive models, empirical best linear unbiased predictors are also obtained. Pairs of independent and identically distributed models associated with the treatments of a base design are used to obtain unbiased estimators for the fourth-order cumulants. An application to real data is presented, showing the good behaviour of the least-squares estimators and the great flexibility of our approach.
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