Work

Improved mixed-effects ridge estimation and prediction using a modified stochastic constraint

Year: 2026

Type: article

Abstract: Biased ridge regression estimation has recently been extended to linear mixed models, enabling more efficient estimation of the fixed effects. Empirical studies on penalizing the systematic component have suggested corresponding improvements in the efficiency of the predicted random effects as well. In this article, we demonstrate that further improvement is possible. We adopt a previously proposed modified stochastic constraint to formulate an augmented linear mixed model. Analytical derivations based on mean squared error comparisons demonstrate the superiority of our approach when evaluating total estimation and prediction efficiency. Simulation studies confirm the improved performance of our method compared to competing approaches, and a real dataset is analyzed to illustrate its practical application.

Source: Quality & Quantity

DOI: 10.1007/s11135-026-02609-0

Authors: Mostafa Kamal, Yahia S. El-Horbaty

Institutions: University of Sadat City, United Arab Emirates University, Helwan University

Language: English

Topic: Advanced Statistical Methods and Models

Subfield: Statistics and Probability

Field: Mathematics

Domain: Physical Sciences

Open Access status: hybrid

Estimated APC paid: $3,090

OpenAlex ID: W7130817626