The weighted two-parameter estimation for linear mixed models with measurement error under stochastic linear mixed restrictions
نویسندگان
1 Department of Mathematics, Dezful Branch, Islamic Azad University, Dezful, Iran
2 Department of Mathematics and Statistics, Shoushtar Branch, Islamic Azad University, Shoushtar, Iran
doi
10.22034/jsmta.2025.22528.1169چکیده
In this paper, the weighted mixed stochastic restricted two-parameter estimator/predictor of fixed/random effects is introduced in linear mixed measurement error models, where additional stochastic linear restrictions are assumed to apply to fixed and random effects. The asymptotic properties of the proposed estimator are derived. Some comparisons are made with other estimators under the criterion of mean squared error matrix. Furthermore, the proposed methods are used to estimate the biasing parameters. Finally, a real data analysis and a simulation study are provided to evaluate the theoretical findings of the proposed estimator.
