The weighted two-parameter estimation for linear mixed models with measurement error under stochastic linear mixed restrictions

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.

کلیدواژه ها:

Corrected score function‎ ، ‎Measurement error‎ ، ‎Multicollinearity‎ ، ‎Stochastic linear restrictions‎ ، ‎Weighted mixed two parameter estimation