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

Document Type : Original Scientific Paper

Authors

1 Department of Mathematics‎, ‎Dezful Branch‎, ‎Islamic Azad University‎, ‎Dezful‎, ‎Iran

2 Department of Mathematics and Statistics‎, ‎Shoushtar Branch‎, ‎Islamic Azad University‎, ‎Shoushtar‎, ‎Iran

Abstract

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.

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Journal of Statistical Modelling: Theory and Applications
Volume 5, Issue 2
July 2024
Pages 137-152

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History

  • Receive Date: 15 December 2024
  • Revise Date: 13 April 2025
  • Accept Date: 01 May 2025

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