The Asymptotic  Normality For The Simulation Method In Estimating The  Variance Components  For  Repeated  Measurements Model

Authors

  • Hadeel Ismail Mustafa University of Basrah Author
  • Abdul Hussein Saber AL-Mouel University of Basrah Author

DOI:

https://doi.org/10.69923/IJAS.2024.010105

Keywords:

Asymptotic normality, variance components, estimators

Abstract

The simulation method is important to evaluate the properties of estimators, and through Asymptotic Normality for simulation we can approximate distributions of estimators and thus we can make important statistical inferences in making appropriate statistical decisions. In this research, a modification was made to the mean bias reduction method to estimate the variance components in the repeated measurements model by replacing the bias function in the mean bias reduction method with another that is dependent on a sample of independent observations that simulate the study model with variance components. As a result, we obtained a modified function converging with the mean bias reduction function, and from it, we find new estimators for the variance components of the repeated measurements model. This research aims to study the behavior of the new estimator of the variance components in the repeated measurements model resulting from the modified method on the mean bias reduction method by studying the asymptotic normality of the modified method estimator.

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Author Biography

  • Abdul Hussein Saber AL-Mouel, University of Basrah

    Abdul – Hussein Saber Al- Mouel is Professor at College of Education for Pure Sciences, University of Basrah, Iraq. He received the B. Sc. Degree in Mathematics from College of Education, University of Basrah, Iraq and M.Sc. degree from College of Science, University of Basrah, Iraq. He Holds a Ph.D. degree in Applied Mathematics, Mathematical Statistics from College of Science and Engineering, East China Normal University, China. He has published several scientific papers in national, international conferences and journals. He can be contact at email: abdulhussein.saber@uobasrah.edu.iq.

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Published

06/30/2024

Issue

Vol. 1 No. 1 (2024)

Section

Articles

License

Copyright (c) 2024 Iraqi Journal for Applied Sciences

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References

Marshall,G.C.and H.W.Ohm 1987 .Yield responses of 16 winter wheat cultivars to row spacing and seeding rate .Agronomy Journal .79:1027-1030

How to Cite

[1]
“The Asymptotic  Normality For The Simulation Method In Estimating The  Variance Components  For  Repeated  Measurements Model”, IJApSc, vol. 1, no. 1, pp. 50–56, Jun. 2024, doi: 10.69923/IJAS.2024.010105.

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