Comparison  Of  Some Estimation Methods For The Estimators Of  Marshall Olkin Distribution With Simulation

Najlaa Ali Dhumad; Abbas Lafta Kneehr

doi:10.62383/bilangan.v2i4.204

Authors

Najlaa Ali Dhumad Universitas Wasit
Abbas Lafta Kneehr Universitas Wasit

DOI:

https://doi.org/10.62383/bilangan.v2i4.204

Keywords:

Marshall Olkin distributions, Probability density function, Cumulative density function, Maximum likelihood estimation method, Robust estimation method, Mean square error

Abstract

The research comprised multiple simulated tests to determine the relationship between (sample size, distribution parameter value, estimation method, and pollution indivuduales). The experimental findings indicate that the estimator is influenced by sample size, the value of distribution parameter, estimation method, and pollution indivuduales. The results of the mean square error analysis indicate that (robust estimation method) produces the best results with the lowest mean square error, and the best estimation method was (191) of (243) simulation experiments. Additional statistical distributions with additional factors can be performed to demonstrate additional results.

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References

Gillariose, J., Tomy, L., Chesneau, C., & Jose, M. (2021). Recent developments in Marshall-Olkin distributions. Contributions to Mathematics, 2, 71–75.

Handique, L., & Chakraborty, S. (2015). The Marshall-Olkin-Kumarswamy-G family of distributions. arXiv preprint. https://arxiv.org/abs/1509.08108

Jamalizadeh, A., & Kundu, D. (2013). Weighted Marshall–Olkin bivariate exponential distribution. Statistics, 47(5), 917–928.

Jayakumar, K., & Sankaran, K. (2017). Generalized exponential truncated negative binomial distribution. American Journal of Mathematical and Management Sciences, 36(2), 98–111.

Muhammad, M., & Liu, L. (2019). Characterization of Marshall-Olkin-G family of distributions by truncated moments. Journal of Mathematics and Computational Science, 19(3), 192–202.

Orabi, A., & Ziedan, D. (2021). Robust estimators for Marshall-Olkin extended linear exponential distribution. International Journal of Statistics and Applications. https://doi.org/10.5923/j.statistics.20211101.03

Williams, M. S., Ebel, E. D., & Cao, Y. (2013). Fitting distributions to microbial contamination data collected with an unequal probability sampling design. Journal of Applied Microbiology, 114(1), 152–160.