Comparison of the estimators of Weibull distribution parameters for fuzzy Liver Cirrhosis data using the Maximum likelihood and Bayesian methods

Authors

DOI:

https://doi.org/10.31272/jae.i150.1463

Keywords:

Bayesian Methods, Fuzzy Liver Cirrhosis D, Maximum Likelihood, Weibull Distribution Parameters

Abstract

This study investigates and compares the estimators of the Weibull distribution parameters for fuzzy data derived from the survival time of liver cirrhosis patients using the Maximum likelihood and Bayesian methods. The fuzzy data were transformed into conventional data using the trigonometric function. The results demonstrated that the Bayesian method outperformed the Likelihood method in achieving accurate and stable estimates compared to the probability method. The results showed that the Bayesian method outperformed the probability method with increasing cutoff level, while the performance of the maximum likelihood method fluctuated, achieving its best results at a cutoff level of 0.3.

Downloads

Download data is not yet available.

References

[1] Al-Majidi, A. J. S., El-Mongi, H. M. R., & Abdel-Atti, F. A. M. (2023). Estimation of the fuzzy reliability of a mixed distribution (Weibull–Rayleigh). International Journal of Intelligent Systems and Applications in Engineering, 11(3), 209-216. https://doi.org/10.46300/91011.2023.17.29

[2] Al-Naqash, A., A., Abdulsahib, S. J. (2019). A Bayes estimator for the Weibull survival function for fuzzy survival time data of kidney failure patients. Journal of Management and Economics - Mustansiriyah University, 1(121), 295–306.

[3] Pak, A., Zolfaghari, S., & Pecht, M. (2013). Parameter estimation for Weibull distribution with fuzzy data using EM algorithm. Reliability Engineering & System Safety, 112, 84–90. https://doi.org/10.1016/j.ress.2012.10.010 DOI: https://doi.org/10.1016/j.ress.2012.10.010

[4] Cox, D. R., & Oakes, D. (1984). Analysis of survival data. CRC Press.

[5] Ross, T. J. (2010). Fuzzy logic with engineering applications (3rd ed.). John Wiley & Sons. DOI: https://doi.org/10.1002/9781119994374

[6] Aje, Z. Y. A. Q. (2015). Estimating the reliability of fuzzy failure times with free distribution and its use in estimating the fuzzy reliability of the Mosul Dam. Journal of Economic and Administrative Sciences, 21(81), 348–362.

[7] Al-Badran, F. M. (2019). Bayes estimation under balanced loss functions. Journal of Administrative and Economic Sciences, 44(119), 108–120. https://doi.org/10.33924/jae.v44i119.539 DOI: https://doi.org/10.31272/JAE.42.2019.119.8

[8] Vishwakarma, G. K., Paul, C., & Singh, N. (2018). Parameters estimation of Weibull distribution based on fuzzy data using neural network. Biostatistics and Biometrics Open Access Journal, 6(5), 1-7. https://doi.org/10.15406/bboaj.2018.06.00223 DOI: https://doi.org/10.19080/BBOAJ.2018.06.555696

[9] Ali, B. K., & Abdullah, A. Y. (2018). A Bayesian approach for estimating the fuzzy reliability of the Fréchet distribution. Karbala University Journal for Administrative and Economic Sciences, 6(26), 55–68.

[10] Gelman, A., Carlin, J. B., Stern, H. S., Dunson, D. B., Vehtari, A., & Rubin, D. B. (2013). Bayesian data analysis (3rd ed.). Chapman and Hall/CRC. DOI: https://doi.org/10.1201/b16018

[11] Jaber, A. K. A., & Ibrahim, W. S. (2021). A study on bladder cancer patients using the survival function for the new extended transformed Weibull distribution. The Iraqi Journal of Administrative Sciences, 139. https://doi.org/10.31272/jae.i139.1090 DOI: https://doi.org/10.31272/jae.i139.1090

[12] Hamza, Z. F., Fadhil, L., & Jassim, F. M. (2023). An extended study to determine the best loss functions for estimating the exponential distribution parameter under Jeffery and Gamma priors. Journal of Mechanics of Continua and Mathematical Sciences, 18(3), 1-13. https://doi.org/10.26782/jmcms.2023.03.00004 DOI: https://doi.org/10.26782/jmcms.2023.03.00001

Downloads

Published

2025-12-01

How to Cite

Comparison of the estimators of Weibull distribution parameters for fuzzy Liver Cirrhosis data using the Maximum likelihood and Bayesian methods. (2025). Journal of Administration and Economics, 50(150), 165-175. https://doi.org/10.31272/jae.i150.1463

Similar Articles

1-10 of 116

You may also start an advanced similarity search for this article.