AccScience Publishing / AJWEP / Volume 19 / Issue 2 / DOI: 10.3233/AJW220030
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RESEARCH ARTICLE

Estimation of Hazard Rate Function for Building Second Order Mixed Model Using Fuzzy Techniques

Dhwyia Salman Hassan1 ,  Azzah Hazem Zaki2* ,  Mohammed Kadim Hawash3
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1 Business Information Technology Department, Business Information College, University of Information Technology and Communications, Baghdad, Iraq
2 Media Technology Engineering Department, Engineering College, University of Information Technology and Communications, Baghdad, Iraq
3 College of Administration and Economics, Al Farahidi University Iraq, Baghdad
AJWEP 2022, 19(2), 109–116; https://doi.org/10.3233/AJW220030
Received: 26 June 2021 | Revised: 19 July 2021 | Accepted: 19 July 2021 | Published online: 19 July 2021
© 2021 by the Author(s). This article is an open access article distributed under the terms and conditions of the Creative Commons Attribution 4.0 International License ( https://creativecommons.org/licenses/by/4.0/ )
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Abstract
This research deals with constructing second order mixed model, from Exponential (θ), and Gamma (3,θ), where the mixing proportions are .
The p.d.f. is derived, and also CDF and reliability function. Then the parameters are estimated by method of moments and maximum likelihood as well as some proposed method. Where from Table 1 we find the first best fuzzy hazard rate is moment estimator with percentage and the second one proposed while the third best one is maximum likelihood estimation. We observe that the first best fuzzy hazard rate estimator is proposed one, and the second best one is maximum likelihood estimation and finally the moment estimator is best, according to the results of fuzzy hazard rate function, we find that the first best is the proposed one, while the second best one is moments estimator, and finally the third one is maximum likelihood estimation. All the derivation required are explained, and results of comparison are explained in tables.
Keywords
Maximum likelihood estimation
moment estimation
proposed method estimation
second order mixed model.
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