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Maximum Likelihood Estimation for Three-Parameter Weibull Distribution Using Evolutionary Strategy
Joint Authors
Source
Mathematical Problems in Engineering
Issue
Vol. 2019, Issue 2019 (31 Dec. 2019), pp.1-8, 8 p.
Publisher
Hindawi Publishing Corporation
Publication Date
2019-05-23
Country of Publication
Egypt
No. of Pages
8
Main Subjects
Abstract EN
The maximum likelihood estimation is a widely used approach to the parameter estimation.
However, the conventional algorithm makes the estimation procedure of three-parameter Weibull distribution difficult.
Therefore, this paper proposes an evolutionary strategy to explore the good solutions based on the maximum likelihood method.
The maximizing process of likelihood function is converted to an optimization problem.
The evolutionary algorithm is employed to obtain the optimal parameters for the likelihood function.
Examples are presented to demonstrate the proposed method.
The results show that the proposed method is suitable for the parameter estimation of the three-parameter Weibull distribution.
American Psychological Association (APA)
Yang, Fan& Ren, Hu& Hu, Zhili. 2019. Maximum Likelihood Estimation for Three-Parameter Weibull Distribution Using Evolutionary Strategy. Mathematical Problems in Engineering،Vol. 2019, no. 2019, pp.1-8.
https://search.emarefa.net/detail/BIM-1196455
Modern Language Association (MLA)
Yang, Fan…[et al.]. Maximum Likelihood Estimation for Three-Parameter Weibull Distribution Using Evolutionary Strategy. Mathematical Problems in Engineering No. 2019 (2019), pp.1-8.
https://search.emarefa.net/detail/BIM-1196455
American Medical Association (AMA)
Yang, Fan& Ren, Hu& Hu, Zhili. Maximum Likelihood Estimation for Three-Parameter Weibull Distribution Using Evolutionary Strategy. Mathematical Problems in Engineering. 2019. Vol. 2019, no. 2019, pp.1-8.
https://search.emarefa.net/detail/BIM-1196455
Data Type
Journal Articles
Language
English
Notes
Includes bibliographical references
Record ID
BIM-1196455