ON CONVERGENCE OF ITERATIVE METHOD FOR DETERMINATION OF WEIBULL PARAMETERS BY MAXIMUM LIKELIHOOD METHOD

被引:0
作者
Khoso, Fida Hussain [1 ]
Alandjan, Gasim [2 ]
Bouk, Altaf Hussain [2 ]
Musavi, Sayed Hyder Abbas [3 ]
机构
[1] Dawood Univ Engn & Technol, Karachi, Pakistan
[2] Yanbu Univ Coll, Yanbu, Saudi Arabia
[3] Indus Univ, Karach, Pakistan
来源
3C TECNOLOGIA | 2019年 / SI期
关键词
Weibull distribution; Weibull parameter; Maximum Likelihood Method; POWER FLUCTUATIONS; WIND ENERGY;
D O I
10.17993/3ctecno.2019.specialissue.04
中图分类号
T [工业技术];
学科分类号
08 ;
摘要
The Weibull distribution is frequently used for the assessment of wind energy potential and modeling of wind speed data. The parameters of Weibull distribution are determined by a number of methods; Maximum Likelihood Methods is one of them. The values of scale and shape parameters of Weibull distribution are found by the help of Maximum Likelihood function. Two different techniques are used to find the parameters. One is known as iterative method, in which a start value of 'k' is set and iterations are terminated when given criterion is reached. The second method is Newton Raphson method of finding roots. We report here a problem of non-convergence of iterative method. We suggest the Newton Raphson method as the best choice for finding the value of 'k' through Maximum Likelihood Method.
引用
收藏
页码:35 / 42
页数:8
相关论文
共 50 条
  • [31] Processing the pairwise comparison matrix by the maximum likelihood method
    Yu. V. Bugaev
    B. E. Nikitin
    S. N. Chernyaeva
    Automation and Remote Control, 2013, 74 : 537 - 542
  • [32] Unbiased estimates of the Weibull parameters by the linear regression method
    Murat Tiryakioğlu
    David Hudak
    Journal of Materials Science, 2008, 43 : 1914 - 1919
  • [33] Improved linear regression method for estimating Weibull parameters
    Saghafi, A.
    Mirhabibi, A. R.
    Yari, G. H.
    THEORETICAL AND APPLIED FRACTURE MECHANICS, 2009, 52 (03) : 180 - 182
  • [34] The Simplest Estimation Method of Weibull Probability Distribution Parameters
    Badawi, Ahmed Samir
    Ouda, Mohamed
    Zyoud, Alhareth
    Yusoff, Siti Hajar
    6TH IEEE INTERNATIONAL CONFERENCE ON RECENT ADVANCES AND INNOVATIONS IN ENGINEERING (ICRAIE), 2021,
  • [35] Processing the pairwise comparison matrix by the maximum likelihood method
    Bugaev, Yu. V.
    Nikitin, B. E.
    Chernyaeva, S. N.
    AUTOMATION AND REMOTE CONTROL, 2013, 74 (03) : 537 - 542
  • [36] Optimum Method for Determining Weibull Distribution Parameters Used in Wind Energy Estimation
    Aras, Nil
    Erisoglu, Ulku
    Yildizay, Hasan D.
    PAKISTAN JOURNAL OF STATISTICS AND OPERATION RESEARCH, 2020, 16 (04) : 635 - 648
  • [37] Outlier-robust tri-percentile and truncated maximum likelihood estimators of parameters of weibull radar clutter
    Zou, Peng-Jia
    Shui, Peng-Lang
    Liang, Xiang
    SIGNAL PROCESSING, 2025, 234
  • [38] Parameter estimation of three-parameter Weibull distribution by hybrid gray genetic algorithm with modified maximum likelihood method with small samples
    Gu, Jianyi
    Kong, Xiangwei
    Guo, Jin
    Qi, Haochen
    Wang, Zinan
    JOURNAL OF MECHANICAL SCIENCE AND TECHNOLOGY, 2024, : 5363 - 5379
  • [39] A maximum likelihood method for estimates of the statistics of the crack growth behavior
    Xing, J
    Hong, YJ
    INTERNATIONAL JOURNAL OF PRESSURE VESSELS AND PIPING, 1999, 76 (09) : 641 - 646
  • [40] Efficacy of Maximum Likelihood Method and longer Sequences in Phylogenetic Analysis
    Asheesh, Shanker
    Vinay, Sharma
    RESEARCH JOURNAL OF BIOTECHNOLOGY, 2012, 7 (04): : 114 - 118