全部 标题 作者
关键词 摘要

OALib Journal期刊
ISSN: 2333-9721
费用:99美元

查看量下载量

相关文章

更多...
化工学报  2014 

基于混合Copula模型的铝电解槽多参数相关性分析

, PP. 0-0

Keywords: 相关性分析,Copula,模型,分布,电解

Full-Text   Cite this paper   Add to My Lib

Abstract:

针对铝电解大型预焙槽操作参数较多且彼此耦合性强,难以进行准确的概率分布描述和相关性分析问题,提出一种基于混合Copula模型的铝电解槽多参数相关性分析方法。在铝电解槽参数分布类型未知的情况下,首先利用非参数核密度函数估计建立变量的边缘密度函数;再构建基于混合Copula模型的多变量联合分布函数,并通过权重参数调节不同类型Copula函数的贡献比重;最后利用极大似然法对模型参数进行估计。对取自某厂170KA铝电解槽的1824组真实样本数据进行实验结果得到的三种距离指标分别是0.3169、0.6239和0.9276,均优于其他单一Copula函数,表明本方法是对超低电压下具有非稳态非均一特征的多参数进行相关性分析的一种有效途径。

References

[1]  Li Hesong(李贺松). Research for aluminum reduction cells on unsteady heterogeneous information models and technology of energy saving(铝电解槽非稳态非均一信息模型及节能技术)[M]. Beijin: Metallurgical Industry Press, 2008
[2]  Yin Xueyan(尹雪岩), Liu Fei(刘飞). Dynamic non-Gaussian process monitoring method based on DIFA and its application(基于DIFA的动态非高斯过程监控方法及其应用)[J]. CIESC Journal (China) (化工学报), 2011,62(5):1345-1349
[3]  Tabsh I., Dupuis M. Simulation of the dynamic response of aluminum reduction cells [J]. Light Metals, 1997, 443-447
[4]  Tang H.Q., Urata N., Read C.M., Stejer S.L. Response of hall-heroult cell to step-changes in operating conditions: measurements and dynamic simulations[J]. Light Metals, 1998, 349-357
[5]  Yurkov V., Mann V. A simple dynamic real-time model for aluminum reduction cell control system [J]. Light Metals, 2005,423-428
[6]  Arkhipov G. V, Rozin A.V. The aluminum reduction cell closed system of 3d mathematical models [J]. Light Metals, 2005, 589-592
[7]  Knizhnik A.V, Kuzakov A.A, Zelberg B.I, Veselkov V.V. Application of mathematical methods to optimize aluminum production in pre-baked anode cells [J]. Light Metals, 2008,437-442
[8]  Severo D.S., Gusberti V. A modeling approach to estimate bath and metal heat transfer coefficients[J]. Light Metals, 2009,557-562
[9]  Claudia C., Rainer K., Eike C. B., Aleksey M. A mixed copula model for insurance claims and claim sizes[J]. Scandinavian Actuarial Journal, 2012, 4:1-31
[10]  Tang Xiaosong(唐小松), Li Dianqing(李典庆), Zhou Chuangbing(周创兵), Fang Guoguang(方国光). Probabilistic analysis of load-displacement hyperbolic curves of single pile using Copula [J]. Rock and Soil Mechanics(China)(岩土力学), 2012,33(1):171-178
[11]  Sklar A. Fonctions de repartition an dimensions et leurs marges[J]. Publ. Inst. Statist, Univ. Paris, 1959, 8: 229-231.
[12]  Nelsen R.B. Concordance and copulas: A survey. Distributions with Given Marginals and Statistical Modeling[J]. Kluwer Academic Publishers, Dordrecht, 2002: 169-178.
[13]  Nelsen R.B. An introduction to copulas[M]. Second ed., New York: Springer, 2006.
[14]  Hu Shunbo, Jiang Zhaolin, Zhu Xiangrong. Research on Parzen window based on improved Gaussian matrix in medical image registration[J]. Journal of Computational Information Systems, 2012, 8(12):5103-5110
[15]  Ricci R. G. On differential properties of copulas [J]. Fuzzy Sets and Systems, 2013, 220:78-87
[16]  Qu Leming, Yin Wotao. Copula density estimation by total variation penalized likelihood with linear equality constraints[J]. Computational Statistics and Data Analysis, 2012, 56(2): 384-398
[17]  Berna Y., Senay Y. A comparison of various tests of normality[J]. Journal of Statistical Computation and Simulation, 2007, 77(2): 175-183
[18]  Scaron;lman M. On Kendall's autocorrelations [J]. Communications in Statistics-Theory and Methods, 2012, 41(10): 1733-1738
[19]  Jeff T. T., Chang Chia-Hao, Rhonda C. M. On the use of Spearman's correlation coefficient for testing ordered alternatives[J]. Journal of Statistical Computation and Simulation, 2011, 81(11):1381-1392
[20]  Salim B., Faouzi E., Eddin N., Tarek Z. On the multivariate two-sample problem using strong approximations of empirical copula processes [J]. Communications in Statistics-Theory and Methods, 2011, 40(8): 1490-1509
[21]  Ju Zhaojie, Liu Honghai. Recognizing Hand Grasp and Manipulation Through Empirical Copula [J]. International Journal of Social Robotics, 2010, 2(3):321-328

Full-Text

Contact Us

service@oalib.com

QQ:3279437679

WhatsApp +8615387084133