A Genetic Algorithm-Based Quasi-Linear Regression Method and Application

Article Preview

Abstract:

Regression analysis, as an important branch of statistics, is an effective tool for scientific prediction. Genetic algorithm is an optimization search algorithm in computational mathematics. In this paper, a new regression model named quasi-linear regression model is established. Further, its implementation method is introduced in detail. Then by taking the population development of Hebei province as an example, we conduct the fitting problem and short-term prediction. Moreover, we compare the fitting effect and the prediction results of two models.

You might also be interested in these eBooks

Info:

Periodical:

Pages:

2700-2705

Citation:

Online since:

August 2013

Export:

Price:

Permissions CCC:

Permissions PLS:

Сopyright:

© 2013 Trans Tech Publications Ltd. All Rights Reserved

Share:

Citation:

[1] Ceyhun Elgin and Semih Tumen, Can sustained economic growth and declining population coexist?, Economic Modelling, vol. 29, 2012, pp: 1899-(1908).

DOI: 10.1016/j.econmod.2012.06.004

Google Scholar

[2] Marcos Chamon and Michael Kremer, Economic transformation, population growth and the long-run world income distribution, Journal of International Economics, vol. 79, 2009, pp: 20-30.

DOI: 10.1016/j.jinteco.2009.04.008

Google Scholar

[3] D. Gale Johnson and Ph. D, Population and economic development, China Economic Review, vol. 10, 1999, pp: 1-16.

Google Scholar

[4] Bo Li, Shuai Wang and Shuang Zhang, The time series analysis of population growth rate, Science and Technology Review, 2010, pp: 244.

Google Scholar

[5] Xuejin Zuo, The affect population growth on economic growth, International Economic Review. Vol. 6, 2010, pp: 127-135.

Google Scholar

[6] Juhuang He, Influence of Population Change on Economy, Quantitative and technology economics, vol. 12, July 2003, pp: 41-46.

Google Scholar

[7] B. Parthasarathy, A. A. Munot and D. R. Kothawale, Regression model for estimation of indian foodgrain production from summer monsoon rainfall, Agricultural and Forest Meteorology, vol. 42, March 1988, pp.167-182.

DOI: 10.1016/0168-1923(88)90075-5

Google Scholar

[8] Lin Yang and Zhongbo Liu, Application of linear regression model in predicting the demand in logistics, Culture of Business, vol. 10, Oct. 2007, pp.173-175.

Google Scholar

[9] L. R. Schaeffer, Applilcation of random regression models in animal breeding, Livestock Production Science, vol. 86, March 2004, pp: 35-45.

DOI: 10.1016/s0301-6226(03)00151-9

Google Scholar

[10] Yuhong Liu, Yanjun Shou, Jingfeng Xu and Mei Zhang, Estimation for drug penetration parameters using a nonlinear regression model, Journal of Biomedical Engineering of China, vol. 22, 2003, pp: 37-42.

Google Scholar

[11] Walter Bich, Giancarlo and D Agostino, Pennecchi Uncertainty Propagation in A Non-linear Regression Analysis: Application to Ballistic Absolute Gravimenter (IMGC-02), International Workshop on Advanced Methods for Uncertainty Estimation in Measurement, 2007, pp: 16-18.

DOI: 10.1109/amuem.2007.4362566

Google Scholar

[12] K. Vasanth Kumar, K. Porkodi and F. Rocha, Isotherms and Thermo Dynamics by Linear and Non-linear Regression Analysis for the Sorption of Methylene Blue onto Activated Carbon: Comparison of Various Error Functions, Journal of Hazardous Materials, 2008, pp: 794–804.

DOI: 10.1016/j.jhazmat.2007.06.056

Google Scholar

[13] B. Siva Soumya, M. Sekhar, J. Riotte and JJ Braun, Non-linear Regression Model for Spatial Variation in Precipitation Chemistry for South India, Atmosheric Environment, vol. 43, 2009, pp: 1147-1152.

DOI: 10.1016/j.atmosenv.2008.09.021

Google Scholar

[14] K. Vasanth Kumer and S. Sivanesan, Pseudo second order kinetic models for safranin onto rice husk: Comparison of linear and non-linear regression analysis, Process Biochemistry, vol. 41, 2006, pp: 1198–1202A.

DOI: 10.1016/j.procbio.2005.11.014

Google Scholar

[15] Fachao Li, Chenxia Jin, Yan Shi and Kuo Yang, Study on Quasi-linear Regression Methods, ICIC International, 2012 ISSN 1349-4198, pp: 6259-6270.

Google Scholar