期刊文献+

Detecting Change Points in Polynomial Regression Models with an Application to Cable Data Sets 被引量:2

Detecting Change Points in Polynomial Regression Models with an Application to Cable Data Sets
原文传递
导出
摘要 In this paper, the Schwarz Information Criterion (SIC) is used to detect the change points in polynomial regression models. Switching quadratic regression models with same amount of model deviation and switching polynomial regression models with different amount of model deviation for different segments of regression are considered. The number of separate regimes and their corresponding regression orders are assume to be known. The method is then applied to cable data sets and the change points are successfully detected. In this paper, the Schwarz Information Criterion (SIC) is used to detect the change points in polynomial regression models. Switching quadratic regression models with same amount of model deviation and switching polynomial regression models with different amount of model deviation for different segments of regression are considered. The number of separate regimes and their corresponding regression orders are assume to be known. The method is then applied to cable data sets and the change points are successfully detected.
出处 《Acta Mathematicae Applicatae Sinica》 SCIE CSCD 2004年第4期541-546,共6页 应用数学学报(英文版)
关键词 多项式递减模型 信息规范 数理统计 可变点 Information criterion change points polynomial regression models
  • 相关文献

参考文献10

  • 1Chen, J. Testing for a change point in linear regression models. Communications in Statistics: Theory and Method, 27:2481-2493 (1998)
  • 2Chin Choy, J.H., Broemeling, L.D. Some Bayesian inferences for a changing linear model. Technometrics,22:71 78 (1980)
  • 3Ferreira, P.'E. A" Bayesian analysis of a switching regression model: Known number of regimes, d. American statistical Association, 70:370-374 (1975)
  • 4Hobert, D. A Bayesian analysis of a switching linear model. J. of Econometrics. 19:77-87 (1982)
  • 5Kim, D. Tests for a change-point in linear regression. IMS Lecture Notes-Monograph Series, 23:"170-176(1994)
  • 6Quandt, R.E. The estimation of the parameters of a linear regression system obeys two separate regimes.J. American statistical Association, 53:873-880 (1958)
  • 7Quandt, R.E. Tests of the hypothesis that a linear regression system obeys two separate regimes. J.American statistical Association, 55:324-330 (1960)
  • 8Schwarz, G. Estimating the dimension of a model. Ann. Statist., 6:461-464 (1978)
  • 9Srivastava, M.S., Worsley, K.J. Likelihood ratio tests for a change in the multivariate normal mean. J.American statistical Association, 81:199-204 (1986)
  • 10Vostrikova, L.Ju. Detecting "disorder" in multidimensional random processes. Soviet Math Dokl., 24:55-59 (1981)

同被引文献2

引证文献2

相关作者

内容加载中请稍等...

相关机构

内容加载中请稍等...

相关主题

内容加载中请稍等...

浏览历史

内容加载中请稍等...
;
使用帮助 返回顶部