Testing for a multiple change point residual variance in regression model

잔차 분산을 이용한 선형회귀모형의 다중전환점 검정

  • Lee, In-Suk (Dept of Statistics, Kyungpook National University) ;
  • Kim, Jong-Tae (Dept of Statistics, Teagu University) ;
  • Lee, Kum-Ja (Dept of Statistics, Kyungpook National University)
  • 이인석 (경북대학교 자연과학대학 통계학과) ;
  • 김종태 (대구대학교 이과대학 통계학과) ;
  • 이금자 (경북대학교 대학원 통계학과)
  • Published : 2001.04.30

Abstract

The purpose of this study is to test a multiple change point in the regression model with the passage of time, using the estimated residual variance figure suggested by Gasser, Sroka and Jennen - Steinmez (GSJS). As a result of the simulation, it is showed that there is a jump change of the estimated residual variance figure at that time of change point. The way to analyse a intuitive multiple change point through graphics is more effective and accurate than any other existing ways.

본 연구는 시간의 변화에 따라 여러 개의 전환점이 발생하여 선형회귀모형들이 여러번 변화할 때의 변환시점을 Gasser, Stroke와 Jennen-Steinmez의 잔차분산 추정량을 이용하여 검정하고 실제의 몇 가지 모형을 제시하여 Graphic을 통하여 조사한 결과 여기서 제시한 방법이 더 효과적으로 자중전환점을 찾을 수 있었다.

Keywords

References

  1. Journal of Royal Statistical Society, B Techniques for testing the constancy of regression relationships over time(with discussion) Brown, R.L.;Durbin, J.;Evans, J.M.
  2. Journal of the American Statistical Association v.92 Testing and locating variance changepoints with application to stock price Chen, J.;Gupta, A.K.
  3. Communications in Statistics Theory and Method v.27 Testing for a change point in linear regression models Chen, J.
  4. Biometrika v.73 Residual variance and residual pattern in nonlinear regression Gasser, T.;Sroka, L.;Jennen-Steinmetz, C.
  5. Biometrika v.77 Asymptotically optimal difference-based estimation of variance in nonparametric regression Hall, P.;Kay, J. W.;Titterington, D. M.
  6. Advanced Applied Probability v.23 On estimation of noise variance in two-dimensional signal processing Hall, P.;Kay, J. W.;Titterington, D. M.
  7. The Korean Communications in Statistics v.5 비모수 회귀모형의 차분에 기저한 분산추정에 대한 고찰 Kim Jong-Tae
  8. Journal of the American Statistical Association v.53 The estimation of the parameters of a linear regression system obeys two separate regimes Quandt, R.E.
  9. Journal of the American Statistical Association v.55 Tests of the hypothesis that a linear regression system obeys two separate regimes Quandt, R.E.
  10. Annals of Statistics v.12 Bandwidth choice for nonparametric kernel regression Rice, J.
  11. Annals of Statistics v.3 On test for detecting change in mean Sen, A.K.;Srivastava, M.S.