Change-point Estimators Using Rank Average in Location Change Model

  • Kim, Jeahee (Assistant Professor, Department of Statistics, Duksung Women's University) ;
  • Jang, Heeyoon (Master in Statistics, Department of Statistics, Duksung Women's University)
  • 발행 : 1999.08.01

초록

This paper deals with the problem of change-point estimation where there is one level change in location with iid errors. A change-point estimator using rank average is proposed with the proof of its consistency. A comparison study of various change-point estimators is done by simulation on the mean the proportion and the variance when the errors are from the normal and the double exponential distributions.

키워드

참고문헌

  1. 비모수통계학개론 송문섭;박창순
  2. IMS lecture notes Some aspects of change-point analysis Bhattacharya, P.K.
  3. Annals of Statistics v.16 Nonparametric change-point estimation Carlstein, E.
  4. Biometrika v.65 The problem of the Nile : Conditional solution to a change-point problem Cobb, G.W.
  5. Communications in statistics v.15 no.3 A simple least squares method for estimating a change in mean Hawkins, D.L.
  6. Biometrika v.57 Inference about the change-point in a sequence of random-variables Hinkley, D.V.
  7. IMS Lecture Notes-Monograph Series v.23 The analysis of change-point data with dependent errors Lombard, F.;Hart, J.D.
  8. Communications in Statistics v.19 no.2 Comparisons of change-point estimators Scariano, S.M.;Watkins, T.A.
  9. Communications in statistics-Theory and Methods v.11 no.13 A nonparametric test for detecting changes in location Schechtman, E.
  10. Biometrika v.62 A Bayesian approach to inference about a change point in a sequence of random variables Smith, A.F.M.
  11. Biometrika v.42 A test for a change in a parameter occurring at an unknown point Page, E.S.
  12. Applied Statistics v.28 A Nonparametric approach to the change-point problem Pettit, A.N.