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change-point estimator; nonlinear regression; limit distribution
The paper deals with the asymptotic distribution of the least squares estimator of a change point in a regression model where the regression function has two phases --- the first linear and the second quadratic. In the case when the linear coefficient after change is non-zero the limit distribution of the change point estimator is normal whereas it is non-normal if the linear coefficient is zero.
[1] Bhattacharya P.K.: Weak convergence of the log-likelihood process in two-phase linear regression problem. Proceedings of the R.C. Bose Symposium on Probability, Statistics and Design of Experiments 145-156 (1990).
[2] Feder P.I.: On asymptotic distribution theory in segmented regression problems - identified case. The Annals of Statistics 3 49-83 (1975). MR 0378267 | Zbl 0324.62014
[3] Hinkley D.: Inference about the intersection in two-phase regression. Biometrika 56 495-504 (1969). Zbl 0183.48505
[4] Hušková M.: Estimation in location model with gradual changes. Comment. Math. Univ. Carolinae 39 147-157 (1998). MR 1623002
[5] Hušková M.: Gradual changes versus abrupt changes. Journal of Statistical Planning and Inference 76 109-125 (1999). MR 1673343
[6] Jarušková D.: Change-point estimator in gradually changing sequences. Comment. Math. Univ. Carolinae 39 551-561 (1998). MR 1666790
[7] Seber G.A.F., Wild C.J.: Nonlinear Regression. John Wiley New York (1989). MR 0986070 | Zbl 0721.62062
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