ON ESTIMATING THRESHOLDS IN AUTOREGRESSIVE MODELS

Journal of Time Series Analysis - Tập 7 Số 3 - Trang 179-190 - 1986
Kung‐Sik Chan1,2, Howell Tong1,3
1Chinese University of Hong Kong
2City Polytechnic of Hong Kong,
3University of Kent, U.K.

Tóm tắt

Abstract. The problem of estimating the threshold parameter, i.e., the change point, of a threshold autoregressive model is studied. By introducing smoothness into the model, sampling properties of the conditional least‐squares estimate may be obtained. Artificial and real data are used for illustrations.

Từ khóa


Tài liệu tham khảo

10.1093/biomet/58.3.525

Brillinger D. R., 1980, Empirical modelling of population Time Series Data: The Case of Age and Density Dependent Vital Rates, Lectures on Mathematics in the Life Sciences (Amer. Math. Soc.), 13, 65

Browne R. L., 1975, Techniques for Testing the Constancy of Regression Relationship Over Time. J, Roy. Statist. Soc., 37, 149

10.2307/1427125

10.1214/aos/1176342999

10.1214/aos/1176343000

Feller W., 1966, An Introduction to Probability Theory and its Applications

10.1137/0710036

10.1214/aos/1176344207

Ozaki T., 1975, On the Fitting of Non‐stationary Autoregressive Models in Time Series Analysis

Petruccelli J. D., 1984, A Threshold AR(1) Model, J. Appl. prob., 21, 270, 10.2307/3213639

10.1093/comjnl/7.2.155

10.2307/4241

10.1007/BF00533299

10.1007/978-1-4684-7888-4