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Volumn 75, Issue 1, 1998, Pages 21-46

On maximum likelihood estimators for a threshold autoregression

Author keywords

Asymptotic normality and compound Poisson process; Coefficient parameter estimator* n Consistency; Primary 62M10; Secondary 62A10, 62G05; Threshold estimator

Indexed keywords


EID: 0009918339     PISSN: 03783758     EISSN: None     Source Type: Journal    
DOI: 10.1016/s0378-3758(98)00113-x     Document Type: Article
Times cited : (30)

References (21)
  • 1
    • 0000501656 scopus 로고
    • Information theory and an extension of the maximum likelihood principle
    • In: Petrov, B.N., Csaki, F. (Eds.) Budapest
    • Akaike, H., 1973. Information theory and an extension of the maximum likelihood principle. In: Petrov, B.N., Csaki, F. (Eds.), 2nd Int. Symp. on Inf. Th. Akademia Kiado, Budapest, pp. 267-281.
    • (1973) 2nd Int. Symp. on Inf. Th. Akademia Kiado , pp. 267-281
    • Akaike, H.1
  • 2
    • 0000773483 scopus 로고
    • On the use of the deterministic lyapunov function for the ergodicity of stochastic difference equations
    • Chan K.S., Tong H. On the use of the deterministic lyapunov function for the ergodicity of stochastic difference equations. Adv. Appl. Probab. 17:1985;666-678.
    • (1985) Adv. Appl. Probab. , vol.17 , pp. 666-678
    • Chan, K.S.1    Tong, H.2
  • 4
    • 21144465257 scopus 로고
    • Consistency and limiting distribution of the least squares estimator of a threshold autoregressive model
    • Chan K.S. Consistency and limiting distribution of the least squares estimator of a threshold autoregressive model. Ann. Statist. 21:1993;520-533.
    • (1993) Ann. Statist. , vol.21 , pp. 520-533
    • Chan, K.S.1
  • 6
    • 0000250624 scopus 로고
    • The behavior of maximum likelihood estimates under nonstandard conditions
    • Univ. California Press, Berkeley
    • Huber P.J., 1967. The behavior of maximum likelihood estimates under nonstandard conditions. In: Proc. 5th Berkeley Symp. Math. Statist. Probab., vol. 1. Univ. California Press, Berkeley, pp. 221-234.
    • (1967) In: Proc. 5th Berkeley Symp. Math. Statist. Probab. , vol.1 , pp. 221-234
    • Huber, P.J.1
  • 7
    • 0039180696 scopus 로고
    • Sur la convergence des semimartingales vers un processus a accroissements independents
    • Springer, Berlin, Heidelberg, New York
    • Jacod, J., Mémin, J., 1980. Sur la convergence des semimartingales vers un processus a accroissements independents. Seminaire des probabilities 1979/80, Lecture Notes, vol. 784. Springer, Berlin, Heidelberg, New York, pp. 227-248.
    • (1980) Seminaire des Probabilities 1979/80, Lecture Notes , vol.784 , pp. 227-248
    • Jacod, J.1    Mémin, J.2
  • 12
    • 84986743964 scopus 로고
    • On the consistency of least squares estimators for a threshold AR(1) model
    • Petruccelli J.D. On the consistency of least squares estimators for a threshold AR(1) model. J. Time Series Anal. 4:1986;269-278.
    • (1986) J. Time Series Anal. , vol.4 , pp. 269-278
    • Petruccelli, J.D.1
  • 13
    • 0002854136 scopus 로고
    • The limiting log-likelihood process for discontinuous density families
    • Pflug Ch.G. The limiting log-likelihood process for discontinuous density families. Z. Wahrscheinlichkeitstheorie verw. Gebiete. 64:1983;15-35.
    • (1983) Z. Wahrscheinlichkeitstheorie Verw. Gebiete , vol.64 , pp. 15-35
    • Pflug, Ch.g.1
  • 15
    • 0040959436 scopus 로고
    • Discussion of a paper by A.J. Lawrance and N.T. Kotlegoda
    • Tong H. Discussion of a paper by A.J. Lawrance and N.T. Kotlegoda. J. Roy. Statist. Soc. Ser A. 140:1977;34-35.
    • (1977) J. Roy. Statist. Soc. Ser a , vol.140 , pp. 34-35
    • Tong, H.1
  • 19
    • 0003348046 scopus 로고
    • Threshold models in non-linear time series analysis
    • Springer, Berlin
    • Tong, H., 1983. Threshold models in non-linear time series analysis. Lecture Notes in Statist., vol. 21. Springer, Berlin.
    • (1983) Lecture Notes in Statist. , vol.21
    • Tong, H.1
  • 21
    • 0018977055 scopus 로고
    • Some useful functions for functional limit theorems
    • Whitt W. Some useful functions for functional limit theorems. Math. Oper. Res. 5:1980;67-85.
    • (1980) Math. Oper. Res. , vol.5 , pp. 67-85
    • Whitt, W.1


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.