메뉴 건너뛰기




Volumn 55, Issue 1, 1997, Pages 53-59

A consistent nonparametric test for linearity of AR(p) models

Author keywords

Absolute regularity; Asymptotic normality; Autoregressive model; C52; Consistent test; Kernel estimation

Indexed keywords


EID: 0031571253     PISSN: 01651765     EISSN: None     Source Type: Journal    
DOI: 10.1016/S0165-1765(97)00054-2     Document Type: Article
Times cited : (9)

References (25)
  • 1
    • 0001627244 scopus 로고
    • Identification of nonlinear series: First order characterization and order determination
    • Auestad B., Tjostheim D. Identification of nonlinear series: first order characterization and order determination. Biometrika. 77:1990;669-688.
    • (1990) Biometrika , vol.77 , pp. 669-688
    • Auestad, B.1    Tjostheim, D.2
  • 3
    • 0001739403 scopus 로고
    • Asymptotic distribution of robust estimators for nonparametric models from mixing processes
    • Boente G., Fraiman R. Asymptotic distribution of robust estimators for nonparametric models from mixing processes. The Annals of Statistics. 18:1990;891-906.
    • (1990) The Annals of Statistics , vol.18 , pp. 891-906
    • Boente, G.1    Fraiman, R.2
  • 4
  • 5
    • 34250109475 scopus 로고
    • A central limit theorem for generalized quadratic forms
    • De Jong P. A central limit theorem for generalized quadratic forms. Probability Theory Rel. Fields. 75:1987;261-277.
    • (1987) Probability Theory Rel. Fields , vol.75 , pp. 261-277
    • De Jong, P.1
  • 6
    • 0030353969 scopus 로고    scopus 로고
    • Consistent model specification tests: Omitted variables and semiparametric functional forms
    • Fan Y., Li Q. Consistent model specification tests: Omitted variables and semiparametric functional forms. Econometrica. 64:1996;865-890.
    • (1996) Econometrica , vol.64 , pp. 865-890
    • Fan, Y.1    Li, Q.2
  • 9
    • 0001872520 scopus 로고
    • Central limit theorem for integrated square error of multivariate nonparametric density estimators
    • Hall P. Central limit theorem for integrated square error of multivariate nonparametric density estimators. Journal of Multivariate Analysis. 14:1984;1-16.
    • (1984) Journal of Multivariate Analysis , vol.14 , pp. 1-16
    • Hall, P.1
  • 10
    • 0040971346 scopus 로고
    • Nonparametric tests of linearity for time series
    • Hjellvik V., Tjostheim D. Nonparametric tests of linearity for time series. Biometrika. 82:1995;351-368.
    • (1995) Biometrika , vol.82 , pp. 351-368
    • Hjellvik, V.1    Tjostheim, D.2
  • 11
    • 0010668434 scopus 로고
    • Limiting behavior of generalized U-statistics of weakly dependent stationary processes
    • Khashimov Sh.A. Limiting behavior of generalized U-statistics of weakly dependent stationary processes. Theory of Probability and its Applications. 37:1992;148-150.
    • (1992) Theory of Probability and Its Applications , vol.37 , pp. 148-150
    • Khashimov, Sh.a.1
  • 14
    • 84974185463 scopus 로고
    • Nonparametric estimation and identification of non-linear ARCH time series: Strong convergence and asymptotic normality
    • Masry E., Tjostheim D. Nonparametric estimation and identification of non-linear ARCH time series: strong convergence and asymptotic normality. Econometric Theory. 11:1995;258-289.
    • (1995) Econometric Theory , vol.11 , pp. 258-289
    • Masry, E.1    Tjostheim, D.2
  • 15
    • 84986786266 scopus 로고
    • Sur un modéle autorégressif non linéaire, ergodicité et ergodicité géométrique
    • Mokkadem A. Sur un modéle autorégressif non linéaire, ergodicité et ergodicité géométrique. Journal of Time Series Anal. 8:1987;195-204.
    • (1987) Journal of Time Series Anal. , vol.8 , pp. 195-204
    • Mokkadem, A.1
  • 16
    • 0000548970 scopus 로고
    • Mixing properties of ARMA processes
    • Mokkadem A. Mixing properties of ARMA processes. Stochastic Process. Appl. 29:1988;309-315.
    • (1988) Stochastic Process. Appl. , vol.29 , pp. 309-315
    • Mokkadem, A.1
  • 17
    • 0001703939 scopus 로고
    • The mixing property of bilinear and generalized random coefficient autoregressive models
    • Pham D.T. The mixing property of bilinear and generalized random coefficient autoregressive models. Stochastic Process. Appl. 23:1986;291-300.
    • (1986) Stochastic Process. Appl. , vol.23 , pp. 291-300
    • Pham, D.T.1
  • 18
    • 0001155464 scopus 로고
    • Some mixing properties of time series models
    • Pham D.T., Tran L.T. Some mixing properties of time series models. Stochastic Process. Appl. 19:1985;297-303.
    • (1985) Stochastic Process. Appl. , vol.19 , pp. 297-303
    • Pham, D.T.1    Tran, L.T.2
  • 19
    • 0000018365 scopus 로고
    • Robust nonparametric autoregression
    • Robinson P.M. Robust nonparametric autoregression. Lecture Notes in Statistics. 26:1984;247-255.
    • (1984) Lecture Notes in Statistics , vol.26 , pp. 247-255
    • Robinson, P.M.1
  • 20
    • 38249019654 scopus 로고
    • Asymptotic normality of the kernel estimate under dependence conditions: Applications to hazard rate
    • Roussas G.G. Asymptotic normality of the kernel estimate under dependence conditions: Applications to hazard rate. Journal of Statistical Planning and Inference. 25:1990;81-104.
    • (1990) Journal of Statistical Planning and Inference , vol.25 , pp. 81-104
    • Roussas, G.G.1
  • 21
    • 84950945751 scopus 로고
    • Nonparametric identification of nonlinear time series: Selecting significant lags
    • Tjostheim D., Auestad B. Nonparametric identification of nonlinear time series: Selecting significant lags. Journal of the American Statistical Association. 89:1994;1410-1419.
    • (1994) Journal of the American Statistical Association , vol.89 , pp. 1410-1419
    • Tjostheim, D.1    Auestad, B.2
  • 22
    • 0003348046 scopus 로고
    • Threshold models in nonlinear time series analysis
    • Springer, New York
    • Tong, H., 1983. Threshold models in nonlinear time series analysis. Lecture notes in statistics 21, Springer, New York.
    • (1983) Lecture Notes in Statistics , vol.21
    • Tong, H.1
  • 24
    • 0003255428 scopus 로고
    • Estimation, Inference and Specification Analysis
    • Cambridge University Press
    • White, H., 1994. Estimation, Inference and Specification Analysis. Econometric Society Monographs No. 22, Cambridge University Press.
    • (1994) Econometric Society Monographs , vol.22
    • White, H.1
  • 25
    • 0040220600 scopus 로고
    • Limiting behavior of U-statistics for stationary, absolutely regular processes
    • Yoshihara K. Limiting behavior of U-statistics for stationary, absolutely regular processes. Z. Wahrscheinlichkeitstheorie verw. Gebiete. 35:1976;237-252.
    • (1976) Z. Wahrscheinlichkeitstheorie Verw. Gebiete , vol.35 , pp. 237-252
    • Yoshihara, K.1


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.