메뉴 건너뛰기




Volumn 28, Issue 4, 1996, Pages 307-346

Asymptotic distribution of least squares estimators for purely unstable ARMA (m, ∞)

Author keywords

ARMA; Brownian motion; Functional limit theorem; Least squares estimators; Limit law; Stochastic integrals; Weak convergence

Indexed keywords


EID: 3643099425     PISSN: 02331888     EISSN: None     Source Type: Journal    
DOI: 10.1080/02331889708802567     Document Type: Article
Times cited : (6)

References (16)
  • 1
    • 0038915316 scopus 로고
    • Weak convergence of stochastic integrals related to counting processes
    • Aalen, O. O. (1977). Weak convergence of stochastic integrals related to counting processes, Z. Wahrscheinlichkeitstheorie verw. Gebiete, 38, 261-277.
    • (1977) Z. Wahrscheinlichkeitstheorie Verw. Gebiete , vol.38 , pp. 261-277
    • Aalen, O.O.1
  • 2
    • 84986764164 scopus 로고
    • Distributions of least squares estimators of autoregressive parameters for a process with complex roots on the unit circle
    • Ahtola, J. and Tiao, G. C. (1987). Distributions of least squares estimators of autoregressive parameters for a process with complex roots on the unit circle, J. Time Series Anal., 8, 1-14.
    • (1987) J. Time Series Anal. , vol.8 , pp. 1-14
    • Ahtola, J.1    Tiao, G.C.2
  • 3
    • 3643103352 scopus 로고
    • Serial dependence properties of ARUMA models
    • Anderson, O. D. (1980). Serial dependence properties of ARUMA models, Cahiers du C.E.R.O. no 3-4, 309-323.
    • (1980) Cahiers du C.E.R.O. , vol.3-4 , pp. 309-323
    • Anderson, O.D.1
  • 5
    • 0001403934 scopus 로고
    • Limiting distributions of least squares estimates of unstable autoregressive processes
    • Chan, N. H. and Wei, C. Z. (1988). Limiting distributions of least squares estimates of unstable autoregressive processes, Ann. Statist., 16, 367-401.
    • (1988) Ann. Statist. , vol.16 , pp. 367-401
    • Chan, N.H.1    Wei, C.Z.2
  • 6
    • 85036258669 scopus 로고
    • Distribution of the estimators of autoregressive time series with a unit root
    • Dickey, D. A. and Fuller, W. A. (1979). Distribution of the estimators of autoregressive time series with a unit root, J. Amer. Statist. Assoc., 74, 427-431.
    • (1979) J. Amer. Statist. Assoc. , vol.74 , pp. 427-431
    • Dickey, D.A.1    Fuller, W.A.2
  • 7
    • 0000282259 scopus 로고
    • The central limit theorem for stationary processses
    • Gordin, M. I. (1969). The central limit theorem for stationary processses, Soviet Math. Dokl. 10, 1174-1176.
    • (1969) Soviet Math. Dokl. , vol.10 , pp. 1174-1176
    • Gordin, M.I.1
  • 8
    • 0002148462 scopus 로고
    • Central limit theorems for martingales with discrete or continuous time
    • Helland, I. S. (1982). Central limit theorems for martingales with discrete or continuous time, Scand. J. Statist. 9, 79-94.
    • (1982) Scand. J. Statist. , vol.9 , pp. 79-94
    • Helland, I.S.1
  • 9
    • 0000367265 scopus 로고
    • Weak limit theorems for stochastic integrals and stochastic differential equations
    • Kurtz, T. G. and Protter, P. (1991). Weak limit theorems for stochastic integrals and stochastic differential equations, Ann. Probab., 19, 1035-1070.
    • (1991) Ann. Probab. , vol.19 , pp. 1035-1070
    • Kurtz, T.G.1    Protter, P.2
  • 10
    • 0000308535 scopus 로고
    • Time series regression with a unit root
    • Phillips, P. C. B. (1987). Time series regression with a unit root, Econometrica, 55, 277-301.
    • (1987) Econometrica , vol.55 , pp. 277-301
    • Phillips, P.C.B.1
  • 11
    • 0015607661 scopus 로고
    • Central limit theorems for martingales and for processes with stationary increments using a Skorokhod representation approach
    • Scott, D. J. (1973). Central limit theorems for martingales and for processes with stationary increments using a Skorokhod representation approach, Adv. Appl. Probab., 5, 119-137.
    • (1973) Adv. Appl. Probab. , vol.5 , pp. 119-137
    • Scott, D.J.1
  • 12
    • 0001364107 scopus 로고
    • Consistency properties of least squares estimates of autoregressive parameters in ARMA models
    • Tiao, G. C. and Tsay, R. S. (1983). Consistency properties of least squares estimates of autoregressive parameters in ARMA models, Ann. Statist., 11, 856-871.
    • (1983) Ann. Statist. , vol.11 , pp. 856-871
    • Tiao, G.C.1    Tsay, R.S.2
  • 13
    • 3643053171 scopus 로고
    • Loi limite de l'estimateur des moindres carrés dans le modéle autorégressif (cas général)
    • Touati, A. (1990). Loi limite de l'estimateur des moindres carrés dans le modéle autorégressif (cas général), Ann. Inst. H. Poincaré, 26, 549-566.
    • (1990) Ann. Inst. H. Poincaré , vol.26 , pp. 549-566
    • Touati, A.1
  • 15
    • 0001086453 scopus 로고
    • Asymptotic properties of multivariate nonstationary processes with application to autoregressions
    • Tsay, R. S. and Tiao, G. C. (1990). Asymptotic properties of multivariate nonstationary processes with application to autoregressions, Ann. Statist., 18, 220-250.
    • (1990) Ann. Statist. , vol.18 , pp. 220-250
    • Tsay, R.S.1    Tiao, G.C.2
  • 16
    • 0000398784 scopus 로고
    • The limiting distribution of the serial correlation coefficient in the explosive case
    • White, J. S. (1958). The limiting distribution of the serial correlation coefficient in the explosive case, Ann. Math. Statist., 29, 1188-1197.
    • (1958) Ann. Math. Statist. , vol.29 , pp. 1188-1197
    • White, J.S.1


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.