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Volumn 17, Issue 3, 1996, Pages 309-321

Testing for a unit root in an AR(1) time series using irregularly observed data

Author keywords

Autoregressive model; Large sample; Missing or unequally spaced data; Monte Carlo study; Newton Raphson estimator; Unit root

Indexed keywords


EID: 0346141543     PISSN: 01439782     EISSN: None     Source Type: Journal    
DOI: 10.1111/j.1467-9892.1996.tb00278.x     Document Type: Article
Times cited : (5)

References (29)
  • 1
    • 0001317712 scopus 로고
    • Exact likelihood of vector autoregressive-moving average process with missing or aggregated data
    • ANSLEY, C. F. and KOHN, R. (1983) Exact likelihood of vector autoregressive-moving average process with missing or aggregated data. Biometrika 70, 275-78.
    • (1983) Biometrika , vol.70 , pp. 275-278
    • Ansley, C.F.1    Kohn, R.2
  • 2
    • 85036258669 scopus 로고
    • Distribution of the estimators for autoregressive time series with a unit root
    • DICKEY, D. A. and FULLER, W. A. (1979) Distribution of the estimators for autoregressive time series with a unit root. J. Am. Statist. Assoc. 74, 427-31.
    • (1979) J. Am. Statist. Assoc. , vol.74 , pp. 427-431
    • Dickey, D.A.1    Fuller, W.A.2
  • 3
    • 0000472488 scopus 로고
    • Likelihood ratio statistics for autoregressive time series with a unit root
    • _ and _ (1981) Likelihood ratio statistics for autoregressive time series with a unit root. Econometrica 49, 1057-72.
    • (1981) Econometrica , vol.49 , pp. 1057-1072
  • 5
    • 2342565185 scopus 로고
    • Estimation for stationary time series when data are irregularly spaced or missing
    • (ed D. F. Findley). New York: Academic Press
    • DUNSMUIR, W. (1981) Estimation for stationary time series when data are irregularly spaced or missing. In Applied Time Series, Vol. 2 (ed D. F. Findley). New York: Academic Press, pp. 609-49.
    • (1981) Applied Time Series , vol.2 , pp. 609-649
    • Dunsmuir, W.1
  • 6
    • 0040926857 scopus 로고
    • A central limit theorem for estimation in Gaussian stationary time series observed at equally spaced times
    • _ (1983) A central limit theorem for estimation in Gaussian stationary time series observed at equally spaced times. Stoch. Processes Appl. 14, 279-95.
    • (1983) Stoch. Processes Appl. , vol.14 , pp. 279-295
  • 7
    • 77950845635 scopus 로고
    • Estimation of time series models in the presence of missing data
    • _ and ROBINSON, P. M. (1981) Estimation of time series models in the presence of missing data. J. Am. Statist. Assoc. 76, 560-68.
    • (1981) J. Am. Statist. Assoc. , vol.76 , pp. 560-568
    • Robinson, P.M.1
  • 9
    • 0002821574 scopus 로고
    • Testing for a unit root in the presence of moving average errors
    • HALL, A. (1989) Testing for a unit root in the presence of moving average errors. Biometrika 76, 49-56.
    • (1989) Biometrika , vol.76 , pp. 49-56
    • Hall, A.1
  • 10
    • 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
  • 11
    • 49049143455 scopus 로고
    • Trends and random walks in macroeconomic time series: Some evidence and implications
    • NELSON, C. R. and PLOSSER, C. (1982) Trends and random walks in macroeconomic time series: Some evidence and implications. J. Monetary Econ. 10, 139-62.
    • (1982) J. Monetary Econ. , vol.10 , pp. 139-162
    • Nelson, C.R.1    Plosser, C.2
  • 12
    • 0000779920 scopus 로고
    • Testing for unit roots in autoregressive moving average models. An instrumental variable approach
    • PANTULA, S. G. and HALL, A. (1991) Testing for unit roots in autoregressive moving average models. An instrumental variable approach. J. Econometrics 48, 325-53.
    • (1991) J. Econometrics , vol.48 , pp. 325-353
    • Pantula, S.G.1    Hall, A.2
  • 13
    • 0011692873 scopus 로고
    • A continuous time approximation to the unstable first-order autoregressive process: The case without an intercept
    • PERRON, P. (1991a) A continuous time approximation to the unstable first-order autoregressive process: The case without an intercept. Econometrica 59, 211-36.
    • (1991) Econometrica , vol.59 , pp. 211-236
    • Perron, P.1
  • 14
    • 84972074618 scopus 로고
    • Test consistency with varying sampling frequency
    • _ (1991b) Test consistency with varying sampling frequency. Econometric Theory 7, 341-68.
    • (1991) Econometric Theory , vol.7 , pp. 341-368
  • 15
    • 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
  • 16
    • 77956888124 scopus 로고
    • Testing for a unit root in time series regression
    • _ and PERRON, P. (1988) Testing for a unit root in time series regression. Biometrika 75, 335-46.
    • (1988) Biometrika , vol.75 , pp. 335-346
    • Perron, P.1
  • 17
    • 2342517596 scopus 로고
    • Asymptotic distribution of parameter estimators for nonconsecutively observed time series
    • REINSEL, G. C. and WINCEK, M. A. (1987) Asymptotic distribution of parameter estimators for nonconsecutively observed time series. Biometrika 74, 115-24.
    • (1987) Biometrika , vol.74 , pp. 115-124
    • Reinsel, G.C.1    Wincek, M.A.2
  • 18
    • 0001915265 scopus 로고
    • Estimation of a time series model from unequally spaced data
    • ROBINSON, P. M. (1977) Estimation of a time series model from unequally spaced data. Stoch. Processes Appl. 6, 9-24.
    • (1977) Stoch. Processes Appl. , vol.6 , pp. 9-24
    • Robinson, P.M.1
  • 19
    • 0010941701 scopus 로고
    • Testing for serial correlation in regression with missing observations
    • _ (1985) Testing for serial correlation in regression with missing observations. J. R. Statist. Soc. B 47, 429-37.
    • (1985) J. R. Statist. Soc. B , vol.47 , pp. 429-437
  • 20
    • 19044371729 scopus 로고
    • Testing for unit roots in autoregressive-moving average models of unknown order
    • SAID, S. E. and DICKEY, D. A. (1984) Testing for unit roots in autoregressive-moving average models of unknown order. Biometrika 71, 599-607.
    • (1984) Biometrika , vol.71 , pp. 599-607
    • Said, S.E.1    Dickey, D.A.2
  • 21
    • 0002189131 scopus 로고
    • Hypothesis testing in ARIMA(p, 1, q) models
    • _ and _ (1985) Hypothesis testing in ARIMA(p, 1, q) models. J. Am. Statist. Assoc. 80, 369-74.
    • (1985) J. Am. Statist. Assoc. , vol.80 , pp. 369-374
  • 22
    • 51249183804 scopus 로고
    • Fitting autoregression with regularly missed observations
    • SAKAI, H. (1980) Fitting autoregression with regularly missed observations. Ann. Inst. Statist. Math. A 32, 393-400.
    • (1980) Ann. Inst. Statist. Math. A , vol.32 , pp. 393-400
    • Sakai, H.1
  • 23
    • 0002814040 scopus 로고
    • Effects of model specification on tests for unit roots in macroeconomic data
    • SCHWERT, G. W. (1987) Effects of model specification on tests for unit roots in macroeconomic data. J. Monetary Econ. 20, 73-103.
    • (1987) J. Monetary Econ. , vol.20 , pp. 73-103
    • Schwert, G.W.1
  • 25
    • 38248999918 scopus 로고
    • A note on testing for a unit root in an ARIMA(p, 1, 0) signal observed with MA(q) noise
    • SHIN, D. W. and SARKAR, S. (1993) A note on testing for a unit root in an ARIMA(p, 1, 0) signal observed with MA(q) noise. Stat. Probab. Lett. 18, 195-203.
    • (1993) Stat. Probab. Lett. , vol.18 , pp. 195-203
    • Shin, D.W.1    Sarkar, S.2
  • 26
    • 0347433768 scopus 로고
    • Testing for a unit root in an ARIMA(p, 1, 0) signal observed with MA(q) noise
    • _ and _ (1994a) Testing for a unit root in an ARIMA(p, 1, 0) signal observed with MA(q) noise. Commun. Stat.: Theory Methods 23, 2643-70.
    • (1994) Commun. Stat.: Theory Methods , vol.23 , pp. 2643-2670
  • 27
    • 38149146251 scopus 로고
    • Unit root tests for ARIMA(0, 1, q) models with irregularly observed samples
    • _ and _ (1994b) Unit root tests for ARIMA(0, 1, q) models with irregularly observed samples. Stat. Probab. Lett. 19, 189-94.
    • (1994) Stat. Probab. Lett. , vol.19 , pp. 189-194
  • 28
    • 2342584852 scopus 로고
    • Estimation for stationary AR(1) models with nonconsecutively observed samples
    • Series A, forthcoming
    • _ and _ (1995) Estimation for stationary AR(1) models with nonconsecutively observed samples. Sankhya, Series A, Vol. 57, Part 3 forthcoming.
    • (1995) Sankhya , vol.57 , Issue.3 PART
  • 29
    • 0009689816 scopus 로고
    • An exact maximum likelihood estimation procedure for regression-ARMA time series models with possibly nonconsecutive data
    • WINCEK, M. A. and REINSEL, G. C. (1986) An exact maximum likelihood estimation procedure for regression-ARMA time series models with possibly nonconsecutive data. J. R. Statist. Soc. B 48, 303-13.
    • (1986) J. R. Statist. Soc. B , vol.48 , pp. 303-313
    • Wincek, M.A.1    Reinsel, G.C.2


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.