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Volumn 27, Issue 1, 1998, Pages 185-198

Testing for a unit root in an AR(1) model using three and four moment approximations: Symmetric distributions

Author keywords

Chi square distribution; F distribution; Hypothesis testing; Likelihood function; Modified likelihood; Time series; Unit root

Indexed keywords


EID: 0042222567     PISSN: 03610918     EISSN: None     Source Type: Journal    
DOI: 10.1080/03610919808813474     Document Type: Article
Times cited : (30)

References (24)
  • 1
    • 84972434087 scopus 로고
    • The limiting distribution of the t ratio under a unit root
    • Abadir K.M. (1995). The limiting distribution of the t ratio under a unit root. Econometric Theory 11, 775-793.
    • (1995) Econometric Theory , vol.11 , pp. 775-793
    • Abadir, K.M.1
  • 2
    • 0001402509 scopus 로고
    • The asymptotics of maximum likelihood and related estimators based on Type II censored data
    • Bhattacharyya, G.K. (1985). The asymptotics of maximum likelihood and related estimators based on Type II censored data. J. Amer. Statist. Assoc. 80, 398-404.
    • (1985) J. Amer. Statist. Assoc. , vol.80 , pp. 398-404
    • Bhattacharyya, G.K.1
  • 3
    • 85036258669 scopus 로고
    • Distribution of the estimators for autoregressive time series with unit root
    • Dickey, D.A. and W.A. Fuller (1979). Distribution of the estimators for autoregressive time series with unit root. Journal of American statistical Association 74, 427-431.
    • (1979) Journal of American Statistical Association , vol.74 , pp. 427-431
    • Dickey, D.A.1    Fuller, W.A.2
  • 4
    • 0003410290 scopus 로고
    • Princeton University Press: New Jersey
    • Hamilton, James D. (1994). Time Series Analysis. Princeton University Press: New Jersey.
    • (1994) Time Series Analysis
    • Hamilton, J.D.1
  • 6
    • 52449135642 scopus 로고
    • On estimating the scale parameter of Rayleigh distribution from censored samples
    • Lee, K.R., C.H. Kapadia and B.B. Dwight (1980). On estimating the scale parameter of Rayleigh distribution from censored samples. Statist. Hefte 21, 14-20
    • (1980) Statist. Hefte , vol.21 , pp. 14-20
    • Lee, K.R.1    Kapadia, C.H.2    Dwight, B.B.3
  • 7
    • 0001684355 scopus 로고
    • Note on an approximation to the distribution of noncentral chi-square
    • Pearson, E.S. (1959). Note on an approximation to the distribution of noncentral chi-square. Biometrika 46, 364.
    • (1959) Biometrika , vol.46 , pp. 364
    • Pearson, E.S.1
  • 8
    • 0346092763 scopus 로고
    • Some notes on the relationship between the distributions of central and noncentral F
    • Pearson, E.S. and M.L. Tiku (1970). Some notes on the relationship between the distributions of central and noncentral F. Biometrika 75, 335-346.
    • (1970) Biometrika , vol.75 , pp. 335-346
    • Pearson, E.S.1    Tiku, M.L.2
  • 9
    • 77956888124 scopus 로고
    • Testing for a unit root in time series regression
    • Phillips, P.C.B. and P. Perron (1988). Testing for a unit root in time series regression. Biometrika 75, 335-346.
    • (1988) Biometrika , vol.75 , pp. 335-346
    • Phillips, P.C.B.1    Perron, P.2
  • 10
    • 0002009203 scopus 로고
    • Three parameter lognormal estimation from censored data
    • Smith, W.B., C.D. Zeis and G.W. Syler (1973). Three parameter lognormal estimation from censored data. J. Ind. Statist. Assoc. 11, 15-31.
    • (1973) J. Ind. Statist. Assoc. , vol.11 , pp. 15-31
    • Smith, W.B.1    Zeis, C.D.2    Syler, G.W.3
  • 11
    • 0000641242 scopus 로고
    • On Tiku's robust procedure - A Bayesian insight
    • Tan, W.Y. (1985). On Tiku's robust procedure - a Bayesian insight. J.Statist. Plann. and Inf. 11, 329-340.
    • (1985) J.Statist. Plann. and Inf. , vol.11 , pp. 329-340
    • Tan, W.Y.1
  • 13
    • 0347984119 scopus 로고
    • Distribution of the derivative of the likelihood function
    • Tiku, M.L. (1966). Distribution of the derivative of the likelihood function. Nature 20, 766.
    • (1966) Nature , vol.20 , pp. 766
    • Tiku, M.L.1
  • 14
    • 0014098340 scopus 로고
    • Estimating the mean and standard deviation from a censored normal sample
    • Tiku, M.L. (1967). Estimating the mean and standard deviation from a censored normal sample. Biometrika 54, 155-65.
    • (1967) Biometrika , vol.54 , pp. 155-165
    • Tiku, M.L.1
  • 15
    • 0008524107 scopus 로고
    • Estimating the parameters of normal and logistic distributions from censored samples
    • Tiku, M.L. (1968). Estimating the parameters of normal and logistic distributions from censored samples. Aust. J. Statist. 10, 64-74.
    • (1968) Aust. J. Statist. , vol.10 , pp. 64-74
    • Tiku, M.L.1
  • 16
    • 84990541233 scopus 로고
    • A four-moment approximation based on the F distribution
    • Tiku, M.L. and D.Y.N. Yip (1978). A four-moment approximation based on the F distribution. Aust. J. Statist. 20, 257-261.
    • (1978) Aust. J. Statist. , vol.20 , pp. 257-261
    • Tiku, M.L.1    Yip, D.Y.N.2
  • 18
    • 38249014823 scopus 로고
    • A new method of estimation for location and scale parameters
    • Tiku, M.L and R.P. Suresh (1992). A new method of estimation for location and scale parameters. J. Stat. Plann. and Inf. 30, 281-292.
    • (1992) J. Stat. Plann. and Inf. , vol.30 , pp. 281-292
    • Tiku, M.L.1    Suresh, R.P.2
  • 20
    • 28244487573 scopus 로고
    • On the Tiku-Suresh method of estimation
    • Vaughan, D.C. (1992a). On the Tiku-Suresh method of estimation. Commun. Stat. Theory Meth.21, 451-69.
    • (1992) Commun. Stat. Theory Meth. , vol.21 , pp. 451-469
    • Vaughan, D.C.1
  • 21
    • 0040471012 scopus 로고
    • Expected values, variances and covariances of order sttistics for Student's t distribution with two degrees of freedom
    • Vaughan, D.C. (1992b). Expected values, variances and covariances of order sttistics for Student's t distribution with two degrees of freedom. Commun. Stat. Simul. 21, 391-404.
    • (1992) Commun. Stat. Simul. , vol.21 , pp. 391-404
    • Vaughan, D.C.1
  • 22
    • 84973004929 scopus 로고
    • The exact values of the expected values, variances and covariances of the order statistics from the Cauchy distribution
    • Vaughan, D.C. (1994). The exact values of the expected values, variances and covariances of the order statistics from the Cauchy distribution. J. Stat. Comput. Simul. 49, 21-32.
    • (1994) J. Stat. Comput. Simul. , vol.49 , pp. 21-32
    • Vaughan, D.C.1
  • 23
    • 0030517967 scopus 로고    scopus 로고
    • Exact moments for autoregressive and random walk models for a zero or stationary initial value
    • Vinod, H.D. and L.R. Shenton (1996). Exact moments for autoregressive and random walk models for a zero or stationary initial value. Econometric Theory 12, 481-499.
    • (1996) Econometric Theory , vol.12 , pp. 481-499
    • Vinod, H.D.1    Shenton, L.R.2


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.