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Volumn 28, Issue 2, 1999, Pages 315-341

Estimating parameters in autoregressive models in non-normal situations: Symmetric innovations

Author keywords

Autoregression; Least squares; Maximum likelihood; Modified maximum likelihood; Nonnormality; Robustness; Student's t.

Indexed keywords


EID: 26844566214     PISSN: 03610926     EISSN: None     Source Type: Journal    
DOI: 10.1080/03610929908832300     Document Type: Article
Times cited : (48)

References (46)
  • 1
    • 26944493225 scopus 로고
    • The problem of autocorrelation in regression analysis
    • Anderson, R. L. (1949). "The problem of autocorrelation in regression analysis," J. Amer. Statist. Assoc., 44, 113-127.
    • (1949) J. Amer. Statist. Assoc. , vol.44 , pp. 113-127
    • Anderson, R.L.1
  • 2
    • 0013914157 scopus 로고
    • Evaluation of the maximum likelihood estimator when the likelihood equation has multiple roots
    • Barnett, V. C. (1966a). "Evaluation of the maximum likelihood estimator when the likelihood equation has multiple roots," Biometrika, 53, 151-165.
    • (1966) Biometrika , vol.53 , pp. 151-165
    • Barnett, V.C.1
  • 3
    • 0000075415 scopus 로고
    • Order statistics estimators of the location of the Cauchy distribution
    • Barnett, V. D. (1966b). "Order statistics estimators of the location of the Cauchy distribution," J. Amer. Statist. Assoc., 61, 1205-1218.
    • (1966) J. Amer. Statist. Assoc. , vol.61 , pp. 1205-1218
    • Barnett, V.D.1
  • 4
    • 0001058475 scopus 로고
    • Approximate confidence intervals
    • Bartlett, M. S. (1953). "Approximate confidence intervals," Biometrika, 40, 12-19.
    • (1953) Biometrika , vol.40 , pp. 12-19
    • Bartlett, M.S.1
  • 5
    • 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
  • 6
    • 0001826397 scopus 로고
    • A maximum likelihood procedure for regression with autocorrelated errors
    • Beach, C. M. and Mackinnon, J. G. (1978). "A maximum likelihood procedure for regression with autocorrelated errors," Econometrics, 46, 51-58.
    • (1978) Econometrics , vol.46 , pp. 51-58
    • Beach, C.M.1    Mackinnon, J.G.2
  • 7
    • 4043126307 scopus 로고    scopus 로고
    • Bayesian inference based on robust priors and MML estimators. Part I, symmetric location-scale distributions
    • Bian, G. and Tiku, M. L. (1997a). "Bayesian inference based on robust priors and MML estimators. Part I, symmetric location-scale distributions," Statistics, 29, 317-345.
    • (1997) Statistics , vol.29 , pp. 317-345
    • Bian, G.1    Tiku, M.L.2
  • 8
    • 4243109834 scopus 로고    scopus 로고
    • Bayesian inference based on robust priors and MML estimators: Part II, skew location-scale distributions
    • Bian, G. and Tiku, M. L. (1997b). "Bayesian inference based on robust priors and MML estimators: Part II, skew location-scale distributions," Statistics, 29, 81-99.
    • (1997) Statistics , vol.29 , pp. 81-99
    • Bian, G.1    Tiku, M.L.2
  • 9
    • 84947352928 scopus 로고
    • Application of least squares regression to relationships containing autocorrelated error terms
    • Cochrane, D. and Orcutt, G. H. (1949). "Application of least squares regression to relationships containing autocorrelated error terms," J. Amer. Statist. Assoc., 44, 32-61.
    • (1949) J. Amer. Statist. Assoc. , vol.44 , pp. 32-61
    • Cochrane, D.1    Orcutt, G.H.2
  • 10
    • 26944495130 scopus 로고
    • 1 approach
    • (K. D. Lawrence and J. L. Arthur, Eds.). New York: Marcel Dekker
    • 1 approach," Robust Regression, (K. D. Lawrence and J. L. Arthur, Eds.). New York: Marcel Dekker.
    • (1990) Robust Regression
    • Cogger, K.O.1
  • 11
    • 84950035237 scopus 로고
    • Efficiency of ordinary least square for linear model with autocorrelation
    • Dielman, T. E. and Pfaffenberger, R. C. (1989). "Efficiency of ordinary least square for linear model with autocorrelation," J. Amer. Statist. Assoc., 84, 248.
    • (1989) J. Amer. Statist. Assoc. , vol.84 , pp. 248
    • Dielman, T.E.1    Pfaffenberger, R.C.2
  • 12
    • 0000585353 scopus 로고
    • Estimation of parameters in time-series regression model
    • Durbin, J. (1960). "Estimation of parameters in time-series regression model," J. Roy. Stat. Soc., B, 22, 139-153.
    • (1960) J. Roy. Stat. Soc., B , vol.22 , pp. 139-153
    • Durbin, J.1
  • 13
    • 0000244944 scopus 로고
    • Nonlinear regression with autocorrelated error
    • Gallant, A. R. and Goebel, J. J. (1976). "Nonlinear regression with autocorrelated error," J. Amer. Statist. Assoc., 71, 961-967.
    • (1976) J. Amer. Statist. Assoc. , vol.71 , pp. 961-967
    • Gallant, A.R.1    Goebel, J.J.2
  • 14
    • 0003410290 scopus 로고
    • New Jersey: Princeton University Press
    • Hamilton, J. D. (1994). Time series analysis, New Jersey: Princeton University Press.
    • (1994) Time Series Analysis
    • Hamilton, J.D.1
  • 17
    • 84950617944 scopus 로고
    • Finite sample efficiency of ordinary least square in the linear regression with autocorrelated errors
    • Kramer, W. (1980). "Finite sample efficiency of ordinary least square in the linear regression with autocorrelated errors," J. Amer. Statist. Assoc., 75, 1005-1009.
    • (1980) J. Amer. Statist. Assoc. , vol.75 , pp. 1005-1009
    • Kramer, W.1
  • 18
    • 52449135642 scopus 로고
    • On estimating the scale parameter of Rayleigh distribution from censored samples
    • Lee, K. R., Kapadia, C. H. and Dwight, B. B. (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
  • 19
    • 26944467377 scopus 로고
    • Efficiency of estimators in the regression model with first-order autoregressive errors
    • Internat. Lib. Econom., London: Routledge and Kegan Paul
    • Magee, L., Ullah, A. and Srivastava, V. K. (1987). "Efficiency of estimators in the regression model with first-order autoregressive errors," Specification analysis in the linear model, Internat. Lib. Econom., London: Routledge and Kegan Paul, 81-98.
    • (1987) Specification Analysis in the Linear Model , pp. 81-98
    • Magee, L.1    Ullah, A.2    Srivastava, V.K.3
  • 20
    • 84972823008 scopus 로고
    • Regression with autoregressive errors-some asymptotic results
    • Maller, R. A. (1989). "Regression with autoregressive errors-some asymptotic results," Statistics, 20, 23-39.
    • (1989) Statistics , vol.20 , pp. 23-39
    • Maller, R.A.1
  • 21
    • 26944433259 scopus 로고
    • Least squares estimation of the linear model with autoregressive errors
    • New Directions in time series analysis, Part I, New York: Springer
    • Nagaraj, N. K. and Fuller, W. A. (1992). "Least squares estimation of the linear model with autoregressive errors," New Directions in time series analysis, Part I, IMA Vol. Math. Appl. 45, New York: Springer, 215-225.
    • (1992) IMA Vol. Math. Appl. , vol.45 , pp. 215-225
    • Nagaraj, N.K.1    Fuller, W.A.2
  • 23
    • 84963144856 scopus 로고
    • Maximum likelihood estimation for linear regression model with autoregressive errors
    • Schäffer, S. (1991). "Maximum likelihood estimation for linear regression model with autoregressive errors," Statistics, 22, 191-198.
    • (1991) Statistics , vol.22 , pp. 191-198
    • Schäffer, S.1
  • 26
    • 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
  • 27
    • 0039286160 scopus 로고
    • Some robust procedures for estimating parameters in an autoregressive model
    • Tan, W. Y. and Lin, V. (1993). "Some robust procedures for estimating parameters in an autoregressive model," Sankhya, B, 55, 415-435.
    • (1993) Sankhya, B , vol.55 , pp. 415-435
    • Tan, W.Y.1    Lin, V.2
  • 28
    • 3743098810 scopus 로고
    • Bayesian analysis of random-effect models in the analysis of variance, II: Effect of autocorrelated error
    • Tiao, C. H. and Tan, W. Y. (1966). "Bayesian analysis of random-effect models in the analysis of variance, II: effect of autocorrelated error," Biometrika, 53, 477-495.
    • (1966) Biometrika , vol.53 , pp. 477-495
    • Tiao, C.H.1    Tan, W.Y.2
  • 29
    • 0014098340 scopus 로고
    • Estimating the mean and standard deviation from censored normal samples
    • Tiku, M. L. (1967). "Estimating the mean and standard deviation from censored normal samples," Biometrika, 54, 155-165.
    • (1967) Biometrika , vol.54 , pp. 155-165
    • Tiku, M.L.1
  • 30
    • 0009956443 scopus 로고
    • Estimating the parameters of log-normal distribution from censored samples
    • Tiku, M. L. (1968a). "Estimating the parameters of log-normal distribution from censored samples," J. Amer. Stat. Assoc., 63, 134-140.
    • (1968) J. Amer. Stat. Assoc. , vol.63 , pp. 134-140
    • Tiku, M.L.1
  • 31
    • 0008524107 scopus 로고
    • Estimating the parameters of normal and logistic distributions from censored samples
    • Tiku, M. L. (1968b). "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
  • 32
    • 0008430586 scopus 로고
    • Monte Carlo study of some simple estimators in censored normal samples
    • Tiku, M. L. (1970). "Monte Carlo study of some simple estimators in censored normal samples," Biometrika, 57, 207-211.
    • (1970) Biometrika , vol.57 , pp. 207-211
    • Tiku, M.L.1
  • 33
    • 0008434379 scopus 로고
    • Robustness of MML estimators based on censored samples and robust test statistics
    • Tiku, M. L. (1980). "Robustness of MML estimators based on censored samples and robust test statistics," J. Stat. Plann. and Inf., 4, 123-143.
    • (1980) J. Stat. Plann. and Inf. , vol.4 , pp. 123-143
    • Tiku, M.L.1
  • 34
    • 0040471009 scopus 로고
    • Expected values and variances and covariances of order statistics for a family of symmetrical distributions (Student's t)
    • Providence, RI: American Mathematical Society
    • Tiku, M. L. and Kumar, S. (1981). "Expected values and variances and covariances of order statistics for a family of symmetrical distributions (Student's t)," Selected Tables in Mathematical Statistics 8, Providence, RI: American Mathematical Society, 141-270.
    • (1981) Selected Tables in Mathematical Statistics , vol.8 , pp. 141-270
    • Tiku, M.L.1    Kumar, S.2
  • 36
    • 38249014823 scopus 로고
    • A new method of estimation for location and scale parameters
    • Tiku, M L. and Suresh, R. P. (1992). "A new method of estimation for location and scale parameters," J. Plann. and Inf., 30, 281-292.
    • (1992) J. Plann. and Inf. , vol.30 , pp. 281-292
    • Tiku, M.L.1    Suresh, R.P.2
  • 37
    • 0031312333 scopus 로고    scopus 로고
    • Logistic and nonlogistic density functions in binary regression
    • Tiku, M. L. and Vaughan, D. C. (1997). "Logistic and nonlogistic density functions in binary regression," Biometrical J., 39, 883-898.
    • (1997) Biometrical J. , vol.39 , pp. 883-898
    • Tiku, M.L.1    Vaughan, D.C.2
  • 38
    • 0042222567 scopus 로고    scopus 로고
    • Testing for a unit root in an AR(1) model using three and four moment approximations: Symmetric distribution
    • Tiku, M. L. and Wong, W. K. (1998). "Testing for a unit root in an AR(1) model using three and four moment approximations: Symmetric distribution," Commun. Stat.-Simul., 27(1), 185-198.
    • (1998) Commun. Stat.-Simul. , vol.27 , Issue.1 , pp. 185-198
    • Tiku, M.L.1    Wong, W.K.2
  • 39
    • 26944443292 scopus 로고    scopus 로고
    • Time series models with symmetric innovations
    • submitted
    • Tiku, M. L., Wong, W. K. and Bian, G. (1997a). "Time series models with symmetric innovations," J. Time Series Analysis (submitted).
    • (1997) J. Time Series Analysis
    • Tiku, M.L.1    Wong, W.K.2    Bian, G.3
  • 40
    • 85034495369 scopus 로고    scopus 로고
    • Time series models with asymmetric innovations
    • to appear
    • Tiku, M. L., Wong, W. K. and Bian, G. (1997b). "Time series models with asymmetric innovations," Statistics (to appear).
    • (1997) Statistics
    • Tiku, M.L.1    Wong, W.K.2    Bian, G.3
  • 41
    • 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, 451-469.
    • (1992) Commun. Stat. Theory Meth. , vol.21 , pp. 451-469
    • Vaughan, D.C.1
  • 42
    • 0040471012 scopus 로고
    • Expected values, variances and covariances of order statistics for Student's t distribution with two degrees of freedom
    • Vaughan, D. C. (1992b). "Expected values, variances and covariances of order statistics 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
  • 43
    • 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
  • 44
    • 85034493623 scopus 로고    scopus 로고
    • Estimation and hypothesis testing for a non-normal bivariate distribution and applications
    • (J. Gani and G. Haynatzki, Eds.) to appear
    • Vaughan, D. C. and Tiku, M. L. (1998). "Estimation and hypothesis testing for a non-normal bivariate distribution and applications," J. Mathematical and Computer Modelling: Special Issue, (J. Gani and G. Haynatzki, Eds.) to appear.
    • (1998) J. Mathematical and Computer Modelling: Special Issue
    • Vaughan, D.C.1    Tiku, M.L.2
  • 45
    • 38249037952 scopus 로고
    • Reduced rank regression with autoregressive errors
    • Velu, R. and Gregory, C. (1987). "Reduced rank regression with autoregressive errors," Econometrics, 35, 317-335.
    • (1987) Econometrics , vol.35 , pp. 317-335
    • Velu, R.1    Gregory, C.2
  • 46
    • 38249019624 scopus 로고
    • Least absolute error estimation in the presence of serial correlation
    • Weiss, G. (1990). "Least absolute error estimation in the presence of serial correlation," J. of Econometrics, 44, 127-158.
    • (1990) J. of Econometrics , vol.44 , pp. 127-158
    • Weiss, G.1


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