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Volumn 21, Issue 5, 2000, Pages 571-596

Time series models in non-normal situations: Symmetric innovations

Author keywords

Hypothesis testing; Modified likelihood; Non normality; Power function; Robustness; Student's t; Time series

Indexed keywords


EID: 0001759220     PISSN: 01439782     EISSN: None     Source Type: Journal    
DOI: 10.1111/1467-9892.00199     Document Type: Article
Times cited : (110)

References (53)
  • 1
    • 0013914157 scopus 로고
    • Evaluation of the maximum likelihood estimator when the likelihood equation has multiple roots
    • BARNETT, V. D. (1966) Evaluation of the maximum likelihood estimator when the likelihood equation has multiple roots. Biometrika 53, 151-65.
    • (1966) Biometrika , vol.53 , pp. 151-165
    • Barnett, V.D.1
  • 2
    • 0013197616 scopus 로고    scopus 로고
    • Robustness of the autoregressive spectral estimate for linear process with infinite variance
    • BHANSALI, R. J. (1997) Robustness of the autoregressive spectral estimate for linear process with infinite variance. J. Time Series Analysis 18, 213-29.
    • (1997) J. Time Series Analysis , vol.18 , pp. 213-229
    • Bhansali, R.J.1
  • 3
    • 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
  • 4
    • 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. (1997) Bayesian inference based on robust priors and MML estimators: Part I, symmetric location-scale distributions. Statistics 29, 317-45.
    • (1997) Statistics , vol.29 , pp. 317-345
    • Bian, G.1    Tiku, M.L.2
  • 5
    • 0000699975 scopus 로고
    • A comparison of stable and Student distribution as statistical models for stock prices
    • BLATTBERG, R. C. and GONEDES, N. J. (1974) A comparison of stable and Student distribution as statistical models for stock prices. Journal of Business 47, 244-80.
    • (1974) Journal of Business , vol.47 , pp. 244-280
    • Blattberg, R.C.1    Gonedes, N.J.2
  • 6
    • 0000346734 scopus 로고
    • A subordinated stochastic process model with finite variance for speculative prices
    • CLARK, P. K. (1973) A subordinated stochastic process model with finite variance for speculative prices. Econometrica 37, 135-55.
    • (1973) Econometrica , vol.37 , pp. 135-155
    • Clark, P.K.1
  • 7
    • 0012452443 scopus 로고
    • Modified moment and maximum likelihood estimators for parameters of the three-parameter Gamma distribution
    • COHEN, A. C. and WHITTEN, B. J. (1982) Modified moment and maximum likelihood estimators for parameters of the three-parameter Gamma distribution. Commun. Statist. Simul. and Comp. 11, 197-216.
    • (1982) Commun. Statist. Simul. and Comp. , vol.11 , pp. 197-216
    • Cohen, A.C.1    Whitten, B.J.2
  • 8
    • 0039286161 scopus 로고
    • ARMA models with double-exponential distributed noise
    • DAMSLETH, E. and EL-SHAARAWI, A. H. (1989) ARMA models with double-exponential distributed noise. J. R. Statist. Soc. B, 61-9.
    • (1989) J. R. Statist. Soc. B , pp. 61-69
    • Damsleth, E.1    El-Shaarawi, A.H.2
  • 9
    • 0000074862 scopus 로고
    • Limit theory for the sample covariance and correlation functions of moving averages
    • DAVIS, R. and RENSICK, S. (1986) Limit theory for the sample covariance and correlation functions of moving averages. Annals of Statistics 14, 533-58.
    • (1986) Annals of Statistics , vol.14 , pp. 533-558
    • Davis, R.1    Rensick, S.2
  • 10
    • 0000094018 scopus 로고    scopus 로고
    • Monte Carlo maximum likelihood for non-Gaussian state space models
    • DURBIN, J. and KOOPMAN, S. J. (1997) Monte Carlo maximum likelihood for non-Gaussian state space models. Biometrika 84, 669-84.
    • (1997) Biometrika , vol.84 , pp. 669-684
    • Durbin, J.1    Koopman, S.J.2
  • 11
    • 0001652452 scopus 로고
    • Mandelbrot and the Stable Paretian hypothesis
    • FAMA, E. F. (1963) Mandelbrot and the Stable Paretian hypothesis. Journal of Business 36, 420-9.
    • (1963) Journal of Business , vol.36 , pp. 420-429
    • Fama, E.F.1
  • 12
    • 0002528209 scopus 로고
    • The behaviour of stock market prices
    • _ (1965a) The behaviour of stock market prices. Journal of Business 38, 34-105.
    • (1965) Journal of Business , vol.38 , pp. 34-105
  • 13
    • 0001390701 scopus 로고
    • Portfolio analysis in a stable Paretian market
    • _ (1965b) Portfolio analysis in a stable Paretian market. Management Science 11, 401-19.
    • (1965) Management Science , vol.11 , pp. 401-419
  • 14
    • 0001982339 scopus 로고
    • Stable distributions and mixtures of distributions hypotheses for common stock return
    • FIELITZ, B. D. and ROZELLE, J. P. (1983) Stable distributions and mixtures of distributions hypotheses for common stock return. Journal of American Statistical Association 78, 28-36.
    • (1983) Journal of American Statistical Association , vol.78 , pp. 28-36
    • Fielitz, B.D.1    Rozelle, J.P.2
  • 15
    • 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
  • 16
    • 38249002579 scopus 로고
    • International asset pricing with alternative distributional specifications
    • HARVEY, M. C. and ZHOU, G. (1993) International asset pricing with alternative distributional specifications. Journal of Empirical Finance 1, 107-31.
    • (1993) Journal of Empirical Finance , vol.1 , pp. 107-131
    • Harvey, M.C.1    Zhou, G.2
  • 18
    • 0005986706 scopus 로고
    • Consistent estimates for the NEAR(2) and NLAR(2) time series models
    • KARLSEN, H. and TJØSTHEIM. D. (1988) Consistent estimates for the NEAR(2) and NLAR(2) time series models. J. R. Statist. Soc. B, 313-20.
    • (1988) J. R. Statist. Soc. B , pp. 313-320
    • Karlsen, H.1    TjØstheim, D.2
  • 20
    • 84950459387 scopus 로고
    • Non-Gaussian state-space modelling of nonstationary time series (with discussion)
    • KITAGAWA, G. (1987) Non-Gaussian state-space modelling of nonstationary time series (with discussion). J. Am. Statist. Assoc. 82, 1032-63.
    • (1987) J. Am. Statist. Assoc. , vol.82 , pp. 1032-1063
    • Kitagawa, G.1
  • 21
    • 84944833166 scopus 로고
    • Models of stock returns - A comparison
    • KON, S. J. (1984) Models of stock returns - a comparison. Journal of Finance 39, 147-65.
    • (1984) Journal of Finance , vol.39 , pp. 147-165
    • Kon, S.J.1
  • 22
    • 0000845522 scopus 로고
    • Modelling and residual analysis of nonlinear autoregressive time series in exponential variables
    • LAWRANCE, A. J. and LEWIS, P. A. W. (1985) Modelling and residual analysis of nonlinear autoregressive time series in exponential variables (with discussion). J. R. Statist. Soc. B, 165-202.
    • (1985) J. R. Statist. Soc. B , pp. 165-202
    • Lawrance, A.J.1    Lewis, P.A.W.2
  • 23
    • 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
  • 24
    • 70350324901 scopus 로고
    • Robustness in time series and estimating ARMA models
    • (ed. E. J. Hannon). Amsterdam: North Holland
    • MARTIN, R. D. and YOHAI, V. J. (1985) Robustness in time series and estimating ARMA models. In Handbook of Statistics 5 (ed. E. J. Hannon). Amsterdam: North Holland, pp. 119-55.
    • (1985) Handbook of Statistics , vol.5 , pp. 119-155
    • Martin, R.D.1    Yohai, V.J.2
  • 26
    • 0002287697 scopus 로고
    • Generalized non-normal time series models
    • (ed. O. D. Anderson). Amsterdam: North Holland
    • RAFTERY, A. E. (1982) Generalized non-normal time series models. In Time Series Analysis: Theory and Practice 1 (ed. O. D. Anderson). Amsterdam: North Holland, pp. 621-40.
    • (1982) Time Series Analysis: Theory and Practice , vol.1 , pp. 621-640
    • Raftery, A.E.1
  • 28
    • 84979404895 scopus 로고
    • Modelling non-normal first-order autoregressive time series
    • SIM, C. H. (1994) Modelling non-normal first-order autoregressive time series. J. Forecasting 13, 369-81.
    • (1994) J. Forecasting , vol.13 , pp. 369-381
    • Sim, C.H.1
  • 29
    • 0005909064 scopus 로고
    • Maximum likelihood estimation for the NEAR(2) model
    • SMITH, R. L. (1986) Maximum likelihood estimation for the NEAR(2) model. J. R. Statist. Soc. A. 251-7.
    • (1986) J. R. Statist. Soc. A. , pp. 251-257
    • Smith, R.L.1
  • 30
    • 0002009203 scopus 로고
    • Three parameter lognormal estimation from censored samples
    • SMITH, W. B., ZEIS, C. D. and SYLER, G. W. (1973) Three parameter lognormal estimation from censored samples. J. Indian Stat. Assoc. 11, 15-31.
    • (1973) J. Indian Stat. Assoc. , vol.11 , pp. 15-31
    • Smith, W.B.1    Zeis, C.D.2    Syler, G.W.3
  • 31
    • 0041065106 scopus 로고
    • Modelling and forecasting time series with a general non-normal distribution
    • SWIFT, A. L. (1995) Modelling and forecasting time series with a general non-normal distribution. J. Forecasting 14, 45-66.
    • (1995) J. Forecasting , vol.14 , pp. 45-66
    • Swift, A.L.1
  • 32
    • 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, 329-40.
    • (1985) J. Statist. Plann. and Inf. , vol.11 , pp. 329-340
    • Tan, W.Y.1
  • 33
    • 0039286160 scopus 로고
    • Some robust procedures for estimating parameters in an autoregressive model
    • _ and LIN, V. (1993) Some robust procedures for estimating parameters in an autoregressive model. Sankhya B 55, 415-35.
    • (1993) Sankhya B , vol.55 , pp. 415-435
    • Lin, V.1
  • 34
    • 0013832326 scopus 로고
    • Laguerre series forms of noncentral chi-square and F distributions
    • TIKU, M. L. (1965) Laguerre series forms of noncentral chi-square and F distributions. Biometrika 52, 415-27.
    • (1965) Biometrika , vol.52 , pp. 415-427
    • Tiku, M.L.1
  • 35
    • 0014098340 scopus 로고
    • Estimating the mean and standard deviation from a censored normal sample
    • _ (1967) Estimating the mean and standard deviation from a censored normal sample. Biometrika 54, 155-65.
    • (1967) Biometrika , vol.54 , pp. 155-165
  • 36
    • 0009956443 scopus 로고
    • Estimating the parameters of log-normal distribution from censored samples
    • _ (1968a) Estimating the parameters of log-normal distribution from censored samples. J. Amer. Stat. Assoc. 63, 134-40.
    • (1968) J. Amer. Stat. Assoc. , vol.63 , pp. 134-140
  • 37
    • 0008524107 scopus 로고
    • Estimating the parameters of normal and logistic distributions from censored samples
    • _ (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
  • 38
    • 0008430586 scopus 로고
    • Monte Carlo study of some simple estimators in censored normal samples
    • _ (1970) Monte Carlo study of some simple estimators in censored normal samples. Biometrika 57, 207-11.
    • (1970) Biometrika , vol.57 , pp. 207-211
  • 39
    • 0008434379 scopus 로고
    • Robustness of MML estimators based on censored samples and robust test statistics
    • _ (1980) Robustness of MML estimators based on censored samples and robust test statistics. J. Stat. Plann. and Inf. 4, 123-43.
    • (1980) J. Stat. Plann. and Inf. , vol.4 , pp. 123-143
  • 40
    • 0013359663 scopus 로고
    • Noncentral chi-square distribution
    • (eds N. L. Johnson and S. Kotz)
    • _ (1985) Noncentral chi-square distribution. In Encyclopedia of Statistical Sciences, Vol. 6, (eds N. L. Johnson and S. Kotz), 276-80.
    • (1985) Encyclopedia of Statistical Sciences , vol.6 , pp. 276-280
  • 41
    • 0041026632 scopus 로고
    • Best linear unbiased estimators for a distribution similar to the logisitic
    • (ed. C. S. Carter)
    • _ and JONES, P. W. (1971) Best linear unbiased estimators for a distribution similar to the logisitic. In Proceedings "Statistics 71 Canada" (ed. C. S. Carter), pp. 412-19.
    • (1971) Proceedings "Statistics 71 Canada" , pp. 412-419
    • Jones, P.W.1
  • 42
    • 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
    • _ and KUMRA, S. (1981) Expected values and variances and covariances of order statistics for a family of symmetrical distributions (Student's t). In Selected Tables in Mathematical Statistics 8. Providence, RI: American Mathematical Society, pp. 141-270.
    • (1981) Selected Tables in Mathematical Statistics , vol.8 , pp. 141-270
    • Kumra, S.1
  • 43
    • 38249014823 scopus 로고
    • A new method of estimation for location and scale parameters
    • _ and SURESH, R. P. (1992) A new method of estimation for location and scale parameters. J. Stat. Plann. and Inf. 30, 281-92.
    • (1992) J. Stat. Plann. and Inf. , vol.30 , pp. 281-292
    • Suresh, R.P.1
  • 44
    • 0031312333 scopus 로고    scopus 로고
    • Logistic and nonlogistic density functions in binary regression
    • _ and VAUGHAN, D. C. (1997) Logistic and nonlogistic density functions in binary regression. Biometrical J. 39, 883-98.
    • (1997) Biometrical J. , vol.39 , pp. 883-898
    • Vaughan, D.C.1
  • 46
    • 0041065109 scopus 로고    scopus 로고
    • Time series models with asymmetric innovations
    • _, WONG, W. K. and BIAN, G. (1999) Time series models with asymmetric innovations. Commun. Stat. - Theory Meth. 28, 1331-60.
    • (1999) Commun. Stat. - Theory Meth. , vol.28 , pp. 1331-1360
    • Wong, W.K.1    Bian, G.2
  • 47
    • 0003349139 scopus 로고
    • Price and volume in the Tokyo stock exchange: An exploratory study
    • (W. T. Ziemba, W. Bailey and Y. Hamano, eds), New York: Elsevier Science Publishers B. V
    • TSE, Y. K. (1991) Price and volume in the Tokyo stock exchange: an exploratory study. In Japanese Financial Market Research (W. T. Ziemba, W. Bailey and Y. Hamano, eds), New York: Elsevier Science Publishers B. V., pp. 91-119.
    • (1991) Japanese Financial Market Research , pp. 91-119
    • Tse, Y.K.1
  • 48
    • 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
  • 49
    • 0040471012 scopus 로고
    • Expected values, variances and covariances of order statistics for Student's t distribution with two degrees of freedom
    • _ (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
  • 50
    • 84973004929 scopus 로고
    • The exact values of the expected values, variances and covariances of the order statistics from the Cauchy distribution
    • _ (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
  • 52
    • 0034234118 scopus 로고    scopus 로고
    • Estimation and hypothesis testing for a non-normal bivariate distribution and applications
    • (eds J. Gani and G. Hynatzki) to appear
    • _ (2000) Estimation and hypothesis testing for a non-normal bivariate distribution and applications. J. Mathematical and Computer Modelling. Special Issue, (eds J. Gani and G. Hynatzki) to appear.
    • (2000) J. Mathematical and Computer Modelling
  • 53
    • 0030517967 scopus 로고    scopus 로고
    • Exact moments for autoregressive and random walk models for a zero or stationary initial value
    • VINOD, H. D. and SHENTON, L. R. (1996) Exact moments for autoregressive and random walk models for a zero or stationary initial value. Econometric Theory 12, 481-99.
    • (1996) Econometric Theory , vol.12 , pp. 481-499
    • Vinod, H.D.1    Shenton, L.R.2


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