메뉴 건너뛰기




Volumn 29, Issue 10-12, 1999, Pages 203-215

Discrete time parametric models with long memory and infinite variance

Author keywords

Heavy tails; Moving averages; Stable processes; Whittle estimator

Indexed keywords


EID: 0033133978     PISSN: 08957177     EISSN: None     Source Type: Journal    
DOI: 10.1016/S0895-7177(99)00103-X     Document Type: Article
Times cited : (7)

References (31)
  • 1
    • 0001293924 scopus 로고
    • Stable Paretian random functions and the multiplicative variation of income
    • 1. B.B. Mandelbrot, Stable Paretian random functions and the multiplicative variation of income, Econometrica 29, 517-543, (1961).
    • (1961) Econometrica , vol.29 , pp. 517-543
    • Mandelbrot, B.B.1
  • 2
    • 0001652452 scopus 로고
    • Mandelbrot and the stable Paretian hypothesis
    • 2. E. Fama, Mandelbrot and the stable Paretian hypothesis, Journal of Business 36, 420-429, (1963); Reprinted in The Random Character of Stock Market Prices, (Edited by P. Cootner), MIT Press, pp. 297-306, (1964).
    • (1963) Journal of Business , vol.36 , pp. 420-429
    • Fama, E.1
  • 3
    • 0003610225 scopus 로고
    • MIT Press
    • 2. E. Fama, Mandelbrot and the stable Paretian hypothesis, Journal of Business 36, 420-429, (1963); Reprinted in The Random Character of Stock Market Prices, (Edited by P. Cootner), MIT Press, pp. 297-306, (1964).
    • (1964) The Random Character of Stock Market Prices , pp. 297-306
    • Cootner, P.1
  • 4
    • 0002528209 scopus 로고
    • The behavior of stock market prices
    • 3. E. Fama, The behavior of stock market prices, Journal of Business 38, 34-105, (1965).
    • (1965) Journal of Business , vol.38 , pp. 34-105
    • Fama, E.1
  • 6
    • 0001706645 scopus 로고
    • Option pricing formulae for speculative prices modelled by subordinated stochastic processes
    • 5. S.T. Rachev and G. Samorodnitsky, Option pricing formulae for speculative prices modelled by subordinated stochastic processes, Serdica 19, 175-190, (1993).
    • (1993) Serdica , vol.19 , pp. 175-190
    • Rachev, S.T.1    Samorodnitsky, G.2
  • 7
    • 38249026114 scopus 로고
    • Stable distributions for asset returns
    • 6. S. Mittnik and S.T. Rachev, Stable distributions for asset returns, Appl. Math. Lett. 2 (3), 301-304, (1989).
    • (1989) Appl. Math. Lett. , vol.2 , Issue.3 , pp. 301-304
    • Mittnik, S.1    Rachev, S.T.2
  • 8
    • 0001844051 scopus 로고
    • Alternative multivariate stable distributions and their applications to financial modeling
    • (Edited by S. Cambanis, G. Samorodnitsky and M.S. Taqqu), Volume 25 of Progress in Probability, Birkhäuser, Boston, MA
    • 7. S. Mittnik and S.T. Rachev, Alternative multivariate stable distributions and their applications to financial modeling, In Stable Processes and Related Topics, (Edited by S. Cambanis, G. Samorodnitsky and M.S. Taqqu), Volume 25 of Progress in Probability, pp. 107-119, Birkhäuser, Boston, MA, (1991).
    • (1991) Stable Processes and Related Topics , pp. 107-119
    • Mittnik, S.1    Rachev, S.T.2
  • 9
    • 84958363567 scopus 로고
    • Modeling asset returns with alternative stable distributions
    • 8. S. Mittnik and S.T. Rachev, Modeling asset returns with alternative stable distributions, Econometric Review 12, 261-330, (1993).
    • (1993) Econometric Review , vol.12 , pp. 261-330
    • Mittnik, S.1    Rachev, S.T.2
  • 11
    • 0004329796 scopus 로고    scopus 로고
    • Springer-Verlag
    • 9. G. Samorodnitsky, A class of shot noise models for financial applications, In Proceedings of the Athens Conference on Applied Probability and Time Series, Volume 1: Applied Probability in Memory of J.M. Gani, (Edited by R. Pyke, C.C. Heyde, Yu.V. Prohorob and S.T. Rachev); Lecture Notes in Statistics, Volume 114, pp. 332-353, Springer-Verlag, (1996).
    • (1996) Lecture Notes in Statistics , vol.114 , pp. 332-353
  • 12
    • 70350656348 scopus 로고    scopus 로고
    • Financial applications of stable distributions
    • (Edited by G.S. Maddala and C.R. Rao), Volume 14 of Handbook of Statistics, Elsevier Science, Amsterdam
    • 10. J.H. McCulloch, Financial applications of stable distributions, In Statistical Methods in Finance, (Edited by G.S. Maddala and C.R. Rao), Volume 14 of Handbook of Statistics, pp. 393-425, Elsevier Science, Amsterdam, (1996).
    • (1996) Statistical Methods in Finance , pp. 393-425
    • McCulloch, J.H.1
  • 16
    • 0001929163 scopus 로고    scopus 로고
    • Infinite variance stable moving averages with long memory
    • 14. P.S. Kokoszka and M.S. Taqqu, Infinite variance stable moving averages with long memory, Journal of Econometrics 73, 79-99, (1996).
    • (1996) Journal of Econometrics , vol.73 , pp. 79-99
    • Kokoszka, P.S.1    Taqqu, M.S.2
  • 17
    • 0002637822 scopus 로고    scopus 로고
    • Prediction of infinite variance fractional ARIMA
    • 15. P.S. Kokoszka, Prediction of infinite variance fractional ARIMA, Probability and Mathematical Statistics 16 (1), 65-83, (1996).
    • (1996) Probability and Mathematical Statistics , vol.16 , Issue.1 , pp. 65-83
    • Kokoszka, P.S.1
  • 20
    • 0004186403 scopus 로고
    • Addison-Wesley, Reading, MA
    • 18. H. Helson, Harmonic Analysis, Addison-Wesley, Reading, MA, (1983).
    • (1983) Harmonic Analysis
    • Helson, H.1
  • 22
    • 0000302722 scopus 로고
    • The asymptotic theory of linear time series models
    • 20. E.J. Hannan, The asymptotic theory of linear time series models, Journal of Applied Probability 10, 130-145, (1973).
    • (1973) Journal of Applied Probability , vol.10 , pp. 130-145
    • Hannan, E.J.1
  • 23
    • 0002188727 scopus 로고
    • Large-sample properties of parameter estimates for strongly dependent stationary Gaussian time series
    • 21. R. Fox and M.S. Taqqu, Large-sample properties of parameter estimates for strongly dependent stationary Gaussian time series, The Annals of Statistics 14, 517-532, (1986).
    • (1986) The Annals of Statistics , vol.14 , pp. 517-532
    • Fox, R.1    Taqqu, M.S.2
  • 24
    • 21844492815 scopus 로고
    • Parameter estimation for ARMA models with infinite variance innovations
    • 22. T. Mikosch, T. Gadrich, C. Klüppelberg and R.J. Adler, Parameter estimation for ARMA models with infinite variance innovations, The Annals of Statistics 23, 305-326, (1995).
    • (1995) The Annals of Statistics , vol.23 , pp. 305-326
    • Mikosch, T.1    Gadrich, T.2    Klüppelberg, C.3    Adler, R.J.4
  • 25
    • 0030359440 scopus 로고    scopus 로고
    • Parameter estimation for infinite variance fractional ARIMA
    • 23. P.S. Kokoszka and M.S. Taqqu, Parameter estimation for infinite variance fractional ARIMA, The Annals of Statistics 24, 1880-1913, (1996).
    • (1996) The Annals of Statistics , vol.24 , pp. 1880-1913
    • Kokoszka, P.S.1    Taqqu, M.S.2
  • 29
    • 0002587835 scopus 로고
    • Weak convergence of moving averages with infinite variance
    • (Edited by E. Eberlein and M.S. Taqqu), Birkhauser, Boston
    • 27. F. Avram and M.S. Taqqu, Weak convergence of moving averages with infinite variance, In Dependence in Probability and Statistics, (Edited by E. Eberlein and M.S. Taqqu), pp. 399-415, Birkhauser, Boston, (1986).
    • (1986) Dependence in Probability and Statistics , pp. 399-415
    • Avram, F.1    Taqqu, M.S.2
  • 30
    • 0001568756 scopus 로고
    • Limit theory for moving averages of random variables with regularly varying tail probabilities
    • 28. R.A. Davis and S.I. Resnick, Limit theory for moving averages of random variables with regularly varying tail probabilities, The Annals of Probability 13 (1), 179-195, (1985).
    • (1985) The Annals of Probability , vol.13 , Issue.1 , pp. 179-195
    • Davis, R.A.1    Resnick, S.I.2
  • 31
    • 84953751498 scopus 로고
    • Cambridge University Press, Cambridge, MA
    • 29. A. Zygmund, Trigonometric Series, Volumes I, II, Cambridge University Press, Cambridge, MA, (1979).
    • (1979) Trigonometric Series , vol.1-2
    • Zygmund, A.1


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.