메뉴 건너뛰기




Volumn 79, Issue 1-2, 2003, Pages 115-128

Estimation of Spectral Densities with Multiplicative Parameter

Author keywords

Asymptotic normality; Consistency; Minimum contrast estimators; The delta method

Indexed keywords

PARAMETER ESTIMATION; RANDOM PROCESSES; THEOREM PROVING;

EID: 0142157219     PISSN: 01678019     EISSN: None     Source Type: Journal    
DOI: 10.1023/A:1025895730348     Document Type: Conference Paper
Times cited : (2)

References (19)
  • 1
    • 0033175565 scopus 로고    scopus 로고
    • Possible long-range dependence in fractional random fields
    • Anh, V. V., Angulo, J. M. and Ruiz-Medina, M. D.: Possible long-range dependence in fractional random fields, J. Statist. Plann. Inference 80(1/2) (1999), 95-110.
    • (1999) J. Statist. Plann. Inference , vol.80 , Issue.1-2 , pp. 95-110
    • Anh, V.V.1    Angulo, J.M.2    Ruiz-Medina, M.D.3
  • 2
    • 0347035085 scopus 로고    scopus 로고
    • Models for fractional Riesz-Bessel motion and related processes
    • Anh, V. V., Leonenko, N. N. and McVinish, R.: Models for fractional Riesz-Bessel motion and related processes, Fractals 9(3) (2001), 329-346.
    • (2001) Fractals , vol.9 , Issue.3 , pp. 329-346
    • Anh, V.V.1    Leonenko, N.N.2    McVinish, R.3
  • 3
    • 0142140791 scopus 로고    scopus 로고
    • Semimartingale representation of fractional Riesz-Bessel motion
    • Anh, V. V. and Nguyen, C. N.: Semimartingale representation of fractional Riesz-Bessel motion, Finance and Stochastics 5 (2001), 83-101.
    • (2001) Finance and Stochastics , vol.5 , pp. 83-101
    • Anh, V.V.1    Nguyen, C.N.2
  • 4
    • 1642383980 scopus 로고    scopus 로고
    • On a class of minimum contrast estimators for fractional stochastic processes ans fields
    • in press
    • Anh, V. V., Leonenko, N. N. and Sakhno, L. M.: On a class of minimum contrast estimators for fractional stochastic processes ans fields, J. Statist. Plann. Inference (2003) (in press).
    • (2003) J. Statist. Plann. Inference
    • Anh, V.V.1    Leonenko, N.N.2    Sakhno, L.M.3
  • 7
    • 0142233518 scopus 로고
    • Asymptotic normality of an estimate of the spectral function
    • in Russian
    • Bentkus, R.: Asymptotic normality of an estimate of the spectral function, Litovsk. Mat. Sb. 12(3) (1972), 5-18 (in Russian).
    • (1972) Litovsk. Mat. Sb. , vol.12 , Issue.3 , pp. 5-18
    • Bentkus, R.1
  • 8
    • 0142233517 scopus 로고
    • Cumulants of estimates of the spectrum of a stationary sequence
    • Bentkus, R.: Cumulants of estimates of the spectrum of a stationary sequence, Liet. Mat. Rink. 16(4) (1976), 37-61.
    • (1976) Liet. Mat. Rink. , vol.16 , Issue.4 , pp. 37-61
    • Bentkus, R.1
  • 9
    • 0142202587 scopus 로고
    • The average of the estimates of the spectrum of a homogeneous field
    • Bentkus, R., Rudzkis, R. and Sušinskas, J.: The average of the estimates of the spectrum of a homogeneous field, Liet. Mat. Rink. 14(3) (1974), 67-74.
    • (1974) Liet. Mat. Rink. , vol.14 , Issue.3 , pp. 67-74
    • Bentkus, R.1    Rudzkis, R.2    Sušinskas, J.3
  • 10
    • 34250421659 scopus 로고
    • On the asymptotics of the first two moments of second-order spectral estimators
    • Bentkus, R. and Rutkauskas, R.: On the asymptotics of the first two moments of second-order spectral estimators, Litovsk. Mat. Sb. 13(1) (1973), 29-45.
    • (1973) Litovsk. Mat. Sb. , vol.13 , Issue.1 , pp. 29-45
    • Bentkus, R.1    Rutkauskas, R.2
  • 11
    • 0001092007 scopus 로고
    • Asymptotic theory of k-th order spectra
    • B. Harris (ed.), Wiley, New York
    • Brillinger, D. R. and Rosenblatt, M.: Asymptotic theory of k-th order spectra, In: B. Harris (ed.), Spectral Analysis of Time Series, Wiley, New York, 1967, pp. 153-188.
    • (1967) Spectral Analysis of Time Series , pp. 153-188
    • Brillinger, D.R.1    Rosenblatt, M.2
  • 12
    • 0008878384 scopus 로고    scopus 로고
    • Parameter estimation of stochastic processes with long-range dependence and intermittency
    • Gao, J., Ann, V. V., Heyde, C. C. and Tieng, Q.: Parameter estimation of stochastic processes with long-range dependence and intermittency, J. Time Series Anal. 22(5) (2001), 517-535.
    • (2001) J. Time Series Anal. , vol.22 , Issue.5 , pp. 517-535
    • Gao, J.1    Ann, V.V.2    Heyde, C.C.3    Tieng, Q.4
  • 14
    • 0008989391 scopus 로고
    • On maximum likelihood estimation of parameters of the spectral density of stationary time series
    • Ibragimov, I. A.: On maximum likelihood estimation of parameters of the spectral density of stationary time series, Theory Probab. Appl. 12(1) (1967), 115-119.
    • (1967) Theory Probab. Appl. , vol.12 , Issue.1 , pp. 115-119
    • Ibragimov, I.A.1
  • 16
    • 0142171498 scopus 로고    scopus 로고
    • Minimum contrast estimators of a parameter of the spectral density of continuous time random fields
    • Leonenko, N. N. and Moldavs'ka, E. M.: Minimum contrast estimators of a parameter of the spectral density of continuous time random fields, Theor. Probab. Math. Statist. 58 (1999), 101-112.
    • (1999) Theor. Probab. Math. Statist. , vol.58 , pp. 101-112
    • Leonenko, N.N.1    Moldavs'Ka, E.M.2
  • 17
    • 0000175641 scopus 로고
    • On a method of calculation of semi-invariants
    • Leonov, V. V. and Shiryaev, A. N.: On a method of calculation of semi-invariants, Theor. Probab. Appl. 4 (1959), 319-329.
    • (1959) Theor. Probab. Appl. , vol.4 , pp. 319-329
    • Leonov, V.V.1    Shiryaev, A.N.2
  • 18
    • 44049115266 scopus 로고
    • Model fitting for continuos-time stationary processes from discrete-time data
    • Lu, K.-S. and Masry, E.: Model fitting for continuos-time stationary processes from discrete-time data, J. Multivariate Anal. 41 (1992), 59-79.
    • (1992) J. Multivariate Anal. , vol.41 , pp. 59-79
    • Lu, K.-S.1    Masry, E.2


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.