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Volumn 9, Issue 1, 1999, Pages 46-77

Bilinear stochastic systems with fractional Brownian motion input

Author keywords

Bilinear systems; Fractional brownian motion integrator; Long range dependence; Stratonovich solution, stationarity

Indexed keywords


EID: 0033471974     PISSN: 10505164     EISSN: None     Source Type: Journal    
DOI: 10.1214/aoap/1029962597     Document Type: Article
Times cited : (19)

References (10)
  • 2
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    • Gaussian and their subordinated generalized fields
    • DOBRUSHIN, R. L. (1979). Gaussian and their subordinated generalized fields. Ann. Probab. 7 1-28.
    • (1979) Ann. Probab. , vol.7 , pp. 1-28
    • Dobrushin, R.L.1
  • 4
    • 84959238860 scopus 로고
    • Multiple Wiener-Itô integrals
    • Springer, New York
    • MAJOR, P. (1981). Multiple Wiener-Itô Integrals. Lecture Notes in Math. 849. Springer, New York.
    • (1981) Lecture Notes in Math. , vol.849
    • Major, P.1
  • 5
    • 0000501589 scopus 로고
    • Fractional Brownian motions, fractional noises and applications
    • MANDELBROT, B. B. and VAN NESS, J. W. (1968). Fractional Brownian motions, fractional noises and applications. SIAM Rev. 10 422-437.
    • (1968) SIAM Rev. , vol.10 , pp. 422-437
    • Mandelbrot, B.B.1    Van Ness, J.W.2
  • 7
    • 0002650549 scopus 로고
    • Linear models with long range dependence and finite or infinite variance
    • (D. Brillinger, P. Caines, J. Geweke, E. Parzen, M. Rosenblatt and M. S. Taqqu, eds.) Springer, New York
    • SAMORODNITSKY, G. and TAQQU, M. S. (1992). Linear models with long range dependence and finite or infinite variance. In New Directions in Time Series Analysis II (D. Brillinger, P. Caines, J. Geweke, E. Parzen, M. Rosenblatt and M. S. Taqqu, eds.) 325-340. Springer, New York.
    • (1992) New Directions in Time Series Analysis II , vol.2 , pp. 325-340
    • Samorodnitsky, G.1    Taqqu, M.S.2
  • 8
    • 0001915941 scopus 로고
    • Convergence of integrated processes of arbitrary Hermite rank
    • TAQQU, M. S. (1979). Convergence of integrated processes of arbitrary Hermite rank. Z. Wahrsch. Verw. Gebiete 50 53-83.
    • (1979) Z. Wahrsch. Verw. Gebiete , vol.50 , pp. 53-83
    • Taqqu, M.S.1
  • 9
    • 0000889178 scopus 로고
    • A bibliographical guide to self-similar processes and long range dependence
    • (E. Eberlein and M. S. Taqqu, eds.) Birkhäuser, Boston
    • TAQQU, M. S. (1968). A bibliographical guide to self-similar processes and long range dependence. In Dependence in Probability and Statistics (E. Eberlein and M. S. Taqqu, eds.) 137-165. Birkhäuser, Boston.
    • (1968) Dependence in Probability and Statistics , pp. 137-165
    • Taqqu, M.S.1
  • 10
    • 0041187183 scopus 로고
    • Stationary solutions for bilinear systems with constant coefficients
    • (E. Çinlar, K. L. Chung and R. K. Getoor, eds.) Birkhäuser, Boston
    • TERDIK, GY. (1990). Stationary solutions for bilinear systems with constant coefficients. In Seminar on Stochastic Processes 1989 (E. Çinlar, K. L. Chung and R. K. Getoor, eds.) 196-206. Birkhäuser, Boston.
    • (1990) Seminar on Stochastic Processes 1989 , pp. 196-206
    • Terdik, Gy.1


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.