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Volumn 10, Issue , 2005, Pages 1381-1397

A rate-optimal trigonometric series expansion of the fractional brownian motion

Author keywords

Fractional Brownian motion; Function series expansion; Gamma mixed Ornstein Uhlenbeck process; Rate of convergence

Indexed keywords


EID: 27844500053     PISSN: None     EISSN: 10836489     Source Type: Journal    
DOI: 10.1214/EJP.v10-287     Document Type: Article
Times cited : (14)

References (5)
  • 1
    • 4544283946 scopus 로고    scopus 로고
    • A series expansion of fractional Brownian motion
    • Math. Review
    • K. Dzhaparidze and H. van Zanten. A series expansion of fractional Brownian motion. Probab. Theory Relat. Fields 130 (2004), 39-55. Math. Review.
    • (2004) Probab. Theory Relat. Fields , vol.130 , pp. 39-55
    • Dzhaparidze, K.1    Van Zanten, H.2
  • 2
    • 14544268596 scopus 로고    scopus 로고
    • Optimality of an explicit series expansion of fractional Brownian sheet
    • Math. Review, 2002-15
    • K. Dzhaparidze and H. van Zanten. Optimality of an explicit series expansion of fractional Brownian sheet. Statistics and Probability Letters 71 (2005), 295-301. Math. Review. URL: http://www.math.vu.nl/stochastics/publications.php (2002-15).
    • (2005) Statistics and Probability Letters , vol.71 , pp. 295-301
    • Dzhaparidze, K.1    Van Zanten, H.2
  • 3
    • 0002119933 scopus 로고    scopus 로고
    • Long-range dependence through Gamma-mixed Ornstein-Uhlenbeck process
    • Math. Review
    • E. Igloi and G. Terdik. Long-range dependence through Gamma-mixed Ornstein-Uhlenbeck process. Electronic Journal of Probability (EJP) 4 (1999), 1-33. Math. Review.
    • (1999) Electronic Journal of Probability (EJP) , vol.4 , pp. 1-33
    • Igloi, E.1    Terdik, G.2
  • 4
    • 0141643497 scopus 로고    scopus 로고
    • Optimal series representation of fractional Brownian sheets
    • Math. Review
    • T. Kuhn and W. Linde. Optimal series representation of fractional Brownian sheets. Bernoulli 8 (2002), 669-696. Math. Review.
    • (2002) Bernoulli , vol.8 , pp. 669-696
    • Kuhn, T.1    Linde, W.2


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.