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Volumn 8, Issue 2, 2002, Pages 187-203

Multiple stochastic fractional integrals: A transfer principle for multiple stochastic fractional integrals

Author keywords

Chaos decomposition; Fractional Brownian motion; Multiple fractional integrals

Indexed keywords


EID: 17744421409     PISSN: 1405213X     EISSN: None     Source Type: Journal    
DOI: None     Document Type: Article
Times cited : (25)

References (30)
  • 1
    • 0035537291 scopus 로고    scopus 로고
    • Stochastic calculus with respect to Gaussian processes
    • E. ALÓS, O. MAZET AND D. NUALART, Stochastic calculus with respect to Gaussian processes, Ann. Probab. 29 (2) (2001), 766-801.
    • (2001) Ann. Probab. , vol.29 , Issue.2 , pp. 766-801
    • Alós, E.1    Mazet, O.2    Nualart, D.3
  • 2
    • 0024078858 scopus 로고
    • Signal detection in fractional Gaussian noise
    • R. J. BARTON AND H. VINCENR POOR, Signal detection in fractional Gaussian noise, IEEE Trans. Inf. Theory 34 (5) (1988), 943-959.
    • (1988) IEEE Trans. Inf. Theory , vol.34 , Issue.5 , pp. 943-959
    • Barton, R.J.1    Vincenr Poor, H.2
  • 3
    • 21844491064 scopus 로고
    • Linear stochastic differential equations and Wick products
    • R. BUCKDAHN AND D. NUALART, Linear stochastic differential equations and Wick products, Prob. Theory Related Fields, 99 (1994), 501-526.
    • (1994) Prob. Theory Related Fields , vol.99 , pp. 501-526
    • Buckdahn, R.1    Nualart, D.2
  • 5
    • 0033274590 scopus 로고    scopus 로고
    • Chaos decomposition of multiple fractional integrals and applications
    • A. DASGUPTA AND G. KALLIANPUR, Chaos decomposition of multiple fractional integrals and applications, Prob. Theory Related Fields, 115 (1999), 527-548.
    • (1999) Prob. Theory Related Fields , vol.115 , pp. 527-548
    • Dasgupta, A.1    Kallianpur, G.2
  • 6
    • 0010535277 scopus 로고    scopus 로고
    • A Skorohod-Stratonovitch integral for the fractional Brownian motion
    • Birkhauser
    • L. DECREUSEFOND, A Skorohod-Stratonovitch integral for the fractional Brownian motion, Progress in Probability, 177-199. Birkhauser, 2000.
    • (2000) Progress in Probability , pp. 177-199
    • Decreusefond, L.1
  • 7
    • 0042637937 scopus 로고    scopus 로고
    • Stochastic analysis with respect to fractional Brownian motion
    • L. DECREUSEFOND AND A. S. USTUNEL, Stochastic Analysis with respect to fractional Brownian motion, Potential Anal. 10 (2) (1999), 177-214.
    • (1999) Potential Anal. , vol.10 , Issue.2 , pp. 177-214
    • Decreusefond, L.1    Ustunel, A.S.2
  • 8
    • 0033878593 scopus 로고    scopus 로고
    • Stochastic calculus for fractional Brownian motion I. Theory
    • T. DUNCAN, Y. HU AND B. PASIK-DUNCAN, Stochastic calculus for fractional Brownian motion I. Theory, SIAM J. Control Optim. 38 (2) (2000), 582-612.
    • (2000) SIAM J. Control Optim. , vol.38 , Issue.2 , pp. 582-612
    • Duncan, T.1    Hu, Y.2    Pasik-Duncan, B.3
  • 10
    • 0038771393 scopus 로고
    • A new limit theorem for stochastic processes with Gaussian increments
    • E. G. GLADYSHEV, A new limit theorem for stochastic processes with Gaussian increments, Theory Probab. Appl. 6 (1961), 52-61.
    • (1961) Theory Probab. Appl. , vol.6 , pp. 52-61
    • Gladyshev, E.G.1
  • 11
    • 0030502739 scopus 로고    scopus 로고
    • On the prediction of fractional Brownian motion
    • G. GRIPENBERG AND I. NORROS, On the prediction of fractional Brownian motion, J. Appl. Probab. 33 (1996), 400-410.
    • (1996) J. Appl. Probab. , vol.33 , pp. 400-410
    • Gripenberg, G.1    Norros, I.2
  • 14
    • 0038135003 scopus 로고
    • Stochastic and multiple Wiener integrals for Gaussian processes
    • S.T. HUANG AND S. CAMBANIS, Stochastic and multiple Wiener integrals for Gaussian processes, Ann. Probab. 6 (1978), 585-614.
    • (1978) Ann. Probab. , vol.6 , pp. 585-614
    • Huang, S.T.1    Cambanis, S.2
  • 15
    • 84972503912 scopus 로고
    • Multiple Wiener integral
    • K. ITO, Multiple Wiener integral, J. Math. Soc. Japan 3 (1951), 157-169.
    • (1951) J. Math. Soc. Japan , vol.3 , pp. 157-169
    • Ito, K.1
  • 16
    • 84966217285 scopus 로고
    • Homogeneous chaos, p-forms, scaling and the Feynman integral
    • G.W. JOHNSON AND G. KALLIANPUR, Homogeneous chaos, p-forms, scaling and the Feynman integral, Trans. Amer. Math. Soc. 340 (1993), 503-548.
    • (1993) Trans. Amer. Math. Soc. , vol.340 , pp. 503-548
    • Johnson, G.W.1    Kallianpur, G.2
  • 17
    • 0038771382 scopus 로고
    • On an independence criterion for multiple Wiener integrals
    • O. KALLENBERG, On an independence criterion for multiple Wiener integrals, Ann. Probab. 19 (1991), 483-485.
    • (1991) Ann. Probab. , vol.19 , pp. 483-485
    • Kallenberg, O.1
  • 18
    • 0012545459 scopus 로고    scopus 로고
    • Parameter estimation and optimal filtering for fractional type stochastic systems
    • M. L. KLEPTSYNA, A. LE BRETON AND M. C. ROUBAUD, Parameter estimation and optimal filtering for fractional type stochastic systems, Stat. Inference Stoch. Process, 3 (1-2) (2000), 173-182.
    • (2000) Stat. Inference Stoch. Process , vol.3 , Issue.1-2 , pp. 173-182
    • Kleptsyna, M.L.1    Le Breton, A.2    Roubaud, M.C.3
  • 19
    • 0038771389 scopus 로고
    • A note on large deviations for Wiener chaos
    • Séminaire de Probabilités XXTV. Springer-Verlag, New York
    • M. LEDOUX, A note on large deviations for Wiener chaos, In: Séminaire de Probabilités XXTV. Springer-Verlag, New York. L.N. Math., 1426 (1990), 1-14.
    • (1990) L.N. Math. , vol.1426 , pp. 1-14
    • Ledoux, M.1
  • 20
    • 85041875461 scopus 로고
    • A Fubini theorem for multiple stochastic integrals with respect to semimartingales
    • III Simposio de Probabilidad y Procesos Estocásticos
    • J. LEÓN, J.R. CHAVEZ AND C. TUDOR, A Fubini theorem for multiple stochastic integrals with respect to semimartingales, Aportaciones Mat. Ser. Investigation 11, III Simposio de Probabilidad y Procesos Estocásticos (1994), 107-115.
    • (1994) Aportaciones Mat. Ser. Investigation , vol.11 , pp. 107-115
    • León, J.1    Chavez, J.R.2    Tudor, C.3
  • 21
    • 0002423478 scopus 로고
    • Large deviations for multiple Wiener-Itô integral processes
    • Séminaire de Probabilités XXVI. Springer-Verlag, New York
    • E. MAYER-WOLF, D. NUALART AND V. PÉREZ-ABREU, Large deviations for multiple Wiener-Itô integral processes, In: Séminaire de Probabilités XXVI. Springer-Verlag, New York. L. N. Math., 1526 (1990), 11-31.
    • (1990) L. N. Math. , vol.1526 , pp. 11-31
    • Mayer-Wolf, E.1    Nualart, D.2    Pérez-Abreu, V.3
  • 22
    • 0001714525 scopus 로고    scopus 로고
    • An elementary approach to a Girsanov formula and other analytical results on fractional Brownian motions
    • I. NORROS, E. VALKEILA AND J. VIRTAMO, An elementary approach to a Girsanov formula and other analytical results on fractional Brownian motions, Bernoulli 5 (4) (1999), 571-587.
    • (1999) Bernoulli , vol.5 , Issue.4 , pp. 571-587
    • Norros, I.1    Valkeila, E.2    Virtamo, J.3
  • 24
    • 0034562433 scopus 로고    scopus 로고
    • Integration questions related to fractional Brownian motion
    • V. PIPIRAS AND M. S. TAQQU, Integration questions related to fractional Brownian motion, Prob. Theory Rel. Fields 118 (2) (2000), 251-291.
    • (2000) Prob. Theory Rel. Fields , vol.118 , Issue.2 , pp. 251-291
    • Pipiras, V.1    Taqqu, M.S.2
  • 25
    • 33750073208 scopus 로고    scopus 로고
    • Are classes of deterministic integrands for fractional Brownian motion on an interval complete?
    • V. PIPIRAS AND M. S. TAQQU, Are classes of deterministic integrands for fractional Brownian motion on an interval complete? Bernoulli 7 (6) (2001), 873-897.
    • (2001) Bernoulli , vol.7 , Issue.6 , pp. 873-897
    • Pipiras, V.1    Taqqu, M.S.2
  • 27
    • 0001365070 scopus 로고
    • Derivatives of Wiener functional and absolute continuity of induced measures
    • I. SHIGEKAWA, Derivatives of Wiener functional and absolute continuity of induced measures, J. Math. Kyoto Univ. 26 (1986), 263-289.
    • (1986) J. Math. Kyoto Univ. , vol.26 , pp. 263-289
    • Shigekawa, I.1
  • 28
    • 0036553750 scopus 로고    scopus 로고
    • On the Wiener integral with respect to the fractional Brownian motion
    • C. TUDOR, On the Wiener integral with respect to the fractional Brownian motion Bol. Soc. Mat. Mexicana 1 (8) (2002), 97-106.
    • (2002) Bol. Soc. Mat. Mexicana , vol.1 , Issue.8 , pp. 97-106
    • Tudor, C.1
  • 29
    • 4243991613 scopus 로고
    • On independence and conditioning on Wiener space
    • S. ÜSTUNEL AND M. ZAKAI, On independence and conditioning on Wiener space, Ann. Probab. 17 (1989), 1141-1453.
    • (1989) Ann. Probab. , vol.17 , pp. 1141-1453
    • Üstunel, S.1    Zakai, M.2
  • 30


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