메뉴 건너뛰기




Volumn 13, Issue , 2008, Pages 1140-1165

Gaussian moving averages and semimartingales

Author keywords

Gaussian processes; Moving averages; Non canonical representations; Semimartingales; Stationary processes; Stochastic convolutions

Indexed keywords


EID: 48449086481     PISSN: None     EISSN: 10836489     Source Type: Journal    
DOI: 10.1214/EJP.v13-526     Document Type: Article
Times cited : (21)

References (25)
  • 4
    • 34250170930 scopus 로고
    • On two problems concerning linear transformations in Hilbert space
    • Beurling, A. (1948). On two problems concerning linear transformations in Hilbert space. Acta Math. 81, 17.
    • (1948) Acta Math , vol.81 , pp. 17
    • Beurling, A.1
  • 6
    • 0242467551 scopus 로고    scopus 로고
    • Gaussian moving averages, semimartingales and option pricing
    • Cheridito, P. (2004). Gaussian moving averages, semimartingales and option pricing. Stochastic Process. Appl. 109 (1), 47-68.
    • (2004) Stochastic Process. Appl , vol.109 , Issue.1 , pp. 47-68
    • Cheridito, P.1
  • 7
    • 84955288315 scopus 로고    scopus 로고
    • When is a moving average a semimartingal?
    • Cherny, A. (2001). When is a moving average a semimartingal? MaPhySto - Research Report 2001-28.
    • (2001) Maphysto - Research Report , pp. 2001-2028
    • Cherny, A.1
  • 8
    • 0002004204 scopus 로고
    • On some classes of nonstationary stochastic processes
    • Berkeley, Calif.: Univ. California Press
    • Cramer, H. (1961). On some classes of nonstationary stochastic processes. In Proc. 4th Berkeley Sympos. Math. Statist. and Prob., Vol. II, pp. 57-78. Berkeley, Calif.: Univ. California Press.
    • (1961) Proc. 4Th Berkeley Sympos. Math. Statist. And Prob. , vol.II , pp. 57-78
    • Cramer, H.1
  • 9
    • 0000134542 scopus 로고
    • The Brownian movement and stochastic equations
    • Doob, J. L. (1942). The Brownian movement and stochastic equations. Ann. of Math. (2) 43, 351-369.
    • (1942) Ann. Of Math. , vol.43 , Issue.2 , pp. 351-369
    • Doob, J.L.1
  • 10
    • 85037898544 scopus 로고
    • Stochastic processes. Wiley Classics Library. New York: John Wiley &
    • A Wiley-Interscience Publication
    • Doob, J. L. (1990). Stochastic processes. Wiley Classics Library. New York: John Wiley & Sons Inc. Reprint of the 1953 original, A Wiley-Interscience Publication.
    • (1990) Sons Inc. Reprint of the 1953 Original
    • Doob, J.L.1
  • 12
    • 0001655260 scopus 로고
    • Some properties of fractional integrals
    • Hardy, G. H. and J. E. Littlewood (1928). Some properties of fractional integrals. I. Math. Z. 27(1), 565-606.
    • (1928) I. Math. Z. , vol.27 , Issue.1 , pp. 565-606
    • Hardy, G.H.1    Littlewood, J.E.2
  • 13
    • 0001524553 scopus 로고
    • Canonical representations of Gaussian processes and their applications
    • Hida, T. (1960/1961). Canonical representations of Gaussian processes and their applications. Mem. Coll. Sci. Univ. Kyoto. Ser. A. Math. 33, 109-155.
    • (1960) Mem. Coll. Sci. Univ. Kyoto. Ser. A. Math , vol.33 , pp. 109-155
    • Hida, T.1
  • 14
    • 0000419456 scopus 로고
    • Filtration des ponts browniens et equations differentielles stochastiques lineaires
    • XXIV, 1988/89, Lecture Notes in Math., Berlin: Springer
    • Jeulin, T. and M. Yor (1990). Filtration des ponts browniens et equations differentielles stochastiques lineaires. In Séminaire de Probabilités, XXIV, 1988/89, Volume 1426 of Lecture Notes in Math., pp. 227-265. Berlin: Springer.
    • (1990) Séminaire de Probabilités , vol.1426 , pp. 227-265
    • Jeulin, T.1    Yor, M.2
  • 15
    • 2442456183 scopus 로고
    • Moyennes mobiles et semimartingales
    • Jeulin, T. and M. Yor (1993). Moyennes mobiles et semimartingales. Séminaire de Probabilités XXVII(1557), 53-77.
    • (1993) Séminaire De Probabilités , vol.XXVII , Issue.1557 , pp. 53-77
    • Jeulin, T.1    Yor, M.2
  • 16
    • 0011334960 scopus 로고
    • Uber die Struktur stationarer zufälliger Funktionen
    • Karhunen, K. (1950). Uber die Struktur stationarer zufälliger Funktionen. Ark. Mat. 1, 141-160.
    • (1950) Ark. Mat. , vol.1 , pp. 141-160
    • Karhunen, K.1
  • 17
    • 0041892088 scopus 로고
    • Oxford Studies in Probability. New York: The Clarendon Press Oxford University Press. Oxford Science Publications
    • Knight, F. B. (1992). Foundations of the prediction process, Volume 1 of Oxford Studies in Probability. New York: The Clarendon Press Oxford University Press. Oxford Science Publications.
    • (1992) Foundations of the Prediction Process , vol.1
    • Knight, F.B.1
  • 18
    • 0041383213 scopus 로고
    • Sur une classe de courbes de l'espace de Hilbert et sur une equation integrale non lineaire
    • Levy, P. (1956). Sur une classe de courbes de l'espace de Hilbert et sur une equation integrale non lineaire. Ann. Sci. Ecole Norm. Sup. (3) 73, 121-156.
    • (1956) Ann. Sci. Ecole Norm. Sup. (3) , vol.73 , pp. 121-156
    • Levy, P.1
  • 20
    • 0003522826 scopus 로고    scopus 로고
    • Second ed, of Applications of Mathematics (New York). Berlin: Springer-Verlag. Stochastic Modelling and Applied Probability
    • Protter, P. E. (2004). Stochastic integration and differential equations (Second ed.), Volume 21 of Applications of Mathematics (New York). Berlin: Springer-Verlag. Stochastic Modelling and Applied Probability.
    • (2004) Stochastic Integration and Differential Equations , vol.21
    • Protter, P.E.1
  • 21
    • 48449093093 scopus 로고
    • Functions of the first Baire class with values in metric spaces, and some of their applications
    • Investigations on linear operators and the theory of functions, XIII
    • Reïnov, O. I. (1984). Functions of the first Baire class with values in metric spaces, and some of their applications. Zap. Nauchn. Sem. Leningrad. Otdel. Mat. Inst. Steklov. (LOMI) 135, 135-149. Investigations on linear operators and the theory of functions, XIII.
    • (1984) Zap. Nauchn. Sem. Leningrad. Otdel. Mat. Inst. Steklov. (LOMI , vol.135 , pp. 135-149
    • Reïnov, O.I.1
  • 22
    • 0031540977 scopus 로고    scopus 로고
    • Arbitrage with fractional brownian motion
    • Rogers, L. C. G. (1997). Arbitrage with fractional brownian motion. Math. Finance 7(1), 95-105.
    • (1997) Math. Finance , vol.7 , Issue.1 , pp. 95-105
    • Rogers, L.C.G.1
  • 23
    • 84968468453 scopus 로고
    • Functions of the first Baire class with values in Banach spaces
    • Stegall, C. (1991). Functions of the first Baire class with values in Banach spaces. Proc. Amer. Math. Soc. 111 (4), 981-991.
    • (1991) Proc. Amer. Math. Soc , vol.111 , Issue.4 , pp. 981-991
    • Stegall, C.1
  • 24
    • 51249180343 scopus 로고
    • Semimartingales gaussiennes - application au probleme de l'innovation
    • Stricker, C. (1983). Semimartingales gaussiennes - application au probleme de l'innovation. Z. Wahrsch. Verw. Gebiete 64 (3), 303-312.
    • (1983) Z. Wahrsch. Verw. Gebiete , vol.64 , Issue.3 , pp. 303-312
    • Stricker, C.1


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.