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Volumn 123, Issue 4, 2002, Pages 521-552

A supermartingale characterization of sets of stochastic integrals and applications

Author keywords

Diffusion approximation; Optimal control; Stochastic differential equations; Weak convergence

Indexed keywords


EID: 0036025137     PISSN: 01788051     EISSN: None     Source Type: Journal    
DOI: 10.1007/s004400100190     Document Type: Article
Times cited : (3)

References (25)
  • 1
    • 0001091975 scopus 로고
    • Measurable selections of extrema
    • Brown, L.D., Purves, R.: Measurable selections of extrema, Annals of Statistics, 1(5), 902-912 (1973)
    • (1973) Annals of Statistics , vol.1 , Issue.5 , pp. 902-912
    • Brown, L.D.1    Purves, R.2
  • 3
    • 0003875839 scopus 로고
    • Chapman & Hall/CRC, Boca Raton-London-New York-Washington, D.C.
    • Dudley, R.M.: Real analysis and probability. Chapman & Hall/CRC, Boca Raton-London-New York-Washington, D.C., 1989
    • (1989) Real Analysis and Probability
    • Dudley, R.M.1
  • 5
    • 0033440011 scopus 로고    scopus 로고
    • Heavy traffic approximations for a system of infinite servers with load balancing
    • Fleming, P.J., Simon, B.: Heavy traffic approximations for a system of infinite servers with load balancing, Probab. Engrg. Inform. Sci., 13, 251-273 (1999)
    • (1999) Probab. Engrg. Inform. Sci. , vol.13 , pp. 251-273
    • Fleming, P.J.1    Simon, B.2
  • 6
    • 0003294328 scopus 로고
    • Controlled Markov processes and viscosity solutions
    • New York: Springer-Verlag, etc.
    • Fleming, W.H., Soner, H.M.: Controlled Markov processes and viscosity solutions, Applications in Mathematics, 25, New York: Springer-Verlag, etc., 1993
    • (1993) Applications in Mathematics , vol.25
    • Fleming, W.H.1    Soner, H.M.2
  • 7
    • 0000335830 scopus 로고
    • Mimicking the one dimensional marginal distributions of processes having an Ito differential
    • Gyöngy, I.: Mimicking the one dimensional marginal distributions of processes having an Ito differential, Prob. Theory and Relat. Fields, 71, 501-516 (1986)
    • (1986) Prob. Theory and Relat. Fields , vol.71 , pp. 501-516
    • Gyöngy, I.1
  • 8
    • 0000646385 scopus 로고
    • On the approximation of stochastic differential equations
    • Gyöngy, I.: On the approximation of stochastic differential equations, Stochastics, 23, 331-352 (1988)
    • (1988) Stochastics , vol.23 , pp. 331-352
    • Gyöngy, I.1
  • 12
    • 0003757289 scopus 로고
    • Limit theorems for stochastic processes
    • Grundlehren der math. Wissenschaften, Springer-Verlag, New York, Berlin, Heidelberg
    • Jacod, J., Shiryayev, A.: Limit theorems for stochastic processes, Grundlehren der math. Wissenschaften, A series of comprehensive studies in math., Springer-Verlag, New York, Berlin, Heidelberg, 1987
    • (1987) A Series of Comprehensive Studies in Math.
    • Jacod, J.1    Shiryayev, A.2
  • 13
    • 0034462129 scopus 로고    scopus 로고
    • Utility maximization with discretionary stopping
    • Karatzas, I., Wang, H.: Utility maximization with discretionary stopping, SIAM J. Control Optim., 39(1), 306-329 (2000)
    • (2000) SIAM J. Control Optim. , vol.39 , Issue.1 , pp. 306-329
    • Karatzas, I.1    Wang, H.2
  • 14
    • 0013260916 scopus 로고
    • Once more about the connection between elliptic operators and Itô's stochastic equations
    • Optimiz. Software Inc, Publications Division, New York
    • Krylov, N.V.: Once more about the connection between elliptic operators and Itô's stochastic equations, in "Statistics and Control of Stoch. Proc. Steklov Seminar 1984", Optimiz. Software Inc, Publications Division, New York, 214-229 1985
    • (1985) Statistics and Control of Stoch. Proc. Steklov Seminar 1984 , pp. 214-229
    • Krylov, N.V.1
  • 15
    • 0013262021 scopus 로고
    • An approach in the theory of controlled diffusion processes
    • Russian
    • Krylov, N.V.: An approach in the theory of controlled diffusion processes, Teoria Veroyatnostei i eye Primeneniya, 31(4), 685-709 (1986) in Russian; English translation in Theor. Probability Appl., 31(4), 604-626 (1987)
    • (1986) Teoria Veroyatnostei i Eye Primeneniya , vol.31 , Issue.4 , pp. 685-709
    • Krylov, N.V.1
  • 16
    • 0001184763 scopus 로고
    • English translation
    • Krylov, N.V.: An approach in the theory of controlled diffusion processes, Teoria Veroyatnostei i eye Primeneniya, 31(4), 685-709 (1986) in Russian; English translation in Theor. Probability Appl., 31(4), 604-626 (1987)
    • (1987) Theor. Probability Appl. , vol.31 , Issue.4 , pp. 604-626
  • 17
    • 0001139412 scopus 로고
    • A supermartingale characterization of a set of stochastic integrals
    • Russian
    • Krylov, N.V.: A supermartingale characterization of a set of stochastic integrals, Ukrain. Mat. Zh., 41(6), 757-762 (1989) in Russian; English translation in Ukrainian Math. J., 41(6), 650-654 (1990)
    • (1989) Ukrain. Mat. Zh. , vol.41 , Issue.6 , pp. 757-762
    • Krylov, N.V.1
  • 18
    • 0001139412 scopus 로고
    • English translation
    • Krylov, N.V.: A supermartingale characterization of a set of stochastic integrals, Ukrain. Mat. Zh., 41(6), 757-762 (1989) in Russian; English translation in Ukrainian Math. J., 41(6), 650-654 (1990)
    • (1990) Ukrainian Math. J. , vol.41 , Issue.6 , pp. 650-654
  • 20
    • 0013297943 scopus 로고    scopus 로고
    • On diffusion approximation with discontinuous coefficients
    • Krylov, N.V., Liptser, R.: On diffusion approximation with discontinuous coefficients, submitted to Stoch. Proc. Appl.
    • Stoch. Proc. Appl.
    • Krylov, N.V.1    Liptser, R.2
  • 21
    • 0000367265 scopus 로고
    • Weak limit theorems for stochastic integrals and stochastic differential equations
    • Kurtz, T.G., Protter, P.: Weak limit theorems for stochastic integrals and stochastic differential equations, Annals of Probability, 19(3), 1035-1070 (1991)
    • (1991) Annals of Probability , vol.19 , Issue.3 , pp. 1035-1070
    • Kurtz, T.G.1    Protter, P.2
  • 23
    • 0004249844 scopus 로고
    • Nauka, Moscow, in Russian; English translation by Kluwer Acad. Publ., Dordrecht, 1989
    • Liptser, R.Sh., Shiryayev, A.N.: Theory of Martingales, Nauka, Moscow, 1986 in Russian; English translation by Kluwer Acad. Publ., Dordrecht, 1989
    • (1986) Theory of Martingales
    • Liptser, R.Sh.1    Shiryayev, A.N.2
  • 24
    • 0003907717 scopus 로고
    • Izd-vo Kievskogo Universiteta, Kiev, in Russian
    • Skorokhod, A.V.: Issledovaniya po teorii sluchainykh processov, Izd-vo Kievskogo Universiteta, Kiev, 1961 in Russian; English translation: Studies in the theory of random processes, New York: Dover Publ. Inc., 1982
    • (1961) Issledovaniya Po Teorii Sluchainykh Processov
    • Skorokhod, A.V.1
  • 25
    • 0004206823 scopus 로고
    • English translation: New York: Dover Publ. Inc.
    • Skorokhod, A.V.: Issledovaniya po teorii sluchainykh processov, Izd-vo Kievskogo Universiteta, Kiev, 1961 in Russian; English translation: Studies in the theory of random processes, New York: Dover Publ. Inc., 1982
    • (1982) Studies in the Theory of Random Processes


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.