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Volumn 29, Issue 1, 2001, Pages 385-410

Mean value theorems for stochastic integrals

Author keywords

Numerical approximations; Stochastic control; Stochastic integrals

Indexed keywords


EID: 0035533102     PISSN: 00911798     EISSN: None     Source Type: Journal    
DOI: 10.1214/aop/1008956335     Document Type: Article
Times cited : (12)

References (20)
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  • 2
    • 84974753170 scopus 로고
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    • BARLES, G. and SOUGANIDIS, P. E. (1991). Convergence of approximation schemes for fully nonlinear second order equations. Asymptotic Anal. 4 271-283.
    • (1991) Asymptotic Anal. , vol.4 , pp. 271-283
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  • 4
    • 84972568429 scopus 로고
    • Examples of singular parabolic measures and singular transition probability densities
    • FABES, E. B. and KENIG, C. (1981). Examples of singular parabolic measures and singular transition probability densities. Duke Math. J. 48 845-856.
    • (1981) Duke Math. J. , vol.48 , pp. 845-856
    • Fabes, E.B.1    Kenig, C.2
  • 7
    • 0000538250 scopus 로고
    • On the selection of a markov process from a system of processes and the construction of quasi-diffusion processes
    • (inRussian). [EnglishtranslationinMath.USSRIzv. (1973) 7 691-709.]
    • KRYLOV, N. V. (1973). On the selection of a Markov process from a system of processes and the construction of quasi-diffusion processes. Izv. Akad. Nauk SSSR 37 691-708 (in Russian). [English translation in Math. USSR Izv. (1973) 7 691-709.]
    • (1973) Izv. Akad. Nauk Sssr , vol.37 , pp. 691-708
    • Krylov, N.V.1
  • 8
    • 0004275483 scopus 로고
    • Nauka, Moscow (in Russian). English translation published Springer, New York
    • KRYLOV, N.V. (1977). Controlled Diffusion Processes. Nauka, Moscow (in Russian). [English translation published (1980) Springer, New York.]
    • (1977) Controlled Diffusion Processes
    • Krylov, N.V.1
  • 9
    • 0007455893 scopus 로고    scopus 로고
    • On the rate of convergence of finite-difference approximations for Bellman's equations
    • [91 KRYLOV, N. V. (1997). On the rate of convergence of finite-difference approximations for Bellman's equations. Algebra i Analiz 9 245-256.
    • (1997) Algebra i Analiz , vol.9 , pp. 245-256
    • Krylov, N.V.1
  • 10
    • 0007384467 scopus 로고    scopus 로고
    • Fully nonlinear second order elliptic equations: Recent development
    • KRYLOV, N.V. (1997). Fully nonlinear second order elliptic equations: Recent development, Ann. Scuola Norm. Sup. Pisa Cl. Sci. (4) 25 569-595.
    • (1997) Ann. Scuola Norm. Sup. Pisa Cl. Sci. , vol.25 , Issue.4 , pp. 569-595
    • Krylov, N.V.1
  • 11
    • 0007384270 scopus 로고    scopus 로고
    • Approximating value functions for controlled degenerate diffusion processes by using piece-wise constant policies
    • Also available at
    • KRYLOV, N.V. (1999). Approximating value functions for controlled degenerate diffusion processes by using piece-wise constant policies. Electron. J. Probab. 4 1-19. Also available at http : //www.math. washington.edu/ ejpecp/EjpVo14/paper2.abs.html.
    • (1999) Electron. J. Probab. , vol.4 , pp. 1-19
    • Krylov, N.V.1
  • 12
    • 0034384390 scopus 로고    scopus 로고
    • On the rate of convergence of finite-difference approximations for Bellman's equations with variable coefficients
    • KRYLOV, N.V. (2000). On the rate of convergence of finite-difference approximations for Bellman's equations with variable coefficients. Probab. Theory Related Fields 117 1-16.
    • (2000) Probab. Theory Related Fields , vol.117 , pp. 1-16
    • Krylov, N.V.1
  • 13
    • 0026821779 scopus 로고
    • Discrete methods for fully nonlinear elliptic equations
    • KUO, H. J. and TRUDINGER, N. S. (1992). Discrete methods for fully nonlinear elliptic equations. SIAM J. Numer. Anal. 29 123-135.
    • (1992) SIAM J. Numer. Anal. , vol.29 , pp. 123-135
    • Kuo, H.J.1    Trudinger, N.S.2
  • 15
    • 0007430916 scopus 로고
    • Approximation of controlled solutions of itô equations by controlled Markov chains
    • (in Russian).
    • PRAGARAUSKAS, G. (1983). Approximation of controlled solutions of Itô equations by controlled Markov chains. Lit. Mat. Sbornik. 23 175-188 (in Russian).
    • (1983) Lit. Mat. Sbornik. , vol.23 , pp. 175-188
    • Pragarauskas, G.1
  • 16
    • 0007387679 scopus 로고
    • [English translation in Lithuanian Math. J. 23 (1983) 98-108.]
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  • 17
    • 0003005366 scopus 로고
    • An example of diffusion process with singular distribution at some given time
    • (in Russian). VNU Science Press, Vilnius
    • SAFONOV, M. V. (1981). An example of diffusion process with singular distribution at some given time. In Third Vilnius Conference on Probability Theory and Mathematical Statistics 133-134 (in Russian). VNU Science Press, Vilnius.
    • (1981) Third Vilnius Conference on Probability Theory and Mathematical Statistics , pp. 133-134
    • Safonov, M.V.1


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