메뉴 건너뛰기




Volumn 79, Issue 3-4, 2007, Pages 309-335

Linear programming approach to the optimal stopping of singular stochastic processes

Author keywords

Linear programming; Lookback option; Martingale problem; Optimal stopping; Regime switching; Singular processes

Indexed keywords


EID: 34248192873     PISSN: 17442508     EISSN: 17442516     Source Type: Journal    
DOI: 10.1080/17442500600976814     Document Type: Conference Paper
Times cited : (16)

References (22)
  • 1
    • 0030366646 scopus 로고    scopus 로고
    • Occupation measures for controlled Markov processes: Characterization and optimality
    • Bhatt, A.G. and Borkar, V.S., 1996, Occupation measures for controlled Markov processes: characterization and optimality, Annals of Probability, 24, 1531-1562.
    • (1996) Annals of Probability , vol.24 , pp. 1531-1562
    • Bhatt, A.G.1    Borkar, V.S.2
  • 6
    • 0000654914 scopus 로고
    • Momentprobleme für ein endliches Intervall
    • Hausdorff, F., 1923, Momentprobleme für ein endliches Intervall. Mathematische Zeitschrift, 16, 220-248.
    • (1923) Mathematische Zeitschrift , vol.16 , pp. 220-248
    • Hausdorff, F.1
  • 7
    • 34248203876 scopus 로고    scopus 로고
    • Numerical methods for optimal stopping using linear and nonlinear programming
    • B. Pasik-Duncan Ed, Berlin: Springer-Verlag, pp
    • Helmes, K., 2002, Numerical methods for optimal stopping using linear and nonlinear programming. In: B. Pasik-Duncan (Ed.) Stochastic Theory and Control, Vol. 280 (Berlin: Springer-Verlag), pp. 185-203.
    • (2002) Stochastic Theory and Control , vol.280 , pp. 185-203
    • Helmes, K.1
  • 8
    • 34248199077 scopus 로고    scopus 로고
    • A geometrical characterization of the multi-dimensional Hausdorff and dale polytopes with applications to exit time problems
    • preprint
    • Helmes, K. and Röhl, S., A geometrical characterization of the multi-dimensional Hausdorff and dale polytopes with applications to exit time problems, preprint.
    • Helmes, K.1    Röhl, S.2
  • 13
    • 0032024929 scopus 로고    scopus 로고
    • Existence of Markov controls and characterization of optimal Markov controls
    • Kurtz, T.G. and Stockbridge, R.H., 1998, Existence of Markov controls and characterization of optimal Markov controls, SIAM Journal on Control and Optimization, 36, 609-653.
    • (1998) SIAM Journal on Control and Optimization , vol.36 , pp. 609-653
    • Kurtz, T.G.1    Stockbridge, R.H.2
  • 14
    • 1942498781 scopus 로고    scopus 로고
    • Stationary solutions and forward equations for controlled and singular martingale problems
    • Paper No. 14, 1-52
    • Kurtz, T.G. and Stockbridge, R.H., 2001. Stationary solutions and forward equations for controlled and singular martingale problems, Electronic Journal of Probability, 6, Paper No. 14, 1-52.
    • (2001) Electronic Journal of Probability , vol.6
    • Kurtz, T.G.1    Stockbridge, R.H.2
  • 15
    • 0001257766 scopus 로고
    • Linear programming and sequential decisions
    • Manne, A.S., 1960, Linear programming and sequential decisions, Management Science, 6, 259-267.
    • (1960) Management Science , vol.6 , pp. 259-267
    • Manne, A.S.1
  • 17
    • 14844352792 scopus 로고    scopus 로고
    • The Russian option: Finite horizon
    • Peskir, G., 2005, The Russian option: Finite horizon, Finance Stoch., 9, 251-267.
    • (2005) Finance Stoch , vol.9 , pp. 251-267
    • Peskir, G.1
  • 19
    • 34248206901 scopus 로고    scopus 로고
    • Shreve, S.E., 1988, An introduction to singular stochastic control. Stochastic Differential Systems, Stochastic Control Theory and Applications (Minneapolis, Minn., 1986) pp. 513-528, IMA Math. Appl., 10 (New York-Berlin: Springer).
    • Shreve, S.E., 1988, An introduction to singular stochastic control. Stochastic Differential Systems, Stochastic Control Theory and Applications (Minneapolis, Minn., 1986) pp. 513-528, IMA Vol. Math. Appl., 10 (New York-Berlin: Springer).
  • 20
    • 0001287190 scopus 로고
    • Time-average control of martingale problems: Existence of a stationary solution
    • Stockbridge, R.H., 1990, Time-average control of martingale problems: existence of a stationary solution, Annals of Probability, 18, 190-205.
    • (1990) Annals of Probability , vol.18 , pp. 190-205
    • Stockbridge, R.H.1
  • 21
    • 0001287187 scopus 로고
    • Time-average control of martingale problems: A linear programming formulation
    • Stockbridge, R.H., 1990. Time-average control of martingale problems: a linear programming formulation, Annals of Probability, 18, 206-217.
    • (1990) Annals of Probability , vol.18 , pp. 206-217
    • Stockbridge, R.H.1
  • 22
    • 0000209312 scopus 로고
    • On approximation by polygons in the calculus of variations
    • Young, L.C., 1933, On approximation by polygons in the calculus of variations, Proceeding of Royal Society, Series A, 141, 325-341.
    • (1933) Proceeding of Royal Society, Series A , vol.141 , pp. 325-341
    • Young, L.C.1


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.