메뉴 건너뛰기




Volumn 68, Issue 1, 2013, Pages 85-98

Nonlinear diffusions and stable-like processes with coefficients depending on the median or VaR

Author keywords

McKean Vlasov diffusion; Median; Nonlinear Markov processes; Quantile; Stable like processes; Tempered stable processes; Value at risk (VaR)

Indexed keywords

CONTINUOUS FUNCTIONS; MEDIAN; NONLINEAR DIFFUSION; PROBABILITY MEASURES; QUANTILE; STABLE PROCESS; UNDERLYING DISTRIBUTION; VALUE AT RISK;

EID: 84880197132     PISSN: 00954616     EISSN: 14320606     Source Type: Journal    
DOI: 10.1007/s00245-013-9199-z     Document Type: Article
Times cited : (7)

References (16)
  • 1
    • 79958262462 scopus 로고    scopus 로고
    • A maximum principle for SDEs of mean-field type
    • 2784835 10.1007/s00245-010-9123-8
    • Anderson, D.; Djehiche, B.: A maximum principle for SDEs of mean-field type. Appl. Math. Optim. 63, 341-356 (2011)
    • (2011) Appl. Math. Optim. , vol.63 , pp. 341-356
    • Anderson, D.1    Djehiche, B.2
  • 2
    • 84865069712 scopus 로고    scopus 로고
    • Large deviation properties of weakly interacting processes via weak convergence methods
    • 2917767 1242.60026 10.1214/10-AOP616
    • Budhiraja, A.; Dupuis, P.; Fischer, M.: Large deviation properties of weakly interacting processes via weak convergence methods. Ann. Probab. 40(1), 74-102 (2012)
    • (2012) Ann. Probab. , vol.40 , Issue.1 , pp. 74-102
    • Budhiraja, A.1    Dupuis, P.2    Fischer, M.3
  • 3
    • 28644434870 scopus 로고    scopus 로고
    • Systems of equations driven by stable processes
    • 2222382 1085.60035 10.1007/s00440-004-0426-z
    • Bass, R.F.; Chen, Z.-Q.: Systems of equations driven by stable processes. Probab. Theory Relat. Fields 134, 175-214 (2006)
    • (2006) Probab. Theory Relat. Fields , vol.134 , pp. 175-214
    • Bass, R.F.1    Chen, Z.-Q.2
  • 5
    • 79951549814 scopus 로고    scopus 로고
    • Mean field for Markov decision processes: From discrete to continuous optimization
    • Gast, N.; Gaujal, B.; Le Boudec, J.-Y.: Mean field for Markov decision processes: from discrete to continuous optimization. INRIA report no. 7239 (2010)
    • (2010) INRIA Report No. , vol.7239
    • Gast, N.1    Gaujal, B.2    Le Boudec J., .-Y.3
  • 6
    • 77549085949 scopus 로고    scopus 로고
    • Discrete time, finite state space mean field games
    • 2601334
    • Gomes, D.A.; Mohr, J.; Souza, R.R.: Discrete time, finite state space mean field games. J. Math. Pures Appl. 9(93), 308-328 (2010)
    • (2010) J. Math. Pures Appl. , vol.9 , Issue.93 , pp. 308-328
    • Gomes, D.A.1    Mohr, J.2    Souza, R.R.3
  • 7
    • 39549087376 scopus 로고    scopus 로고
    • Large population stochastic dynamic games: Closed-loop Mckean-Vlasov systems and the Nash certainty equivalence principle
    • 2346927 1136.91349
    • Huang, M.; Malhamé, R.P.; Caines, P.E.: Large population stochastic dynamic games: closed-loop Mckean-Vlasov systems and the Nash certainty equivalence principle. Commun. Inf. Syst. 6, 221-252 (2006)
    • (2006) Commun. Inf. Syst. , vol.6 , pp. 221-252
    • Huang, M.1    Malhamé, R.P.2    Caines, P.E.3
  • 8
    • 0010003910 scopus 로고    scopus 로고
    • Symmetric stable laws and stable-like jump-diffusions
    • 1744782 10.1112/S0024611500012314
    • Kolokoltsov, V.N.: Symmetric stable laws and stable-like jump-diffusions. Proc. Lond. Math. Soc. 3(80), 725-768 (2000)
    • (2000) Proc. Lond. Math. Soc. , vol.3 , Issue.80 , pp. 725-768
    • Kolokoltsov, V.N.1
  • 10
    • 33847250495 scopus 로고    scopus 로고
    • Nonlinear Markov semigroups and interacting Lévy type processes
    • 2294469 1110.82029 10.1007/s10955-006-9211-y
    • Kolokoltsov, V.N.: Nonlinear Markov semigroups and interacting Lévy type processes. J. Stat. Phys. 126(3), 585-642 (2007)
    • (2007) J. Stat. Phys. , vol.126 , Issue.3 , pp. 585-642
    • Kolokoltsov, V.N.1
  • 14
    • 84865799186 scopus 로고    scopus 로고
    • Nonlinear Markov games on a finite state space (mean-field and binary interactions)
    • Kolokoltsov, V.N.: Nonlinear Markov games on a finite state space (mean-field and binary interactions). Int. J. Stat. Probab. 1(1), 77-91 (2012). http://www.ccsenet.org/journal/index.php/ijsp/article/view/16682
    • (2012) Int. J. Stat. Probab. , vol.1 , Issue.1 , pp. 77-91
    • Kolokoltsov, V.N.1
  • 15
    • 0034287964 scopus 로고    scopus 로고
    • Estimates for fundamental solutions of second-order parabolic equations
    • 1783642 1020.35026 10.1112/S0024610700001332
    • Liskevich, V.; Semenov, Yu.: Estimates for fundamental solutions of second-order parabolic equations. J. Lond. Math. Soc. 62(2), 521-543 (2000)
    • (2000) J. Lond. Math. Soc. , vol.62 , Issue.2 , pp. 521-543
    • Liskevich, V.1    Semenov, Yu.2
  • 16
    • 0010763505 scopus 로고
    • Two-sided estimates of the fundamental solutions of second-order parabolic equations and some applications of them
    • 747792 (Russian)
    • Porper, F.O.; Eidelman, S.D.: Two-sided estimates of the fundamental solutions of second-order parabolic equations and some applications of them. Usp. Mat. Nauk 39(3), 107-156 (1984) (Russian)
    • (1984) Usp. Mat. Nauk , vol.39 , Issue.3 , pp. 107-156
    • Porper, F.O.1    Eidelman, S.D.2


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.