메뉴 건너뛰기




Volumn 2005, Issue 4, 2005, Pages 285-308

Ruin probability at a given time for a model with liabilities of the fractional Brownian motion type: A partial differential equation approach

Author keywords

Fractional brownian motion; Fractional it calculus; Partial differential equations; Ruin probability

Indexed keywords


EID: 35549005007     PISSN: 03461238     EISSN: 16512030     Source Type: Journal    
DOI: 10.1080/03461230510009790     Document Type: Article
Times cited : (6)

References (22)
  • 2
    • 0038246338 scopus 로고    scopus 로고
    • Fractional white noise calculus and applications to finance Infin
    • Oksendal, B. and Hu, Y., 2003, Fractional white noise calculus and applications to finance Infin. Dimens Anal Quantum Prob Related Top, 6, 1-32.
    • (2003) Dimens Anal Quantum Prob Related Top , vol.6 , pp. 1-32
    • Oksendal, B.1    Hu, Y.2
  • 5
    • 0037405017 scopus 로고    scopus 로고
    • Measuring anti-correlations in the Nordic electricity spot market by wavelets
    • Simonsen, I., 2003, Measuring anti-correlations in the Nordic electricity spot market by wavelets. Physica A, 322, 597-606.
    • (2003) Physica A , vol.322 , pp. 597-606
    • Simonsen, I.1
  • 7
  • 9
    • 0009695549 scopus 로고    scopus 로고
    • On tail probabilties and first passage times for fractional Brownian motion
    • Michna, Z., 1999, On tail probabilties and first passage times for fractional Brownian motion. Mathematical Methods for Operations Research, 49, 335-354.
    • (1999) Mathematical Methods for Operations Research , vol.49 , pp. 335-354
    • Michna, Z.1
  • 10
    • 0036162320 scopus 로고    scopus 로고
    • Ruin probability for Gaussian integrated processes
    • Debicki, K., 2002, Ruin probability for Gaussian integrated processes. Stochastic Processes and Their Applications, 98, 151-174.
    • (2002) Stochastic Processes and Their Applications , vol.98 , pp. 151-174
    • Debicki, K.1
  • 12
    • 21344466480 scopus 로고    scopus 로고
    • Bounds and estimators of a basic constant in extreme value theory of Gaussian processes
    • Shao, Q.M., 1996, Bounds and estimators of a basic constant in extreme value theory of Gaussian processes. Statistica Sinica, 6, 245-257.
    • (1996) Statistica Sinica , vol.6 , pp. 245-257
    • Shao, Q.M.1
  • 13
    • 0033147512 scopus 로고    scopus 로고
    • Ruin problems with assets and liabilities of diffusion type
    • Norberg, R., 1999, Ruin problems with assets and liabilities of diffusion type. Stochastic Processes and their Applications, 81, 255-269.
    • (1999) Stochastic Processes and Their Applications , vol.81 , pp. 255-269
    • Norberg, R.1
  • 14
    • 0033878593 scopus 로고    scopus 로고
    • Stochastic calculus for fractional Brownian motion I
    • Duncan, T.E., Hu, Y. and Pasik-Duncan, B., 2000, Stochastic calculus for fractional Brownian motion I. Siam J Control Optim, 38, 582-612.
    • (2000) Siam J Control Optim , vol.38 , pp. 582-612
    • Duncan, T.E.1    Hu, Y.2    Pasik-Duncan, B.3
  • 15
    • 0008237511 scopus 로고    scopus 로고
    • Modelling of stock price changes: A real analysis approach
    • Norvaisa, R., 2000, Modelling of stock price changes: A real analysis approach. Finance and Stochastics, 4, 343-369.
    • (2000) Finance and Stochastics , vol.4 , pp. 343-369
    • Norvaisa, R.1
  • 16
    • 0042637937 scopus 로고    scopus 로고
    • Stochastic analysis of the fractional Brownian motion
    • Decreusefond, L. and Ustunel, A.S., 1999, Stochastic analysis of the fractional Brownian motion. Potential ananlysis, 10, 177-214.
    • (1999) Potential Ananlysis , vol.10 , pp. 177-214
    • Decreusefond, L.1    Ustunel, A.S.2
  • 19
    • 54749142376 scopus 로고
    • A fast fractional Gaussian noise generator
    • Mandelbrot, B., 1971, A fast fractional Gaussian noise generator. Water Resources Research, 7, 543-553.
    • (1971) Water Resources Research , vol.7 , pp. 543-553
    • Mandelbrot, B.1
  • 20
    • 0000481680 scopus 로고    scopus 로고
    • The Wavelet-based Synthesis for Fractional Brownian motion Proposed
    • by F. Sellan and Y. Meyer: Remarks and Fast Implementation
    • Abry, P. and Sellan, D., 1996, The Wavelet-based Synthesis for Fractional Brownian motion Proposed by F. Sellan and Y. Meyer: Remarks and Fast Implementation. Applied and Computational Harmonic Analysis, 3, 377-383.
    • (1996) Applied and Computational Harmonic Analysis , vol.3 , pp. 377-383
    • Abry, P.1    Sellan, D.2
  • 21
    • 0002238054 scopus 로고    scopus 로고
    • Simulation of fractional Brownian motion with conditionalized random midpoint displacement
    • Norros, I., Mannersalo, P. and Wang, J.L., 1999, Simulation of fractional Brownian motion with conditionalized random midpoint displacement. Adv Perf Anal, 1, 77-101.
    • (1999) Adv Perf Anal , vol.1 , pp. 77-101
    • Norros, I.1    Mannersalo, P.2    Wang, J.L.3


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.