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Volumn 12, Issue 1, 2009, Pages 77-91

On average losses in the ruin problem with fractional Brownian motion as input

Author keywords

Average loss; Gaussian process; Large excursions; Ruin problem

Indexed keywords


EID: 59449104065     PISSN: 13861999     EISSN: 1572915X     Source Type: Journal    
DOI: 10.1007/s10687-008-0069-z     Document Type: Article
Times cited : (8)

References (13)
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    • Extremes of Gaussian processes over an infinite horizon
    • T. Dieker 2005 Extremes of Gaussian processes over an infinite horizon Stoch. Process. Their Appl. 115 207 248
    • (2005) Stoch. Process. Their Appl. , vol.115 , pp. 207-248
    • Dieker, T.1
  • 5
    • 0033210499 scopus 로고    scopus 로고
    • Extremes of a certain class of Gaussian processes
    • J. Hüsler V. Piterbarg 1999 Extremes of a certain class of Gaussian processes Stoch. Process. Their Appl. 83 257 271
    • (1999) Stoch. Process. Their Appl. , vol.83 , pp. 257-271
    • Hüsler, J.1    Piterbarg, V.2
  • 6
    • 4544382418 scopus 로고    scopus 로고
    • On the ruin probability for physical fractional Brownian motion
    • J. Hüsler V. Piterbarg 2004 On the ruin probability for physical fractional Brownian motion Stoch. Process. Their Appl. 113 315 332
    • (2004) Stoch. Process. Their Appl. , vol.113 , pp. 315-332
    • Hüsler, J.1    Piterbarg, V.2
  • 8
    • 33748368929 scopus 로고    scopus 로고
    • Extreme values of a portfolio of Gaussian processes and a trend
    • J. Hüsler C.M. Schmid 2006 Extreme values of a portfolio of Gaussian processes and a trend Extremes 8 171 189
    • (2006) Extremes , vol.8 , pp. 171-189
    • Hüsler, J.1    Schmid, C.M.2
  • 9
    • 59449095776 scopus 로고    scopus 로고
    • On ruin problem for Gaussian stationary process
    • S.G. Kobelkov 2004 On ruin problem for Gaussian stationary process Probab. Theory Appl. 49 171 178
    • (2004) Probab. Theory Appl. , vol.49 , pp. 171-178
    • Kobelkov, S.G.1
  • 10
    • 35549005007 scopus 로고    scopus 로고
    • Ruin probability at a given time for a model with liabilities of the fractional Brownian motion type: A partial differential equation approach
    • (July Volume)
    • N.E. Frangos S.D. Vrontos A.N. Yannacopoulos 2005 Ruin probability at a given time for a model with liabilities of the fractional Brownian motion type: a partial differential equation approach Scand. Actuar. J. 4 285 308 (July Volume)
    • (2005) Scand. Actuar. J. , vol.4 , pp. 285-308
    • Frangos, N.E.1    Vrontos, S.D.2    Yannacopoulos, A.N.3
  • 12
    • 8544278050 scopus 로고    scopus 로고
    • Large deviations of a storage process with fractional Brownian motion as input
    • V.I. Piterbarg 2001 Large deviations of a storage process with fractional Brownian motion as input Extremes 4 147 164
    • (2001) Extremes , vol.4 , pp. 147-164
    • Piterbarg, V.I.1
  • 13
    • 21344466480 scopus 로고    scopus 로고
    • Bounds and estimators of a basic constant in extreme value theory of Gaussian processes
    • Q.-M. Shao 1996 Bounds and estimators of a basic constant in extreme value theory of Gaussian processes Stat. Sin. 6 245 257
    • (1996) Stat. Sin. , vol.6 , pp. 245-257
    • Shao, Q.-M.1


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.