메뉴 건너뛰기




Volumn 19, Issue 2, 2003, Pages 147-167

A risk model driven by Lévy processes

Author keywords

L vy processes; Risk reserve process; Risk theory; Ruin probabilities

Indexed keywords

COMPUTER SIMULATION; INSURANCE; POISSON DISTRIBUTION; PROBABILITY DENSITY FUNCTION; RANDOM PROCESSES; RISK MANAGEMENT;

EID: 0037939850     PISSN: 15241904     EISSN: None     Source Type: Journal    
DOI: 10.1002/asmb.492     Document Type: Article
Times cited : (25)

References (46)
  • 4
    • 4043059348 scopus 로고    scopus 로고
    • Lévy processes
    • Cambridge University Press: Cambridge
    • Bertoin J. Lévy Processes. Cambridge Tracts in Mathematics, vol. 121, Cambridge University Press: Cambridge, 1996.
    • (1996) Cambridge Tracts in Mathematics , vol.121
    • Bertoin, J.1
  • 6
    • 0003697040 scopus 로고    scopus 로고
    • Barndorff-Nielsen OE, Mikosh T, Resnick S. (eds.); Birkauser: Basal
    • Barndorff-Nielsen OE, Mikosh T, Resnick S. (eds). Lévy Processes-Theory and Applications. Birkauser: Basal, 2001.
    • (2001) Lévy Processes-Theory and Applications
  • 8
    • 0038404538 scopus 로고
    • Normal inverse Gaussian distributions and the modeling of stock returns
    • Research Report No. 300, Department of Theoretical Statistics, Aarhus University
    • Barndorff-Nielsen OE. Normal inverse Gaussian Distributions and the Modeling of Stock Returns. Research Report No. 300, Department of Theoretical Statistics, Aarhus University, 1995.
    • (1995)
    • Barndorff-Nielsen, O.E.1
  • 10
    • 0001464668 scopus 로고    scopus 로고
    • The normal inverse Gaussian Lévy process: Simulation and approximation
    • Rydberg TH. The normal inverse Gaussian Lévy process: simulation and approximation. Communications on Statistics and Stochastic Models 1997; 13(4): 887-910.
    • (1997) Communications on Statistics and Stochastic Models , vol.13 , Issue.4 , pp. 887-910
    • Rydberg, T.H.1
  • 11
    • 84972495814 scopus 로고
    • Hyperbolic distributions in finance
    • Eberlein E, Keller U. Hyperbolic Distributions in Finance. Bernouilli 1995; 1:281-299.
    • (1995) Bernouilli , vol.1 , pp. 281-299
    • Eberlein, E.1    Keller, U.2
  • 12
    • 0038256442 scopus 로고    scopus 로고
    • The generalized hyperbolic model: Financial derivatives and risk measures
    • Springer-Verlag: Berlin
    • Eberlein E, Prause K. The Generalized Hyperbolic Model: Financial Derivatives and Risk Measures. In Mathematical Finance-Bachelier Congress 2000. Springer-Verlag: Berlin, 2000.
    • (2000) Mathematical Finance-Bachelier Congress 2000
    • Eberlein, E.1    Prause, K.2
  • 13
    • 0005787419 scopus 로고    scopus 로고
    • Application of generalized hyperbolic lévy motions to finance
    • Birkhäuser: Basel
    • Eberlein E. Application of Generalized Hyperbolic Lévy Motions to Finance. In Lévy Processes: Theory and Applications. Birkhäuser: Basel, 2001.
    • (2001) Lévy Processes: Theory and Applications
    • Eberlein, E.1
  • 14
    • 0000670088 scopus 로고    scopus 로고
    • New insights into smile, mispricing and value at risk: The hyperbolic model
    • Eberlein E, Keller U, Prause K. New insights into smile, mispricing and value at risk: The hyperbolic model. Journal of Business 1998; 71(3):371-406.
    • (1998) Journal of Business , vol.71 , Issue.3 , pp. 371-406
    • Eberlein, E.1    Keller, U.2    Prause, K.3
  • 15
    • 0036077860 scopus 로고    scopus 로고
    • Pure jump Lévy processes for asset price modelling
    • German H. Pure jump Lévy processes for asset price modelling. Journal of Banking and Finance 2002; 26:1296-1316.
    • (2002) Journal of Banking and Finance , vol.26 , pp. 1296-1316
    • German, H.1
  • 17
    • 0037728520 scopus 로고    scopus 로고
    • The Meixner process in finance
    • EURANDOM Report 2001-002, EURANDOM, Eindhoven
    • Schoutens W. The Meixner Process in Finance. EURANDOM Report 2001-002, EURANDOM, Eindhoven, 2001.
    • (2001)
    • Schoutens, W.1
  • 18
    • 85011452677 scopus 로고    scopus 로고
    • A semimartingale approach to some problems in risk theory
    • Sørensen M. A Semimartingale approach to some problems in risk theory. ASTIN Bulletin 1996; 26(1):15-23.
    • (1996) ASTIN Bulletin , vol.26 , Issue.1 , pp. 15-23
    • Sørensen, M.1
  • 19
    • 0007627510 scopus 로고    scopus 로고
    • Lévy processes in finance: A remedy to the non-stationarity of continuous martingales
    • LeBlanc B, Yor M. Lévy Processes in finance: A remedy to the non-stationarity of continuous martingales. Finance and Stochastics 1998; 2:399-408.
    • (1998) Finance and Stochastics , vol.2 , pp. 399-408
    • LeBlanc, B.1    Yor, M.2
  • 20
    • 0002842136 scopus 로고
    • A class of approximations of ruin probabilities
    • Grandell J. A class of approximations of ruin probabilities. Scandinavian Actuarial Journal 1977; (Supp): 37-52.
    • (1977) Scandinavian Actuarial Journal , Issue.SUPPL. , pp. 37-52
    • Grandell, J.1
  • 22
    • 0002871754 scopus 로고
    • Processes that can be embedded in Brownian motion
    • Monroe I. Processes that can be embedded in Brownian motion. The Annals of Probability 1978; 6:42-56.
    • (1978) The Annals of Probability , vol.6 , pp. 42-56
    • Monroe, I.1
  • 24
    • 0032585467 scopus 로고    scopus 로고
    • On the computation of aggregate claims distributions: Some new approximations
    • Chaubey Y, Garrido J, Trudeau S. On the computation of aggregate claims distributions: some new approximations. Insurance: Mathematics and Economics 1998; 23:215-230.
    • (1998) Insurance: Mathematics and Economics , vol.23 , pp. 215-230
    • Chaubey, Y.1    Garrido, J.2    Trudeau, S.3
  • 27
    • 0010933261 scopus 로고
    • Statistical properties of the generalized inverse Gaussian distribution
    • Springer: Berlin
    • Jorgensen B. Statistical Properties of the Generalized Inverse Gaussian Distribution. Lecture Notes in Statistics, vol. 9, Springer: Berlin, 1982.
    • (1982) Lecture Notes in Statistics , vol.9
    • Jorgensen, B.1
  • 30
    • 0003291564 scopus 로고    scopus 로고
    • Stochastic processes and orthogonal polynomials
    • Springer-Verlag: New York
    • Schoutens W. Stochastic Processes and Orthogonal Polynomials. Lecture Notes in Statistics, vol. 146, Springer-Verlag: New York, 2000.
    • (2000) Lecture Notes in Statistics , vol.146
    • Schoutens, W.1
  • 33
    • 0035599225 scopus 로고    scopus 로고
    • Probability laws related to the Jacobi theta and Riemann zeta functions, and Brownian excursions
    • Biane P, Pitman J, Yor M. Probability laws related to the Jacobi theta and Riemann zeta functions, and Brownian excursions. Bulletin of American Mathematical Society 2001; 38:435-465.
    • (2001) Bulletin of American Mathematical Society , vol.38 , pp. 435-465
    • Biane, P.1    Pitman, J.2    Yor, M.3
  • 34
    • 26544459178 scopus 로고    scopus 로고
    • Infinitely divisible laws associated with hyperbolic functions
    • Prépublications du Laboratoire de Probabilitiéles Aléatoires; Universités de Paris 6 and Paris 7, Paris
    • Pitman J, Yor M. Infinitely Divisible Laws Associated with Hyperbolic Functions. Prépublications du Laboratoire de Probabilitiéles Aléatoires, vol. 616. Universités de Paris 6 and Paris 7, Paris, 2000.
    • (2000) , vol.616
    • Pitman, J.1    Yor, M.2
  • 37
    • 0003351444 scopus 로고    scopus 로고
    • Order flow, transaction clock, and normality of asset returns
    • Ané T, German H. Order flow, transaction clock, and normality of asset returns. The Journal of Finance 2000; 55(2):2259-2284.
    • (2000) The Journal of Finance , vol.55 , Issue.5 , pp. 2259-2284
    • Ané, T.1    German, H.2
  • 38
    • 0001912797 scopus 로고
    • Risk theory for the compound Poisson process that is perturbed by diffusion
    • Dufresne F, Gerber H. Risk theory for the compound Poisson process that is perturbed by diffusion. Insurance: Mathematics and Economics 1991; 10:51-59.
    • (1991) Insurance: Mathematics and Economics , vol.10 , pp. 51-59
    • Dufresne, F.1    Gerber, H.2
  • 40
    • 0004044693 scopus 로고    scopus 로고
    • Lévy Processes in Finance: Theory, Numerics and Empirical Facts
    • Ph.D. Thesis. Albert-Ludwigs University of Freiburg, Germany
    • Raible S. Lévy processes in finance: theory, numerics and empirical facts. Ph.D. Thesis. Albert-Ludwigs University of Freiburg, Germany, 2000.
    • (2000)
    • Raible, S.1
  • 41
    • 0000296336 scopus 로고
    • Cramér-Lundberg approximations for ruin probabilities of risk processes perturbed by diffusion
    • Schmidli H Cramér-Lundberg approximations for ruin probabilities of risk processes perturbed by diffusion. Insurance: Mathematics and Economics 1995; 16:135-149.
    • (1995) Insurance: Mathematics and Economics , vol.16 , pp. 135-149
    • Schmidli, H.1
  • 43
    • 0009977758 scopus 로고    scopus 로고
    • The generalized hyperbolic model: Estimation, financial derivatives, and risk measures
    • Ph.D. Thesis. Albert-Ludwigs University of Freiburg, Germany
    • Prause K. The generalized hyperbolic model: estimation, financial derivatives, and risk measures. Ph.D. Thesis. Albert-Ludwigs University of Freiburg, Germany, 1999.
    • (1999)
    • Prause, K.1
  • 44
    • 0035637532 scopus 로고    scopus 로고
    • Approximations of small jumps of Lévy processes with a view towards simulation
    • Asmussen S, Rosiński J. Approximations of small jumps of Lévy processes with a view towards simulation. Journal of Applied Probability 2001, 38(2):482-493.
    • (2001) Journal of Applied Probability , vol.38 , Issue.2 , pp. 482-493
    • Asmussen, S.1    Rosiński, J.2
  • 46
    • 0000903441 scopus 로고
    • The VG model for share market returns
    • Madan, DB, Seneta E. The VG model for share market returns. Journal of Business 1990; 63: 511-524.
    • (1990) Journal of Business , vol.63 , pp. 511-524
    • Madan, D.B.1    Seneta, E.2


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.