메뉴 건너뛰기




Volumn 115, Issue 7, 2005, Pages 1167-1186

Asymptotic expansion for Barndorff-Nielsen and Shephard's stochastic volatility model

Author keywords

Edgeworth expansion; L vy process; Mixing; Non Gaussian Ornstein Uhlenbeck process; Stochastic volatility model

Indexed keywords

ASYMPTOTIC STABILITY; DIFFERENTIAL EQUATIONS; DIFFERENTIATION (CALCULUS); MATHEMATICAL MODELS;

EID: 20344381297     PISSN: 03044149     EISSN: None     Source Type: Journal    
DOI: 10.1016/j.spa.2005.02.007     Document Type: Article
Times cited : (14)

References (24)
  • 1
    • 0002443909 scopus 로고    scopus 로고
    • Processes of Normal inverse Gaussian type
    • O.E. Barndorff-Nielsen, Processes of Normal inverse Gaussian type, Finance Stoch. (1998) 41-68.
    • (1998) Finance Stoch. , pp. 41-68
    • Barndorff-Nielsen, O.E.1
  • 5
    • 0038178133 scopus 로고    scopus 로고
    • Integrated OU processes and non-Gaussian OU-based stochastic volatility models
    • O.E. Barndorff-Nielsen N. Shephard Integrated OU processes and non-Gaussian OU-based stochastic volatility models Scand. J. Statist. 30 2003 277-295
    • (2003) Scand. J. Statist. , vol.30 , pp. 277-295
    • Barndorff-Nielsen, O.E.1    Shephard, N.2
  • 6
    • 0003297374 scopus 로고
    • Malliavin calculus for processes with jumps
    • Gordon and Breach Science Publishers, New York
    • K. Bichteler, J. Gravereaux, J. Jacod, Malliavin calculus for processes with jumps, Stochastics Monographs, vol. 2, Gordon and Breach Science Publishers, New York, 1987.
    • (1987) Stochastics Monographs , vol.2
    • Bichteler, K.1    Gravereaux, J.2    Jacod, J.3
  • 7
    • 0003407041 scopus 로고    scopus 로고
    • second ed., Wiley Series in Probability and Statistics, Wiley, New York
    • P. Billingsley, Convergence of Probability Measures, second ed., Wiley Series in Probability and Statistics, Wiley, New York, 1999.
    • (1999) Convergence of Probability Measures
    • Billingsley, P.1
  • 8
    • 2942520251 scopus 로고    scopus 로고
    • Pricing of catastrophe reinsurance and derivatives using the Cox process with shot noise intensity
    • A. Dassios J. Jang Pricing of catastrophe reinsurance and derivatives using the Cox process with shot noise intensity Finance Stoch. 7 2003 73-95
    • (2003) Finance Stoch. , vol.7 , pp. 73-95
    • Dassios, A.1    Jang, J.2
  • 10
    • 0000299549 scopus 로고
    • Asymptotic expansions for sums of weakly dependent random vectors
    • F. Götze C. Hipp Asymptotic expansions for sums of weakly dependent random vectors Z. Wahrsch. Verw. Gebiete 64 1983 211-239
    • (1983) Z. Wahrsch. Verw. Gebiete , vol.64 , pp. 211-239
    • Götze, F.1    Hipp, C.2
  • 11
    • 0034419862 scopus 로고    scopus 로고
    • Malliavin calculus, geometric mixing, and expansion of diffusion functionals
    • S. Kusuoka N. Yoshida Malliavin calculus, geometric mixing, and expansion of diffusion functionals Probab. Theory Related Fields 116 2000 457-484
    • (2000) Probab. Theory Related Fields , vol.116 , pp. 457-484
    • Kusuoka, S.1    Yoshida, N.2
  • 12
    • 0009454582 scopus 로고
    • A characterization of stable processes
    • E. Lukacs A characterization of stable processes J. Appl. Probab. 6 1969 409-418
    • (1969) J. Appl. Probab. , vol.6 , pp. 409-418
    • Lukacs, E.1
  • 13
    • 18244374693 scopus 로고    scopus 로고
    • On multidimensional Ornstein-Uhlenbeck processes driven by a general Lévy process
    • H. Masuda On multidimensional Ornstein-Uhlenbeck processes driven by a general Lévy process Bernoulli 10 2004 97-120
    • (2004) Bernoulli , vol.10 , pp. 97-120
    • Masuda, H.1
  • 14
    • 20344369674 scopus 로고    scopus 로고
    • Exponential β-mixing bound for Lévy-driven stochastic differential equations
    • submitted for publication
    • H. Masuda, Exponential β-mixing bound for Lévy-driven stochastic differential equations, 2004, submitted for publication.
    • (2004)
    • Masuda, H.1
  • 15
    • 20344386606 scopus 로고    scopus 로고
    • Edgeworth expansion for a class of Levy-driven Ornstein-Uhlenbeck-based models
    • MHF Preprint Series 2005-8, Kyushu University
    • H. Masuda, N. Yoshida, Edgeworth expansion for a class of Levy-driven Ornstein-Uhlenbeck-based models, MHF Preprint Series 2005-8, Kyushu University.
    • Masuda, H.1    Yoshida, N.2
  • 16
    • 0042357432 scopus 로고    scopus 로고
    • Option pricing in stochastic volatility models of the Ornstein-Uhlenbeck type
    • E. Nicolato E. Venardos Option pricing in stochastic volatility models of the Ornstein-Uhlenbeck type Math. Finance 13 2003 445-466
    • (2003) Math. Finance , vol.13 , pp. 445-466
    • Nicolato, E.1    Venardos, E.2
  • 17
    • 7444252279 scopus 로고    scopus 로고
    • Vasiček beyond the normal
    • R. Norberg Vasiček beyond the normal Math. Finance 14 2004 585-604
    • (2004) Math. Finance , vol.14 , pp. 585-604
    • Norberg, R.1
  • 19
    • 0347471759 scopus 로고    scopus 로고
    • Higher order asymptotic expansion for a functional of a mixing process with application to diffusion processes
    • Unpublished manuscript
    • Y. Sakamoto, N. Yoshida, Higher order asymptotic expansion for a functional of a mixing process with application to diffusion processes, Unpublished manuscript, 1999.
    • (1999)
    • Sakamoto, Y.1    Yoshida, N.2
  • 20
    • 10444228627 scopus 로고    scopus 로고
    • Asymptotic expansion formulas for functionals of ε-Markov processes with a mixing property
    • Y. Sakamoto N. Yoshida Asymptotic expansion formulas for functionals of ε -Markov processes with a mixing property Ann. Inst. Statist. Math. 56 2004 545-597
    • (2004) Ann. Inst. Statist. Math. , vol.56 , pp. 545-597
    • Sakamoto, Y.1    Yoshida, N.2
  • 21
    • 0004044683 scopus 로고    scopus 로고
    • Lévy Processes and Infinitely Divisible Distributions
    • Cambridge: Cambridge University Press
    • K. Sato Lévy Processes and Infinitely Divisible Distributions 1999 Cambridge University Press Cambridge
    • (1999)
    • Sato, K.1
  • 22
    • 0038911472 scopus 로고    scopus 로고
    • Malliavin calculus and asymptotic expansion for martingales
    • N. Yoshida Malliavin calculus and asymptotic expansion for martingales Probab. Theory Related Fields 109 1997 301-342
    • (1997) Probab. Theory Related Fields , vol.109 , pp. 301-342
    • Yoshida, N.1
  • 23
    • 0037796514 scopus 로고    scopus 로고
    • Malliavin calculus and martingale expansion
    • N. Yoshida Malliavin calculus and martingale expansion Bull. Sci. Math. 125 2001 431-456
    • (2001) Bull. Sci. Math. , vol.125 , pp. 431-456
    • Yoshida, N.1
  • 24
    • 4043162104 scopus 로고    scopus 로고
    • Partial mixing and Edgeworth expansion
    • N. Yoshida Partial mixing and Edgeworth expansion Probab. Theory Related Fields 129 2004 559-624
    • (2004) Probab. Theory Related Fields , vol.129 , pp. 559-624
    • Yoshida, N.1


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.