Processes of Meixner type

Lithuanian Mathematical Journal

Volumn 39, Issue 1, 1999, Pages 33-41

  Grigelionis, B ^a  

^a VILNIUS UNIVERSITY   (Lithuania)

Author keywords

Independent increments; Long range dependence; Meixner process; Self similarity; Semimartingale

Indexed keywords

EID: 0038518730     PISSN: 03631672     EISSN: 15738825     Source Type: Journal    
DOI: 10.1007/BF02465533     Document Type: Article

References (19)

1. S. K. Bar-Lev, D. Bshouty, and G. Letac, Natural exponential families and selfdecomposability, Statistics Probab. Lett., 13, 147-152 (1992).
2. O. E. Barndorff-Nielsen, Normal inverse Gaussian distributions and stochastic volatility modelling, Scand. J. Statist., 24, 1-13 (1996).
3. O. E. Barndorff-Nielsen, Processes of normal inverse Gaussian type, Finance and Stochastics, 2, 41-68 (1998).
4. O. E. Barndorff-Nielsen, J. L. Jensen, and M. Sørensen, Parametric modelling of turbulence, Philos. Trans. Roy. Soc. London, A332, 439-455 (1990).
5. O. E. Barndorff-Nielsen, J. L. Jensen, and M. Srensen, Some stationary processes in discrete and continuous time. Research Report 241, Dept. Theor. Statistics, Aarhus University (1995).
6. E. Eberlein and U. Keller, Hyperbolic distributions in finance, Bernoulli, 1, 281-299 (1995).
7. H. Gerber and E. Shiu, Option pricing by Esscher-transforms, Trans. Soc. Actuaries, 46, (1995).
8. I. S. Gradshteyn and I. W. Ryzhik, Table of Integrals, Series and Products, Academic Press, New York (1965).
9. B. Grigelionis, On mixed exponential processes and martingales, Lith. Math. J., 38(1), 59-74 (1998).
10. E. Janke, F. Emde, and F. Lösch, Tafeln Höherer Funktionen, Teubner, Stuttgart (1960).
11. U. Küchler and M. Sørensen, Exponential Families of Stochastic Processes, Springer, Berlin (1997).
12. G. Letac, Lectures on Natural Exponentials Families and Their Variance Functions, Monografias de Matematica, 50, IMPA, Rio de Janeiro (1992).
13. E. Lukacs, Characteristic Functions, 2nd edn., Charles Griffin, London (1970).
14. D. B. Madan and F. Milne, Option pricing with V.G. martingale components, Mathematical Finance, 1(4), 39-55 (1991).
15. D. B. Madan and E. Seneta, The Variance Gamma (V.G.) model for share market returns, J. Business, 63, 511-524 (1990).
16. T. H. Rydberg, Generalized hyperbolic diffusions with applications toward finance. Research Report 342, Dept. Theor. Statistics, Aarhus University (1996).
17. T. H. Rydberg, The normal inverse Gaussian Lëvy processes: simulation and approximation, Stochastic Models, 13(4), (1996).
18. K. Sato, Self-similar processes with independent increments, Probab. Theory Related Fields, 89, 285-300 (1991).
19. W. Schoutens and J. L. Teugels, Lévy processes, polynomials and martingales, Commun. Statist.-Stochastic Models, 14(1, 2), 335-349 (1998).