@article{TVP_2010_55_2_a7,
author = {F. K. Klebaner and R. Sh. Liptser},
title = {Asymptotic analysis of ruin in {CEV} model},
journal = {Teori\^a vero\^atnostej i ee primeneni\^a},
pages = {350--357},
year = {2010},
volume = {55},
number = {2},
language = {ru},
url = {http://geodesic.mathdoc.fr/item/TVP_2010_55_2_a7/}
}
F. K. Klebaner; R. Sh. Liptser. Asymptotic analysis of ruin in CEV model. Teoriâ veroâtnostej i ee primeneniâ, Tome 55 (2010) no. 2, pp. 350-357. http://geodesic.mathdoc.fr/item/TVP_2010_55_2_a7/
[1] Cox J. C., “The constant elasticity of variance option. Pricing model”, J. Portfolio Management, 23:2 (1997), 15–17
[2] Delbaen F., Shirakawa H., A note of option pricing for constant elasticity of variance model, Preprint No 96-03, ETH, Zürich, 1996
[3] Donati-Martin C., Rouault A., Yor M., Zani M., “Large deviations for squares of Bessel and Ornstein–Uhlenbeck processes”, Probab. Theory Related Fields, 129:2 (2004), 261–289 | DOI | MR | Zbl
[4] Dupuis P., Ellis R. S., A Weak Convergence Approach to the Theory of Large Deviations, Wiley, New York, 1997, 479 pp. | MR | Zbl
[5] Freidlin M. I., Wentzell A. D., Random Perturbations of Dynamical Systems, Springer-Verlag, New York, 1984, 326 pp. | MR | Zbl
[6] Klebaner F. C., Introduction to Stochastic Calculus with Applications, Imperial College Press, London, 2005, 416 pp. | MR | Zbl
[7] Klebaner F. C., Liptser R., “Likely path to extinction in simple branching models with large initial population”, J. Appl. Math. Stoch. Anal., 2006, Art. ID 60376, 23 pp. | MR
[8] Liptser R. Sh., Pukhalskii A. A., “Limit theorems on large deviations for semimartingales”, Stochastics Stochastics Rep., 38:4 (1992), 201–249 | MR | Zbl
[9] Lu R., Hsu Y.-H., “Valuation of standard options under the constant elasticity of variance model”, Internat. J. Business Econom., 4:2 (2005), 157–165
[10] Rogers L. C. G., Williams D., Diffusions, Markov Processes, and Martingales, v. 2, Itô Calculus, Cambridge Univ. Press, Cambridge, 2000, 480 pp. | MR
[11] Rouault A., “Large deviations and branching processes”, Pliska Stud. Math. Bulgar., 13 (2000), 15–38 | MR