# Publications

## Ouvrages: Livres Publiés

 Pergamenshchikov, S.M. (with Kabanov, Yu.M.) Two Scale Stochastic Systems : Asymptotic Analysis and Control - Applications of Mathematics, Stochastic Modelling and Applied Probability, 49, Springer-Verlag, Berlin, New York, 2003

## Citation

• Harzing's Publish or Perish : Indice h=11 et Indice g=18.

## Articles publiés dans des Revues avec Comité de Lecture

### Statistiques

1. Pergamenshchikov, S. M. (with Konev, V. V.) The Sequential Plans of Parameters Identification in Dynamic Systems. - Automat. and Remote Control, 1981,7, pp. 84-92.
2. Pergamenshchikov, S. M. (with Konev, V. V.) Sequential Estimation of the Parameters of Random Processes with Continuous Time.- Mathematical statistics and its applications, Tomsk State University, Tomsk, 1981, 8, pp. 93-101.
3. Pergamenshchikov, S. M. (with Konev, V. V.) On the Asymptotic Normality of the Sequential Estimate of the Parameter in an Autoregressive Process of
the First Order. - Mathematical statistics and its applications, Tomsk State University, Tomsk, 1983, 9, pp. 117-129.
4. Pergamenshchikov, S. M. (with Konev, V. V.) On the Number of Observations in Sequential Identification of Parameters in Dynamic Systems. - Automat. and Remote Control, 1984, 12, pp. 56-62.
5. Pergamenshchikov, S. M. On the Duration of Sequantial Estimation of the Parameters of Diffusion Processes. - Automat. of Stat. Calc., Novosibirsk Technical Institute, Novosibirsk, 1985, pp. 62-74.
6. Pergamenshchikov, S. M. (with Konev, V. V.) Sequential Estimation of the Parameters of Diffusion Processes. - Problems of Inform. Trans., 1985, 21, 1,
pp. 48-62.
7. Pergamenshchikov, S. M. (with Konev, V. V.) On the Duration of Sequential Estimation of Parameters of Stochastic Processes in Discrete time.- Stochastics, 1986, v.18, 2, pp. 133-154.
8. Pergamenshchikov, S. M. (with Konev, V. V.) Sequential Estimation of the Parameters of Unstable Dynamical Systems. - Mathematical statistics and its
applications, Tomsk State University, Tomsk, 1987, 11, pp.70-81.
9. Pergamenshchikov, S. M. (with Konev, V. V.) On Guaranteed Estimation of the Parameters of Unstable Dynamical Systems.- Automat. and Remote Control, 1988, 11, pp. 130-140.
10. Pergamenshchikov, S. M. (with Konev, V. V.) On Truncated Sequential Estimation of the Drifting Parameter Mean in the First Order Autoregressive Model. Sequential Analysis, 1990, v. 9, 2, pp. 193-206.
11. Pergamenshchikov, S. M. (with Konev, V. V.) Truncated Sequential Estimation of the Parameters in a Random Regression.- Sequential Analysis, 1990, v. 9, 1, pp. 19-41.
12. Pergamenshchikov, S. M. Asymptotic Properties of the Sequential Design for Estimating the Parameter of a First Order Autoregression.- Theory Probab.
Appl., 1991, v. 36, 1, pp. 42-53.
13. Pergamenshchikov, S. M. (with Konev, V. V.) Sequential Estimation of the Parameters of Linear Unstable Stochastic Systems with Guaranteed Accuracy.
- Problems of Inform. Trans., 1992, v. 28, 4, pp. 35-48.
14. Pergamenshchikov, S. M. (with Shiryaev, A. N.) On the Sequential Estimation of a Parameter of Stochastic Difference Equations with Random Coefficients. Theory Probab. Appl., 1992, v. 37, 3, pp. 482-501.
15. Pergamenshchikov, S. M. (with Shiryaev, A. N.) On Reparametrization and Asymptotically Optimal Minimax Estimation in a Generalized Autoregressive
model.- Annales Acad. Scientiarum Fen. Series A.I.Mathematica, 1992, v. 17, p.111-116.
16. Pergamenshchikov, S. M. (with Konev, V. V.) On Truncated Sequential Estimation of the Parameters of Diffusion Processes. - Methods of Economical Analysis, Central Economical and Mathematical Institute of Russian Academy of Science, Moscow, 1992, p. 3-31.
17. Pergamenshchikov, S. M. (with Konev, V. V.) On Optimality of the Fixed Accuracy Estimate of the Parameter in an Explosive Autoregressive Process of the First Order. - Sequential Analysis, 1993, v. 12, 1, p. 25-78.
18. Pergamenshchikov, S. M. (with Konev, V. V.) Fixed Accuracy Estimation of Autoregression Parameters on the Basis of Sequential Correlation Method. -
Proceedings of Steklov Mathematical Institute, Russian Academy of Sciences, Moscow, 1993, v. 202, p. 149-169.
19. Pergamenshchikov, S. M. (with Konev, V. V.) On Estimation of the Autoregressive Parameter on the Basis of Generalized Least Squares Method. -Russian
Mathematical Surveys, 1995, v. 50, 6(306), pp.187-188
20. Pergamenshchikov, S. M. (with Konev, V. V.) Guaranteed Estimation of the Basis of the Autoregressive Parameter on the Basis of Generalized Least Squares Method. - Theory Probab. Appl., 1996, v. 41, 4, p. 765-784.
21. Pergamenshchikov, S. M. (with Konev, V. V.) On Asymptotic Minimaxity of Guaranted Estimators of Autoregressive Parameters. Part 1. Stable Process
Case. - Math. Methods in Statistics, 1996, v. 5, 2, p.125-153.
22. Pergamenshchikov, S. M. (with Konev,V. V.) Gauranteed Estimation of a Periodic Signal under Autoregressive Noise with Unknown Parameters.- Problems of Inform. Trans., 1997, v.33, 4.
23. Pergamenshchikov, S. M. (with Konev, V. V.) An Estimation of a periodic trend under the Autoregressive Noise. - Proceeding of steklov Mathematikal
Institute Seminar, "Statistics and Control of Stochastic Processes". The Liptser Festschrift, Steklov Mathematikal Institute, 1995-1996, editors : Kabanov, Yu.M., Rozovskii, B.L., Shiryaev, A. N., World Scientific, Singapure, New Jersey, London, Hong Kong, 1997, p. 205-227.
24. Pergamenshchikov, S. M. (with Dmitrienko, A. A. and Konev, V. V. ) On Guaranteed Estimation of Autoregressive Parameter on the Basis of Generalized
Least Sguares Method with Unknown Noise Variance. - Sequential Analysis,1997, v. 16, 1, p. 25-46.
25. Pergamenshchikov, S. M. (with Konev, V. V.) On Guaranteed Estimation of the Parameters of a Linear Regression with Dependent Noises. - Automat. and
Remote Control, 1997, 2, pp. 75-84.
26. Pergamenshchikov, S. M. (with Konev, V. V.) On Guaranteed Estimation of the Mean of An Autoregressive Process. -Annals of Statistics, 1997, v.25, 5, p.2127-2163.
27. Pergamenshchikov,S. M. (with V. V.Konev) On Asymptotic Minimaxity of Guaranted Estimators of Autoregressive Parameters. Part 2. Explosive Process Case. Math. Methods in Statistics, 1998 v.7, N 1, p. 27-59.
28. Pergamenshchikov, S. M. Asymptotic Expansions for the Stochastic Approximation Averaging Procedure in Continuous Time.- Statistical Inference for Sto-
chastic Process, 1999, v. 1, N 2, p. 197-223
29. Pergamenshchikov, S. M. (with L. Galtchouk) Sequential nonparametric adaptive estimation of the drift coefficient in diffusion processes.- Mathematical Methods of Statistics, 2001, v.10, 3, p.316-330
30. Pergamenshchikov, S. M. (with V. V.Konev) Sequential estimation in stochastic approximation problem with autoregressive errors in observation.- Sequential Analysis, 2003, v.22, 1 - 2, p. 1-29.
31. Pergamenshchikov, S. M. (with V. V.Konev) Guaranteed estimation of a trigonometric polynomial by observations with an additive gaussian noise having a
rational density with unknown parameter. - Statistical Inference for Stochastic Process, 2003, 6, 3, p. 215-235.
32. Pergamenshchikov, S. M. (with L. Galtchouk) Non parametric sequential estimation of the drift in diffusion processes via model selection. - Mathematical
Methods of Statistics, 2004, v.13, 1, p. 25-49
33. Pergamenshchikov, S. M. (with L. Galtchouk) Non parametric sequential mini-max estimation of the drift coefficient in diffusion processes. - Sequential Analysis, 2005, v.24, N3, p. 303-330.
34. Pergamenshchikov, S. M. (with L. Galtchouk) Asymptotically efficient sequential kernel estimates of the drift coefficient in ergodic diffusion processes. - Sta-
tistical Inference for Stochastic Process, 2006, 9(1), p. 1-16
35. Pergamenshchikov, S. M. (with L. Galtchouk) Asymptotically efficient estimates for non parametric regression models. - Statistics and Probability Letters, 2006, v. 76 , 8, p. 852-860
36. Pergamenshchikov, S. M. (with D. Fourdrinier) Improved model selection method for a regression function with dependent noise. - Annals of Institut Stat.
Math., 2007, 59, p. 435-464
37. Pergamenchtchikov S.(with Arkoun O.) Nonparametric Estimation for an Autoregressive Model.- Vestnik Tomskogo Gosudarstvennogo Universiteta. Ser. Matematika. Mechanika, 2008, v.2(3). p. 20 - 30
38. Pergamenshchikov, S. M. (with Galthouk, L.) Sharp non-asymptotic oracle inequalities for nonparametric heteroscedastic regression models. - Journal of Nonparametric Statistics, 2009, 21, 1, p. 1-16
39. Pergamenshchikov, S. M. (with Galthouk, L.) Adaptive asymptotically ecient estimation in heteroscedastic nonparametric regression. - Journal of the Korean Statistical Society, 2009, 38(4) p. 305 - 322.
40. Pergamenshchikov, S. M. (with Fourdrinier, D. and Konev, V.) Truncated sequential estimation of the parameter of a rst order autoregressive process with dependent noises - Mathematical Methods of Statistics, 2009, 18, 1, 43-58
41. Pergamenshchikov, S. M. (Konev, V.) Non-parametric estimation in a semimartingale regression model. Part 1. Oracle Inequalities. - Vestnik Tomskogo
Gosudarstvennogo Universiteta. Ser. Matematika. Mechanika, 2009, 3(7), 23-41
42. Pergamenshchikov, S. M. (Konev, V.) Non-parametric estimation in a semimartingale regression model. Part 2. Robust asymptotic eciency. Vestnik Tomskogo Gosudarstvennogo Universiteta. Ser. Matematika. Mechanika 2009, 4(8), 31-45.
43. Pergamenshchikov, S. M. (with Konev, V.) General model selection estimation of a periodic regression with a Gaussian noise. - Annals of the Institute of Statistical Mathematics, 2010, 62, 1083 - 1111.
44. Pergamenshchikov, S. M. (with Galthouk, L.) Adaptive sequential estimation for ergodic diffusion processes in quadratic metric. Journal of Nonparametric Statistics, 2011, 23, 2, 255-285.
45. Pergamenshchikov, S. M. (Konev, V.) Efficient robust nonparametric estimation
in a semimartingale regression model. Annales de l'Institut Henri Poincaré, Probabilités et Statistiques, 2012, 48, 4, 1277-1244.
46. Pergamenshchikov, S. M. (with Galthouk, L.) Efficient pointwise estimation based on discrete data in ergodic nonparametric diffusions. Bernoulli, 2012, accepted.

### Mathématiques financières

1. Pergamenshchikov, S. M. (with A. G. Frolova, Yu. M. Kabanov) In the insurance business risky investments are dangerous. - Finance and Stochastics, 2002, v. 6, 2, p. 227-235.
2. Pergamenshchikov, S. M. Limit theorem for Leland's strategy. - The Annals of Applied Probability, 2003, v. 13, 3, p. 1099-1118.
3. Pergamenshchikov, S. M. (with Klüppelberg, C.) The tail of the stationary distribution of a random coefficient AR(q) process with applications to an ARCH(q) process. - The Annals of Applied Probability, 2004, v. 14, 2, p. 971-1005.
4. Pergamenshchikov, S. M. (with Zeitouny, O.) Ruin probability in the presence of risky investments - Stochastic processes and their applications, 2006, 116, p. 267-278.
5. Pergamenshchikov, S. M. (with Klüppelberg, C.) Extremal behaviour of models with multivariate random recurrence representation -Stochastic processes and their applications, 2007, 117, 4, p. 432-456.
6. Pergamenshchikov, S. M. Erratum to : "Ruin probability in the presence of risky investments" [Stochastic processes and their applications, 2006, 116, p. 267-278]-Stochastic processes and their applications, 2009,119, 1, p. 305 - 306.
7. Pergamenshchikov, S. M. (with Klüppelberg, C.) Optimal consumption and investment with bounded downside risk for power utility functions. In : F. Delbaen, M. Rásonyi and C. Stricker (Eds.) Optimality and Risk - Modern
Trends in Mathematical Finance, Springer-Heidelberg-Dordrecht-London New York, 2009. p. 133-169.
8. Pergamenshchikov, S. M. (with Klüppelberg, C.) Optimal consumption and investment with bounded downside risk measures for logarithmic utility functions.- In : H. Albrecher, W. Runggaldier and W. Schachermayer (Eds.) Advanced Financial Modelling. Radon Ser. Comput. Appl. Math.,Walter de Gruyter, Berlin, 2009, 8, p. 245-273.
9. Pergamenshchikov, S. M. (with Berdjane, B.) Optimal consumption and investment for markets with randoms coecients. -Finance and Stochastics, 2013, be published
10. Pergamenshchikov, S. M. (with Chouaf, B.) Optimal investment with bounded VaR for power utility functions. Yu. Kabanov (Ed.) The collection of papers dedicated to the 60th anniversary of Marek Musiela. Springer, 2012, accepted.
http://hal.archives-ouvertes.fr/hal-00457354/fr

### Probabilités

1. Pergamenshchikov, S. M. (with Kabanov, Yu. M.) On Singularly Perturbed Stochastic Equations and Partial Differential Equations. - Soviet Math. Dokl.,
1990, v. 41, 2, pp. 328-331.
2. Pergamenshchikov, S. M. (with Kabanov, Yu. M.) On the Attainability Sets for Controlled Stochastic Differential Equations. - Russian Mathematical Surveys, 1991, v. 46,1, pp. 209-210.
3. Pergamenshchikov, S. M. (with Kabanov, Yu. M. and Stoyanov, J.M.) Asymptotic Expansions for Singularly Perturbed Stochastic Differential Equations.-
New Trends in Prob. and Stat.,VSP/Mokslas, 1991, p. 413-435.
4. Pergamenshchikov, S. M. (with Kabanov, Yu. M.) Optimal Control of Singularly Perturbed Stochastic Linear Systems. - Stochastics and Stochastics Reports, 1991, v. 36, pp. 109-135.
5. Pergamenshchikov, S. M. (with Kabanov, Yu. M.) Singular Pertubations of Stochastic Differential Equations : the Tikhonov theorem. - Math. USSR Sbornik,1992, v. 71, 1, pp. 15-27.
6. Pergamenshchikov, S. M. Asymptotic Expansions for Models with Both Quick and Slowly Variables Specified by Singularly Perturbed Stochastic Systems of Stochastic Differential Equations. - Russian Mathematical Surveys, 1994, v. 49, 4, p. 1-44.
7. Pergamenshchikov, S. M. (with Kabanov, Yu. M.) Large Deviations for Singular Perturbed Stochastic Differential Equations. - Russian Mathematical Surveys,1995, v. 50, 5, p. 989-1013.
8. Pergamenshchikov, S. M. (with Kabanov, Yu. M.) On Convergence of Attainability Sets for Controlled Two-Scale Stochastic Linear Systems. - SIAM J.
Control, 1997, v. 35, 1, p. 134-159.
9. Pergamenshchikov, S. M. (with Klüppelberg, C.) Renewal theory for functionals of a Markov chain with compact state space. - Annals of Probability, 2003, v.31, 4, p. 2270 - 2300.
10. Pergamenshchikov, S. M. (with L. Galtchouk) Uniform concentration inequality for ergodic diffusion processes. - Stochastic processes and their applications, 2007, v. 7, p. 830-839.
11. Pergamenshchikov, S. M. (with L. Galtchouk) Uniform concentration inequality for ergodic diffusion processes observed at discrete times. - Stochastic processes and their applications, 2013, v. 123, 1, p. 91 - 109.

## Actes de Conférences avec Comité de Lecture

1. Pergamenshchikov, S. M. (with Konev, V. V.) On Sequential Method for Parameters in stochastic Process. - 8th Russian Conference on Coding Theory and Informarion Transmission, Proc. of a conférence, Moscow- Kuibyshev, Russia, 1981, v.4, pp. 68-72.
2. Pergamenshchikov, S. M. (with Konev, V. V.) Asymptotic Properties of Sequential Estimation Plans for Parameters in Random Processes. - Russian Conference "Application of statistical methods to control problems", Perm, Russia, 1984, pp. 124-125.
3. Pergamenshchikov, S. M. On Guaranteed Estimation of Autoregressive Parameters.- Second Symp. on Statistical Measurements and application of microsoft wear, Proc.of Symp., Riga, Latvia, 1984, v.3, pp. 74-78.
4. Pergamenshchikov, S. M. (with Konev, V. V.) On Sequential Estimation Plans for Autoregression Parameters. - 4th International Vilnius Conference on Probability Theory and Mathematical Statistics, Proc. of a Conference, Vilnius, Lithunia, 1985,v.2, pp. 54-55.
5. Pergamenshchikov, S. M. (with Konev, V. V.) On Sequential Estimation of Parameters in Stochastic Dynamical Systems. - Proc. of 6th Seminar on Nonparametric and Robust Methods of Statistics in Cybernetics, Tomsk State University, Tomsk, 1987,v.1, pp. 202-214.
6. Pergamenshchikov, S. M. (with Konev, V. V.) Sequential Parameter Estimation in Unstable Processes. - 9th Conf. on Coding Theory and Information Trans., Odessa, Russia, 1988, pp. 33-34.
7. Pergamenshchikov, S. M. (with Konev, V. V.) On Estimation of Autoregression Process with Bounded Sample Volume. - Trans. of 3th Conf. "Perspective Planning Methods and Analysis of Random Fields and Processes", Grodno, Belorussia, Sept.,1988, v.3, pp. 52-53.
8. Pergamenshchikov, S. M. (with Konev, V. V.) Truncated Sequential Estimation of Autoregressive parameters. - 5th International Vilnius Conference on Probability Theory and Mathematical Statistics, Proc. of a Conference, Vilnius, Lithunia, 1989, v.3, pp. 307-308.
9. Pergamenshchikov, S. M. (with Kabanov, Yu. M.) Singularly Perturbed Stochastic Differential Equations. - 5th International Vilnius Conference on Probability Theory and Mathematical Statistics, Proc. of a conference, Vilnius, Lithunia, 1989, v.3, pp. 263-265.
10. Pergamenshchikov, S. M. (with Konev, V. V.) Sequential Estimation of Autoregressive Parameters in the Presence of Drift. - Trans. of Conf. "Math. and Programming Tool for Data Analysis", Minsk State University, Minsk, Belorussia, 1990, pp. 113.
11. Pergamenshchikov, S. M. (with Kabanov, Yu. M.) On Optimal Control of Singularly Perturbed Stochastic Differential Equations. - Modeling, Estimation and Control of Systems with Uncertainty, Proc. of a Conference, Sopron, Hungary, September, Birhauser, 1990, pp. 200 - 209.
12. Pergamenshchikov, S. M. Asymptotic Expansions for Systems of Singularly Perturbed Stochastic Differential Equations. - Proc. of a International Russian Conference "Stochastic Methods of Analysis", "TVP", Moscow, 1994, p. 91-93.
13. Pergamenshchikov, S. M. (with Konev, V. V.) Estimate for the Autoregression Parameter with the Property of Uniform Asymptotic Normality on the Whole Line. -"Limiting Theorems and Relevant Problems", Proceedings of the International Seminar, Omsk Russia, 1995, pp. 26-28.
14. Pergamenshchikov, S. M. (with Konev, V. V.) On Guaranteed Identification of Stochastic Dynamic Systems. - Proceedings of the 13th IFAC world congress, San-Francisco, USA, Pergamon Press, 1996, v. H, p. 533-538.
15. Pergamenshchikov, S. M. Tail behaviour of the Stationary Distribution of a Random Coefficient Autoregressive Model. - Oberwolfach Reports (European Mathematical Society), 2004, v. 1, No. 1 (Report No. 2/2004) p. 161 - 163.

## Prépublications

1. Pergamenshchikov, S. M. On Large Deviation probabilities in Ergodic Theorem for Singularly perturbed Stochastic Systems. - Preprint 414, Weierstras Institute, Berlin, Germany, 1998.
2. Pergamenshchikov, S. M. (with L. Galtchouk) Estimateurs séquentiels à noyau et aux polynômes locaux pour le problème d'estimation non paramétrique de la dérive d'un processus de diffusion. - Preprint 2000/58, 2000, IRMA (UMR 7501), Universitè Louis Pasteur, 1-42.
3. 3. Pergamenshchikov, S. M. (with L. Galtchouk) Ecient adaptive nonparametric estimation in heteroscedastic models. - Université Louis Pasteur, IRMA, Preprint, 2005. http://hal.archives-ouvertes.fr/hal-00129707/fr/
4. Pergamenshchikov, S. M. (with Klüppelberg, C.) Optimal consumption and investment with bounded Capital-and-Risk. -Munich University of technology, Preprint, 2005, Available online at www-m4.ma.tum.de/Papers
5. Pergamenshchikov, S. M. (with Klüppelberg, C.) Optimal consumption and investment for Logarithmic utility with bounded Capital-and-Risk.- Munich University of Technology, Preprint, 2005. Available online at www-m4.ma.tum.de/Papers
6. Pergamenshchikov, S. M. (with Klüppelberg, C.) Optimal consumption and investment with bounded Capital-at-Risk for power utility functions. - Munich University of Technology, Preprint, 2007. Available online at http://www.iac.rm.cnr.it/amamef
7. Pergamenshchikov, S. M. (with Galthouk, L.) Adaptive sequential estimation for ergodic diffusion processes in quadratic metric. Part 1. Sharp non-asymptotic oracle inequalities.- Prépublication 2007/06, IRMA, Université Louis Pasteur de Strasbourg, 2007.
8. Pergamenshchikov, S. M. (with Galthouk, L.) Adaptive sequential estimation for ergodic diffusion processes in quadratic metric. Part 2. Asymptotic eciency. - Prépublication 2007/07, IRMA, Université Louis Pasteur de Strasbourg, 2007
9. Pergamenshchikov, S. M. (with Galthouk, L.) Adaptive non parametric estimation in heteroscedastic regression models. Part 1. Non-asymptotic oracle inequalities. -Prépublication 2007/9 , IRMA, Université Louis Pasteur de Strasbourg, 2007.
10. Pergamenshchikov, S. M. (with Galthouk, L.) Adaptive non parametric estimation in heteroscedastic regression models. Part 2. Asymptotic eciency. - Prépublication 2007/10, IRMA, Université Louis Pasteur de Strasbourg, 2007.
11. Pergamenshchikov, S. M. (with Galthouk, L.) Adaptive asymptotically ecient estimation in heteroscedastic nonparametric regression via model selection. - Preprint, 2008,
12. Pergamenshchikov, S. M. (Konev, V.) Non-parametric estimation in a semimartingale regression model. Part 1. Oracle Inequalities. - Preprint, 2009
13. Pergamenshchikov, S. M. (Konev, V.) Non-parametric estimation in a semimartingale regression model. Part 2. Robust asymptotic eciency. - Preprint, 2009,
14. Pergamenshchikov, S. M. (with Galthouk, L.) Geometric ergodicity for families of homogeneous Markov chains. - Preprint, 2010,
15. Pergamenshchikov, S. M. (with Chouaf, B.) Optimal investment with bounded VaR for power utility functions. - Preprint, 2010,
16. Pergamenshchikov, S. M. (with Konev, V.) Efficient robust nonparametric estimation in a semimartingale regression model. - Preprint, 2010,
17. Pergamenshchikov, S. M. (with Berdjane, B.) Optimal consumption and investment for markets with randoms coecients. Preprint, 2011,
18. Pergamenshchikov, S. M. (with Galthouk, L.) Uniform concentration inequality for ergodic diffusion processes observed at discrete times. - Preprint, 2011,
19. Pergamenshchikov, S. M. (with Galthouk, L.) Efficient pointwise estimation basedon discrete data in ergodic nonparametric diffusions - Preprint, 2012,
20. Pergamenshchikov, S. M. (with Galthouk, L.) Geometric ergodicity for families of homogeneous Markov chains. - Preprint, Version 2, 2012
21. Pergamenshchikov, S. M. (with Berdjane. B.) Sequential $\delta$-optimal consumption and investment for stochastic volatility markets with unknown parameters. - Preprint, 2012
22. Pergamenshchikov, S. M. (with Nguyen, T.) Approximate hedging problem with transaction costs in stochastic volatility markets.- Preprint, 2012