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1. Parameter Estimation in Stochastic Differential Equations
Softcover ISBN: 978-3-540-74447-4 eBook ISBN: 978-3-540-74448-1
DOI: 10.1007/978-3-540-74448-1 Lecture Notes in Mathematics Series
Volume 1923 (2008) Springer-Verlag Zentralblatt Math Review
Core Titles in: Probability Theory and Stochastic Processes; Quantitative Finance; Statistical Theory and Methods; Analysis; Numerical Analysis; Computational Science and Engineering; Game Theory, Economics, Social and Behavioral Sciences. WorldCatalog Amazon.com Amazon.co.uk Amazon.fr Amazon.de
Book Performance Reports: 2012; 2013; 2014; 2016;
2017; (26,613 chapter downloads till 2017)
2. Parameter Estimation in Stochastic Volatility Models
(To be published by Springer Nature Switzerland AG
May 2021 [600 pages], Under Contract.)
PAPERS
44. A new algorithm for approximate maximum likelihood estimation in sub-fractional Chan-Karloyi-Longstaff-Sanders model, Asian Journal of Probability and Statistics 13(3) (2021), 62-88.
43. Bernstein-von Mises theorem and small noise asymptotics of Bayes estimators for parabolic stochastic partial differential equations, Theory of Stochastic Processes 23 (1) (2018), 6-17.
42. Sequential maximum likelihood estimation in nonlinear non-Markov diffusion type processes, Dynamic Systems and Applications 27 (1) (2018), 107-124.
41. Robust estimation in Gompertz diffusion model of tumor growth, Open Access Biostatistics and Bioinformatics 1 (5) (2018), 1-5.
40. Conditional least squares estimation for discretely sampled nonergodic diffusions, Asian Research Journal of Mathematics 7 (4) (2017), 1-18.
39. Maximum likelihood estimation in nonlinear fractional stochastic volatility model, Asian Research Journal of Mathematics 6 (2) (2017), 1-11.
38. Valuation of real options under persistent shocks, Journal of Statistics and Management Systems 20 (5) (2017), 801-815.
37. Hypothesis testing for fractional stochastic partial differential equations (fSPDEs) with applications to neurophysiology and finance, Asian Research Journal of Mathematics 4 (1) (2017), 1-24.
36. Nonparametric estimation of Heath-Jarrow-Morton term structure models driven by fractional Levy processes using local time, (2016).
35. Method of moments estimation in Gamma-Ornstein-Uhlenbeck stochastic volatility model, (2015).
34. Parameter estimation for SPDEs with non-commuting operators based on discrete sampling, (2014).
33. Martingale estimation function for Poissonly observed stochastic partial differential equations, (2013).
32. Sequential maximum likelihood estimation for reflected Ornstein-Uhlenbeck processes (with Chihoon Lee and Myung Lee), Journal of Statistical Planning and Inference 142 (5) (2012), 1234-1242.
31. Stochastic moment problem and hedging of generalized Black-Scholes options, Applied Numerical Mathematics 61 (12) (2011), 1271-1280.
30. Minimum contrast estimation in fractional Ornstein-Uhlenbeck process: continuous and discrete sampling, Fractional Calculus and Applied Analysis 14 (3) (2011), 375-410.
29. Berry-Esseen inequalities for discretely observed Ornstein-Uhlenbeck-Gamma process, Markov Processes and Related Fields 17 (1) (2011), 119-150.
28. Maximum quasi-likelihood estimation in fractional Levy stochastic volatility model, Journal of Mathematical Finance 1 (3) (2011), 58-62.
27. Sufficiency and Rao-Blackwellization of Vasicek model, Theory of Stochastic Processes 17 (33) (1) (2011), 12-15.
26. Financial extremes: a short review, Advances and Applications in Statistics 25 (1) (2011), 1-14.
25. Some new estimators of integrated volatility, Open Journal of Statistics 1 (2) (2011), 74-80.
24. Sieve estimator for fractional stochastic partial differential equations, Annals of Constantin Brancusi 5 (1) (2011), 9-18.
23. Estimation in interacting diffusions: continuous and discrete sampling, Applied Mathematics 2 (9) (2011), 1154-1158.
22. Milstein approximation of posterior density for diffusions, International Journal of Pure and Applied Mathematics 68 (4) (2011), 403-414
21. Maximum likelihood estimation in Skrorohod stochastic differential equations, Proceedings of the American Mathematical Society 138 (4) (2010), 1471-1478.
20. Uniform rate of weak convergence of the minimum contrast estimator in the Ornstein-Uhlenbeck process, Methodology and Computing in Applied Probability 12 (3) (2010), 323-334.
19. Conditional least squares estimation in diffusion processes based on Poisson sampling, Journal of Applied Probability and Statistics 5 (2) (2010), 169-180.
18. Sequential Monte Carlo methods for stochastic volatility models: a review, Journal of Interdisciplinary Mathematics 13 (6) (2010), 619-635.
17. M-estimation for discretely sampled diffusions, Theory of Stochastic Processes 15 (31) (2) (2009), 62-83.
16. Berry-Esseen inequalities for discretely observed diffusions, Monte Carlo Methods and Applications 15 (3) (2009), 229-239
15. Large deviations in testing fractional Ornstein Uhlenbeck models, Statistics & Probability Letters 78 (8) (2008), 953-962.
14. Large deviations and Berry-Esseen inequalities for estimators in nonlinear nonhomogeneous diffusions, RevStat – Statistical Journal 5 (3) (2007), 249-267.
13. A new estimating function for discretely sampled diffusions, Random Operators and Stochastic Equations 15 (1) (2007), 65-88.
12. Sequential maximum likelihood estimation in semimartingales, Journal of Statistics and Applications 1 (2-4) (2006), 143-153.
11. Rates of weak convergence of approximate minimum contrast estimators for the discretely observed Ornstein-Uhlenbeck process, Statistics & Probability Letters 76 (13) (2006), 1397-1409.
10. Maximum likelihood estimation in partially observed stochastic differential system driven by a fractional Brownian motion, Stochastic Analysis and Applications 21 (5) (2003), 995-1007.
9. The Bernstein-von Mises theorem and spectral asymptotics of Bayes estimators for parabolic SPDEs, Journal of the Australian Mathematical Society 72 (2) (2002), 287-298.
8. Rates of convergence of approximate maximum likelihood estimators in the Ornstein-Uhlenbeck process, Computers & Mathematics with Applications 42 (1-2) (2001), 23-38 (with Arup Bose).
7. Accuracy of normal approximation for the maximum likelihood and the Bayes estimators in the Ornstein-Uhlenbeck process using random normings, Statistics & Probability Letters 52 (4) (2001), 427-439.
6. Rates of convergence of the posterior distributions and the Bayes estimators in the Ornstein-Uhlenbeck process, Random Operators and Stochastic Equations 8 (1) (2000), 51-70.
5. Sharp Berry-Esseen bound for the maximum likelihood estimator in the Ornstein- Uhlenbeck process, Sankhyā Series A 62 (1), (2000), 1-10.
4. Large deviations inequalities for the maximum likelihood estimator and the Bayes estimators in nonlinear stochastic differential equations, Statistics & Probability Letters 43 (2) (1999), 207-215.
3. Bayes and sequential estimation in Hilbert space valued stochastic differential equations, Journal of the Korean Statistical Society 28 (1) (1999), 96-108.
2. Speed of convergence of the maximum likelihood estimator in the Ornstein-Uhlenbeck process, Calcutta Statistical Association Bulletin 45 (1995), 245-251(with Arup Bose).
1. Approximate maximum likelihood estimation for diffusion processes from discrete observations, Stochastics 52 (1995), 1-13 (with M. N. Mishra).
Technical Report
1. A note on inference in a bivariate normal distribution model (with Edsel Pena) SAMSI Technical Report #2009-3