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Hongwei
Long
Associate Professor
Office: SE 268
Phone: (561) 297-0810 Fax: (561) 297-2436
Email: hlong@fau.edu
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Research Interests:
- Stochastic analysis
- Stochastic partial
differential equations and their numerical solutions
- Nonlinear filtering theory
and its applications
- Parameter estimation in
nonlinear stochastic systems
- Mathematical finance
Teaching:
STA
6444: Mathematical Probability (I)
STA 4930/6206: Statistical Methods for Environmental Sciences
Publications : Full list
Recent Papers:
- Michael A. Kouritzin and
Hongwei Long, Convergence of Markov chain approximation to stochastic
reaction diffusion equations, (Word file), The Annals
of Applied Probability 12 (2002), 1039-1070.
- D. Ballantyne,
M.A. Kouritzin, H. Long and W. Sun, Discrete-space particle filters for
reflecting diffusions,
(PS file), The Proceeding of 2002 IEEE Aerospace Conference, Big Sky, MT, March 9-16, 2002.
- Michael A. Kouritzin, Hongwei
Long, and Wei Sun, Nonlinear filtering for diffusions in random
environments, (PDF file),
Journal of Theoretical Probability 16 (2003), 1-20.
- Michael A. Kouritzin, Hongwei
Long, and Wei Sun, On Markov chain approximations to semilinear
partial differential equations driven by Poisson measure noise, (PDF file), Stochastic
Analysis and Applications 21 (2003), 419-441.
- Michael A. Kouritzin, Hongwei
Long, and Wei Sun, Markov chain approximations to filtering equations for
reflecting diffusion processes, (PDF file), Stochastic
Processes and their Applications 110 (2004), 275-294.
- S. Kim, S. Li, H. Long, and
R. Pyke, Analyzing network traffic for malicious
activity, (PDF file), Canadian Applied Math. Quarterly 12 (2004), 479-489.
- Hongwei Long and I. Simao, A note on the
essential self-adjointness of Ornstein-Uhlenbeck operators perturbed by a dissipative drift
and a potential, (PDF file),
Infinite Dimensional Analysis,
Quantum Probability and Realted Topics 7 (2004), 249-259.
- Hongwei Long and I. Simao, Essentail self-adjointness
of Ornstein-Uhlenbeck operators perturbed by
certain drifts and singular potentials, (PDF file), Communications in Applied Analysis8 (2004), 167-184.
- Yaozhong Hu and Hongwei Long,
Parameter estimation for Ornstein-Uhlenbeck
processes driven by stable Levy motions, (PDF file), Communications
on Stochastic Analysis, 1 (2007), 175-192.
- Michael A. Kouritzin and
Hongwei Long, On extending the classical
filtering equations, (PDF file), Statistics and Probability Letters,
78 (2008), 3195-3202.
- Yaozhong Hu and Hongwei Long,
Least squares estimator for Ornstein-Uhlenbeck
processes driven by
-stable motions, (PDF file), Stochastic
Processes and their Applications,
119 (2009), 2465-2480.
- Yaozhong Hu and Hongwei Long, On the
singularity of least squares estimator for mean-reverting
-stable motions,
(PDF file), Acta.
Math. Sci., 29B (2009),
599-608.
- Hongwei Long, Least squares estimator for discretely observed
Ornstein-Uhlenbeck processes with small Levy
noises, (PDF file), Statistics
and Probability Letters, 79
(2009), 2076-2085.
- Hongwei Long, Parameter estimation for a class of stochastic
differential equations driven by small stable noises from discrete
observations, (PDF
file), Acta Mathematica Scientia, 30B (2010), 645-663.
- Zdzislaw Brzezniak, Hongwei Long and Isabel Simao,
Invariant measures for stochastic evolution equations in M-type 2 Banach spaces, (PDF file), Journal
of Evolution Equations, 10 (2010),
785-810.
- A. Bensoussan, H. Long, S. Perera, and S. Sethi,
Impulse control with random reaction periods: A central bank intervention
problem, Operations Research Letters (2012), doi:10.1016/j.orl.2012.06.12
- Hongwei Long and Lianfen
Qian, Nadaraya-Watson estimator for stochastic
processes driven by stable Levy motions, (PDF file). Submitted, 2012.
- H. Long, Y. Shimizu, and W.
Sun, Least squares estimators for discretely observed stochastic processes
driven by small Levy noises, (PDF file). Submitted,
2012.
Last modified: August 13, 2012