Research Interests:
- Stochastic analysis
- Stochastic partial
differential equations and their numerical solutions
- Nonlinear filtering theory
and its applications
- Parameter estimation in
nonlinear stochastic systems
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, (PS 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), to
appear in The Proceeding of 2002 IEEE Aerospace Conference.
- Michael A. Kouritzin, Hongwei Long, and
Wei Sun, Nonlinear filtering for diffusions in random environments, (PS 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, (PS 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, (PS
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 Analysis 8 (2004), 167-184.
- Yaozhong
Hu and Hongwei Long, Parameter
estimation for Ornstein-Uhlenbeck processes
driven by stable Levy motions, (PDF file), To appear in Communications on
Stochastic Analysis, 2007.
- Michael A. Kouritzin and Hongwei Long, On extending the classical filtering equations, (PDF file), submitted to
Statistics and Probability Letters,
2007.
- Yaozhong
Hu and Hongwei Long, Least squares
estimator for Ornstein-Uhlenbeck processes driven
by
-stable motions, (PDF file), submitted to Stochastic Processes
and their Applications, 2007.
- Hongwei
Long and Lianfen Qian, Nadaraya-Watson
estimator for stochastic processes driven by additive Levy motions, (PDF file),
submitted to Bernoulli,
2007.
Last modified: April 23 15, 2008