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and Proposals
Robert S. Liptser
Articles in Scholarly Journals [Incomplete List]
FCLT and MDP for Stochastic Lotka–Volterra Model
Acta Applicandae Mathematicae, vol. 97, no. 1-3, pp. 53–68, 2007
On-line Tracking of a Smooth Regression Function
Statistical Inference for Stochastic Processes, vol. 9, no. 1, pp. 17–30, 2006
On Estimation of Volatility Surface and Prediction of Future Spot Volatility
Applied Mathematical Finance, vol. 13, no. 3, pp. 245–263, 2006
A filtering approach to tracking volatility from prices observed at random times
The Annals of Applied Probability, vol. 16, no. 3, pp. 1633–1652, 2006
MDP for integral functionals of fast and slow processes with averaging
Stochastic Processes and their Applications, vol. 115, no. 7, pp. 1187–1207, 2005
Tracking Volatility
Problems of Information Transmission, vol. 41, no. 3, pp. 212–229, 2005
Asymptotic Stability of the Wonham Filter: Ergodic and Nonergodic Signals
SIAM Journal on Control and Optimization, vol. 43, no. 2, p. 643, 2004
On Existence of Limiting Distribution for Time-Nonhomogeneous Countable Markov Process
Queueing Systems, vol. 46, no. 3/4, pp. 353–361, 2004
Stability of nonlinear filters in nonmixing case
The Annals of Applied Probability, vol. 14, no. 4, pp. 2038–2056, 2004
Acta Applicandae Mathematicae, vol. 78, no. 1/3, pp. 201–206, 2003
Online Estimation of a Smooth Regression Function
Theory of Probability and Its Applications, vol. 47, no. 3, p. 541, 2003
Filtering of Nonlinear Stochastic Feedback Systems
SIAM Journal on Control and Optimization, vol. 40, no. 5, p. 1576, 2002
Markovianity of a subset of components of a Markov process
Systems & Control Letters, vol. 46, no. 4, pp. 237–242, 2002
On diffusion approximation with discontinuous coefficients
Stochastic Processes and their Applications, vol. 102, no. 2, pp. 235–264, 2002
On estimation of time dependent spatial signal in Gaussian white noise
Stochastic Processes and their Applications, vol. 96, no. 1, pp. 161–175, 2001
Asymptotic Analysis and Extinction in a Stochastic Lotka-Volterra Model
The Annals of Applied Probability, vol. 11, no. 4, pp. 1263–1291, 2001
Statistical Inference for Stochastic Processes, vol. 3, no. 3, pp. 225–249, 2000
An Example of Large Deviations for a Stationary Process
Theory of Probability and Its Applications, vol. 44, no. 1, p. 201, 2000
Diffusion Approximation and Optimal Stochastic Control
Theory of Probability and Its Applications, vol. 44, no. 4, p. 669, 2000
Deviation probability bound for martingales with applications to statistical estimation
Statistics & Probability Letters, vol. 46, no. 4, pp. 347–357, 2000
Moderate deviations for randomly perturbed dynamical systems
Stochastic Processes and their Applications, vol. 80, no. 2, pp. 157–176, 1999
Nonlinear filtering problem with contamination
The Annals of Applied Probability, vol. 7, no. 4, pp. 917–934, 1997
Tracking of signal and its derivatives in Gaussian white noise
Stochastic Processes and their Applications, vol. 69, no. 2, pp. 259–273, 1997
Fixed lag smoothing of scalar diffusions. Part I. The filtering-smoothing equation
Stochastic Processes and their Applications, vol. 64, no. 2, pp. 237–255, 1996
Large deviations for two scaled diffusions
Probability Theory and Related Fields, vol. 106, no. 1, pp. 71–104, 1996
SIAM Journal on Control and Optimization, vol. 34, no. 1, Article ID 0334007, 1996
Nonlinear filters for linear models (a robust approach)
IEEE Transactions on Information Theory, vol. 41, no. 4, pp. 1001–1009, 1995
Limit non-stationary behavior of large closed queueing networks with bottlenecks
Queueing Systems, vol. 14, no. 1-2, pp. 33–55, 1993
On diffusion approximations for filtering
Stochastic Processes and their Applications, vol. 38, no. 2, pp. 205–238, 1991
On the variation distance for probability measures defined on a filtered space
Probability Theory and Related Fields, vol. 71, no. 1, pp. 19–35, 1986
On contiguity of probability measures corresponding to semimartingales
Analysis Mathematica, vol. 11, no. 2, pp. 93–124, 1985
On convergence in variation of the distributions of multivariate point processes
Zeitschrift f�r Wahrscheinlichkeitstheorie und Verwandte Gebiete, vol. 63, no. 4, pp. 475–485, 1983
On a problem of necessary and sufficient conditions in the functional central limit theorem for local martingales
Zeitschrift f�r Wahrscheinlichkeitstheorie und Verwandte Gebiete, vol. 59, no. 3, pp. 311–318, 1982