Long time asymptotics for constrained diffusions in polyhedral domains
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- Martin I. Reiman, 1984. "Open Queueing Networks in Heavy Traffic," Mathematics of Operations Research, INFORMS, vol. 9(3), pages 441-458, August.
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- Zheng Han & Yaozhong Hu & Chihoon Lee, 2016. "Optimal pricing barriers in a regulated market using reflected diffusion processes," Quantitative Finance, Taylor & Francis Journals, vol. 16(4), pages 639-647, April.
- Amarjit Budhiraja & Jiang Chen & Sylvain Rubenthaler, 2014. "A Numerical Scheme for Invariant Distributions of Constrained Diffusions," Mathematics of Operations Research, INFORMS, vol. 39(2), pages 262-289, May.
- Biswas, Anup & Budhiraja, Amarjit, 2011. "Exit time and invariant measure asymptotics for small noise constrained diffusions," Stochastic Processes and their Applications, Elsevier, vol. 121(5), pages 899-924.
- Andrey Sarantsev, 2017. "Reflected Brownian Motion in a Convex Polyhedral Cone: Tail Estimates for the Stationary Distribution," Journal of Theoretical Probability, Springer, vol. 30(3), pages 1200-1223, September.
- Yaozhong Hu & Chihoon Lee & Myung Lee & Jian Song, 2015. "Parameter estimation for reflected Ornstein–Uhlenbeck processes with discrete observations," Statistical Inference for Stochastic Processes, Springer, vol. 18(3), pages 279-291, October.
- Amarjit Budhiraja & Xin Liu, 2012. "Stability of Constrained Markov-Modulated Diffusions," Mathematics of Operations Research, INFORMS, vol. 37(4), pages 626-653, November.
- Itai Gurvich, 2014. "Validity of Heavy-Traffic Steady-State Approximations in Multiclass Queueing Networks: The Case of Queue-Ratio Disciplines," Mathematics of Operations Research, INFORMS, vol. 39(1), pages 121-162, February.
- Lee, Chihoon, 2012. "Bounds on exponential moments of hitting times for reflected processes on the positive orthant," Statistics & Probability Letters, Elsevier, vol. 82(6), pages 1120-1128.
- Wenpin Tang, 2019. "Exponential ergodicity and convergence for generalized reflected Brownian motion," Queueing Systems: Theory and Applications, Springer, vol. 92(1), pages 83-101, June.
- Jose Blanchet & Xinyun Chen, 2020. "Rates of Convergence to Stationarity for Reflected Brownian Motion," Mathematics of Operations Research, INFORMS, vol. 45(2), pages 660-681, May.
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Keywords
Semimartingale reflecting Brownian motion [phi]-Irreducibility V-Uniform ergodicity Geometric ergodicity Constrained diffusions Heavy traffic Poisson equation Moment stability Functional central limit theorems;Statistics
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