2020
Chen, A., Wu, X., & Zhang, J. (2020). Markovian bulk-arrival and bulk-service queues with general state-dependent control. Queueing Systems, 95(3-4), 331-378. doi:10.1007/s11134-020-09660-0DOI: 10.1007/s11134-020-09660-0
2013
Decay parameter and invariant measures for Markovian bulk-arrival queues with control at idle time. (Journal article)
Li, J., & Chen, A. (2010). Decay parameter and invariant measures for Markovian bulk-arrival queues with control at idle time.. Methodology & Computing in Applied Probability, (Accept).
The Decay Parameter and Invariant Measures for Markovian Bulk-Arrival Queues with Control at Idle Time (Journal article)
Junping, L., & Anyue, C. (2013). The Decay Parameter and Invariant Measures for Markovian Bulk-Arrival Queues with Control at Idle Time. Methodology and Computing in Applied Probability, 15(2), 467-484. doi:10.1007/s11009-011-9252-9DOI: 10.1007/s11009-011-9252-9
2012
Asymptotic Properties of the Markov Branching Process with Immigration (Journal article)
Li, J., Chen, A., & Pakes, A. G. (2012). Asymptotic Properties of the Markov Branching Process with Immigration. Journal of Theoretical Probability, 25(1), 122-143. doi:10.1007/s10959-010-0301-zDOI: 10.1007/s10959-010-0301-z
Asymptotic properties of the Markov branching process with immigration (Journal article)
Li, J., Pakes, A., & Chen, A. (2010). Asymptotic properties of the Markov branching process with immigration. Journal of Theoretic Probability, (Accept).
Extinction Probability of Interacting Branching Collision Processes (Journal article)
Chen, A., Li, J., Chen, Y., & Zhou, D. (2012). Extinction Probability of Interacting Branching Collision Processes. Advances in Applied Probability, 44(1), 226-259. doi:10.1239/aap/1331216651DOI: 10.1239/aap/1331216651
2010
The Strong Law of Large Numbers for Extended Negatively Dependent Random Variables (Journal article)
Chen, Y., Chen, A., & Ng, K. W. (2010). The Strong Law of Large Numbers for Extended Negatively Dependent Random Variables. Journal of Applied Probability, 47(4), 908-922. doi:10.1239/jap/1294170508DOI: 10.1239/jap/1294170508
The strong law of large number for extended negatively dependent random variables (Journal article)
Chen, Y., Ng, K., & Chen, A. (2010). The strong law of large number for extended negatively dependent random variables. Journal of Applied Probability, (Vol. 4), 908-922.
Decay properties and quasi-stationary distributions for stopped Markovian bulk-arrival and bulk-service queues (Journal article)
Chen, A., Li, J., Hou, Z., & Ng, K. W. (2010). Decay properties and quasi-stationary distributions for stopped Markovian bulk-arrival and bulk-service queues. Queueing Systems, 66(3), 275-311. doi:10.1007/s11134-010-9194-xDOI: 10.1007/s11134-010-9194-x
Uniqueness, Extinction and Explosivity of Generalised Markov Branching Processes with Pairwise Interaction (Journal article)
Chen, A., Pollett, P., Li, J., & Zhang, H. (2010). Uniqueness, Extinction and Explosivity of Generalised Markov Branching Processes with Pairwise Interaction. Methodology and Computing in Applied Probability, 12(3), 511-531. doi:10.1007/s11009-009-9121-yDOI: 10.1007/s11009-009-9121-y
Markovian bulk-arrival and bulk-service queues with state-dependent control (Journal article)
Chen, A., Pollett, P., Li, J., & Zhang, H. (2010). Markovian bulk-arrival and bulk-service queues with state-dependent control. Queueing Systems, 64(3), 267-304. doi:10.1007/s11134-009-9162-5DOI: 10.1007/s11134-009-9162-5
Decay properties and quasistationary distributions for stopped Markovian bulk-arrival and bulk-service queues (Journal article)
Chen, A., L, J., Hou, Z., & Ng, K. (2010). Decay properties and quasistationary distributions for stopped Markovian bulk-arrival and bulk-service queues. Queueing Systems, 66(3), 275-311. doi:10.1007/s11134-010-9194/xDOI: 10.1007/s11134-010-9194/x
Uniqueness and extinction properties of interacting branching collision processes (Journal article)
Chen, A., Chen, Y., & Li, J. (2010). Uniqueness and extinction properties of interacting branching collision processes. advances in Applied Probability, (Submit).
2009
General collision branching processes with two parameters (Journal article)
Chen, A., & Li, J. (2009). General collision branching processes with two parameters. Science in China Series A: Mathematics, 52(7), 1546-1568. doi:10.1007/s11425-009-0129-0DOI: 10.1007/s11425-009-0129-0
2008
Decay property of stopped Markovian bulk-arriving queues (Journal article)
Li, J., & Chen, A. (2008). Decay property of stopped Markovian bulk-arriving queues. Advances in Applied Probability, 40(1), 95-121. doi:10.1239/aap/1208358888DOI: 10.1239/aap/1208358888
Existence, Uniqueness and Ergodicity of Markov Branching Processes with Immigration and Instantaneous Resurrection (Journal article)
Li, J., & Chen, A. (2008). Existence, Uniqueness and Ergodicity of Markov Branching Processes with Immigration and Instantaneous Resurrection. Science in China, 51(4).
Probability Approach in Weighted Markov Branching Processes (Journal article)
Chen, A., Li, J., & Ramesh, N. I. (2008). Probability Approach in Weighted Markov Branching Processes. Statistics and Probability Letters, 76(6), 771-779.
2007
A Remark on the Uniqueness of Weighted Markov Branching Processes (Journal article)
Chen, A., Pollett, P., Li, J., & Zhang, H. (2007). A Remark on the Uniqueness of Weighted Markov Branching Processes. Journal of Applied Probability, 44(1), 279-283. doi:10.1239/jap/1175267178DOI: 10.1239/jap/1175267178
2006
General Harris regularity criterion for non-linear Markov branching processes (Journal article)
Chen, A., Li, J., & Ramesh, N. I. (2006). General Harris regularity criterion for non-linear Markov branching processes. Statistics & Probability Letters, 76(5), 446-452. doi:10.1016/j.spl.2005.08.014DOI: 10.1016/j.spl.2005.08.014
Markov branching processes with immigration and resurrection (Journal article)
Li, J., & Chen, A. (2006). Markov branching processes with immigration and resurrection. Markov Processes and Related Fields, 12, 139-168.
2005
Uniqueness criteria for continuous-time Markov chains with general transition structures (Journal article)
Chen, A., Pollett, P., Zhang, H., & Cairns, B. (2005). Uniqueness criteria for continuous-time Markov chains with general transition structures. Advances in Applied Probability, 37(4), 1056-1074. doi:10.1239/aap/1134587753DOI: 10.1239/aap/1134587753
Uniqueness and extinction of weighted Markov branching process (Journal article)
Chen, A., Li, J., & Ramesh, N. I. (2005). Uniqueness and extinction of weighted Markov branching process. Methodology and Computing in Applied Probability, 7, 486-516.
2004
The collision branching process (Journal article)
Chen, A., Pollett, P., Zhang, H., & Li, J. (2004). The collision branching process. Journal of Applied Probability, 41(4), 1033-1048. doi:10.1239/jap/1101840549DOI: 10.1239/jap/1101840549
Markovian bulk-arriving queues with state-dependent control at idle time (Journal article)
Chen, A., & Renshaw, E. (2004). Markovian bulk-arriving queues with state-dependent control at idle time. Advances in Applied Probability, 36(2), 499-524. doi:10.1239/aap/1086957583DOI: 10.1239/aap/1086957583
Birth-death processes with disaster and instantaneous resurrection (Journal article)
Chen, A., Zhang, H., Liu, K., & Rennolls, K. (2004). Birth-death processes with disaster and instantaneous resurrection. Advances in Applied Probability, 36(01), 267-292. doi:10.1017/s0001867800012969DOI: 10.1017/s0001867800012969
Birth-death processes with disaster and instantaneous resurrection (Journal article)
Chen, A., Zhang, H., Liu, K., & Rennolls, K. (2004). Birth-death processes with disaster and instantaneous resurrection. Advances in Applied Probability, 36(1), 267-292. doi:10.1239/aap/1077134473DOI: 10.1239/aap/1077134473
2003
Birth-death processes with an instantaneous reflection barrier (Journal article)
Chen, A., & Liu, K. (2003). Birth-death processes with an instantaneous reflection barrier. Journal of Applied Probability, 40(01), 163-179. doi:10.1017/s0021900200022324DOI: 10.1017/s0021900200022324
Birth-death processes with an instantaneous reflection barrier (Journal article)
Chen, A., & Liu, K. (2003). Birth-death processes with an instantaneous reflection barrier. Journal of Applied Probability, 40(1), 163-179. doi:10.1239/jap/1044476833DOI: 10.1239/jap/1044476833
2002
Ergodicity and stability of generalised Markov branching processes with resurrection (Journal article)
Chen, A. (2002). Ergodicity and stability of generalised Markov branching processes with resurrection. Journal of Applied Probability, 39(4), 786-803. doi:10.1239/jap/1037816019DOI: 10.1239/jap/1037816019
Uniqueness and extinction properties of generalised Markov branching processes (Journal article)
Chen, A. (2002). Uniqueness and extinction properties of generalised Markov branching processes. Journal of Mathematical Analysis and Applications, 274(2), 482-494. doi:10.1016/s0022-247x(02)00251-2DOI: 10.1016/s0022-247x(02)00251-2
Piece-wise birth-death processes (Journal article)
Chen, A., & Liu, K. (2002). Piece-wise birth-death processes. Markov Processes and Related Fields, 8.
2001
Strong ergodicity of monotone transition functions (Journal article)
Zhang, H., Chen, A., Lin, X., & Hou, Z. (2001). Strong ergodicity of monotone transition functions. Statistics & Probability Letters, 55(1), 63-69. doi:10.1016/s0167-7152(01)00130-4DOI: 10.1016/s0167-7152(01)00130-4
Applications of Feller–Reuter–Riley Transition Functions (Journal article)
Chen, A. (2001). Applications of Feller–Reuter–Riley Transition Functions. Journal of Mathematical Analysis and Applications, 260(2), 439-456. doi:10.1006/jmaa.2000.7466DOI: 10.1006/jmaa.2000.7466
A Class of generalized Lévy Laplacians in infinite dimensional calculus (Journal article)
Liu, K., & Chen, A. (2001). A Class of generalized Lévy Laplacians in infinite dimensional calculus. Israel Journal of Mathematics, 124(1), 157-176. doi:10.1007/bf02772613DOI: 10.1007/bf02772613
Moment decay rates of solutions of stochastic differential equations (Journal article)
Liu, K., & Chen, A. (2001). Moment decay rates of solutions of stochastic differential equations. Tohoku Mathematical Journal, 53(1). doi:10.2748/tmj/1178207532DOI: 10.2748/tmj/1178207532
2000
Existence, recurrence and equilibrium properties of Markov branching processes with instantaneous immigration (Journal article)
Chen, A., & Renshaw, E. (2000). Existence, recurrence and equilibrium properties of Markov branching processes with instantaneous immigration. Stochastic Processes and their Applications, 88(2), 177-193. doi:10.1016/s0304-4149(99)00125-8DOI: 10.1016/s0304-4149(99)00125-8