Publications

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  • T. Brown, M. Fackrell, A. Xia. Improved Results on Poisson Process Approximation in Jackson Networks. Cosmos, 1, 47-55, 2005. doi: 10.1142/S0219607705000061.

  • A. Xia, T. Brown. How many processes have poisson counts?. Stochastic Processes and their Applications, 98, 331-339, 2002. doi: 10.1016/S0304-4149(01)00150-8.

  • T. Brown, A. Xia. Stein's method and birth-death processes. Annals of Probability, 29, 1373-1403, 2001. doi: 10.1214/aop/1015345606.

  • T. Brown, GV Weinberg, A. Xia. Removing logarithms from Poisson process error bounds. Stochastic Processes and their Applications, 87, 149-165, 2000. doi: 10.1016/S0304-4149(99)00108-8.

  • T. Brown, K. Hamza, A. Xia. On the variance to mean ratio for random variables from Markov chains and point processes. Journal of Applied Probability, 35, 303-312, 1998. doi: 10.1239/jap/1032192849.

  • T. Brown, K. Hamza, A. Xia. On the variance to mean ratio for random variables from Markov chains and point processes. Journal of Applied Probability, 35, 303-312, 1998. doi: 10.1017/S0021900200014960.

  • T. Brown, A. Xia. On Stein-Chen factors for Poisson approximation. Statistics and Probability Letters, 23, 327-332, 1995. doi: 10.1016/0167-7152(94)00131-Q.