Publications

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  • Tianshu Cong, A. Xia, Fuxi Zhang. A large sample property in approximating the superposition of i.i.d. finite point processes. Stochastic Processes and their Applications, 130, 4493-4511, 2020. doi: 10.1016/j.spa.2020.01.006.

  • Qingwei Liu, A. Xia. On moderate deviations in Poisson approximation. Journal of Applied Probability, 57, 1005-1027, 2020. doi: 10.1017/jpr.2020.47.

  • A. Barbour, A. Xia. Multivariate approximation in total variation using local dependence. Electronic Journal of Probability, 24, 2019. doi: 10.1214/19-EJP284.

  • A. Barbour, M. Luczak, A. Xia. Multivariate approximation in total variation, II: Discrete normal approximation. Annals of Probability, 46, 1405-1440, 2018. doi: 10.1214/17-AOP1205.

  • A. Barbour, M. Luczak, A. Xia. Multivariate approximation in total variation, I: Equilibrium distributions of Markov jump processes. Annals of Probability, 46, 1351-1404, 2018. doi: 10.1214/17-AOP1204.

  • H Paul Keeler, N. Ross, A. Xia. When do wireless network signals appear Poisson?. Bernoulli, 24, 1973-1994, 2018. doi: 10.3150/16-BEJ917.

  • Robert G Staudte, A. Xia. Divergence from, and convergence to, uniformity of probability density quantiles. Entropy, 20, 317 (10pp), 2018. doi: 10.3390/e20050317.

  • P. Keeler, N. Ross, A. Xia, Bartlomiej Blaszczyszyn. Stronger Wireless Signals Appear More Poisson. IEEE Wireless Communications Letters, 5, 572-575, 2016. doi: 10.1109/LWC.2016.2601913.

  • A. Xia, JE Yukich. Normal Approximation for Statistics of Gibbsian Input in Geometric Probability. Advances in Applied Probability, 47, 934-972, 2015. doi: 10.1017/S0001867800048965.

  • AD Barbour, HL Gan, A. Xia. Stein factors for negative binomial approximation in Wasserstein distance. Bernoulli, 21, 1002-1013, 2015. doi: 10.3150/14-BEJ595.

  • H. Gan, A. Xia. Stein's method for conditional compound Poisson approximation. Statistics & Probability Letters, 100, 19-26, 2015. doi: 10.1016/j.spl.2015.01.033.

  • Han Liang Gan, A. Xia. Conditional distribution approximation and Stein's method. 2014.

  • S. Novak, A. Xia. On exceedances of high levels. Stochastic Processes and their Applications, 122, 582-599, 2012. doi: 10.1016/j.spa.2011.09.003.

  • A. Xia, F. Zhang. On the asymptotics of locally dependent point processes. Stochastic Processes and their Applications, 122, 3033-3065, 2012. doi: 10.1016/j.spa.2012.05.011.

  • W Zhu, W Wen, Y. He, A. Xia, KJ Anstey, P Sachdev. Changing topological patterns in normal aging using large-scale structural networks. Neurobiology of Aging, 33, 899-913, 2012. doi: 10.1016/j.neurobiolaging.2010.06.022.

  • L. Goldstein, A. Xia. Clubbed Binomial Approximation for the Lightbulb Process. 205, 31-43, Springer Science+Business Media, 2012. doi: 10.1007/978-1-4614-1966-2_3.

  • W Wen, W Zhu, Y. He, NA Kochan, S Reppermund, MJ Slavin, H Brodaty, J Crawford, A. Xia, P Sachdev. Discrete neuroanatomical networks are associated with specific cognitive abilities in old age. Journal of Neuroscience, 31, 1204-1212, 2011. doi: 10.1523/JNEUROSCI.4085-10.2011.

  • L. Chen, A. Xia. Poisson process approximation for dependent superposition of point processes. Bernoulli, 17, 530-544, 2011. doi: 10.3150/10-BEJ290.

  • Y. Chen, A. Xia. The wasted vote phenomenon with uncertain voter population. Social Choice and Welfare, 37, 471-492, 2011. doi: 10.1007/s00355-010-0500-7.

  • S. Tan, A. Xia. On customer flows in Jackson queuing networks. Advances in Applied Probability, 42, 1094-1101, 2010. doi: 10.1239/aap/1293113152.

  • A. Xia, F. Zhang. Polynomial birth-death distribution approximation in the Wasserstein distance. Journal of Theoretical Probability, 22, 294-310, 2009. doi: 10.1007/s10959-008-0207-1.

  • A. Xia, M. Zhang. On approximation of Markov binomial distributions. Bernoulli, 15, 1335-1350, 2009. doi: 10.3150/09-BEJ194.

  • A. Xia, F. Zhang. A polynomial birth-death point process approximation to the Bernoulli process. Stochastic Processes and their Applications, 118, 1254-1263, 2008. doi: 10.1016/j.spa.2007.08.002.

  • Wang, A. Xia. On negative binomial approximation to k-runs. Journal of Applied Probability, 45, 456-471, 2008. doi: 10.1239/jap/1214950360.

  • Schuhmacher, A. Xia. A new metric between distributions of point processes. Advances in Applied Probability, 40, 651-672, 2008. doi: 10.1239/aap/1222868180.

  • A. Xia. Point processes characterized by their one dimensional distributions (vol 128, pg 467, 2004). Probability Theory and Related Fields, 138, 323 (1pp), 2007. doi: 10.1007/s00440-006-0017-2.

  • A. Barbour, V Cekanavicius, A. Xia. On Stein's Method and perturbations. Alea - Latin American journal of Probability and Mathematical Statistics, 3, 31-53, 2007.

  • L. Goldstein, A. Xia. Zero biasing and a discrete central limit theorem. Annals of Probability, 34, 1782-1806, 2006. doi: 10.1214/009117906000000250.

  • A. Barbour, A. Xia. Normal approximation for random sums. Advances in Applied Probability, 38, 693-728, 2006. doi: 10.1239/aap/1158684998.

  • A. Barbour, A. Xia. On Stein's factors for Poisson approximation in Wasserstein distance. Bernoulli, 12, 943-954, 2006. doi: 10.3150/bj/1165269145.

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

  • M Leung, KP Choi, A. Xia, L. Chen, PC Kwok. Nonrandom Clusters of Palindromes in Herpesvirus Genomes. Journal of Computational Biology, 12, 331-354, 2005. doi: 10.1089/cmb.2005.12.331.

  • L. Chen, A. Xia. Poisson process approximation: From Palm theory to Stein's Method. IMS Lecture Notes - Monograph Series Time Series and related topics, 52, 236-244, 2005.

  • A. Xia. Stein's method and Poisson process approximation. 4, 115-181, World Scientific Publishing Co, 2005.

  • A. Xia. Point processes characterized by their one dimensional distributions. Probability Theory and Related Fields, 128, 467-474, 2004. doi: 10.1007/s00440-003-0314-y.

  • L. Chen, A. Xia. Stein's method, palm theory and poisson process approximation. Annals of Probability, 32, 2545-2569, 2004. doi: 10.1214/009117904000000027.

  • A. Xia. Stein's method for compound Poisson approximation via immigration-death processes. Stein's Method and Applications, 5, 85-102, 2003.

  • A. Barbour, S. Novak, A. Xia. Compound Poisson approximation for the distribution of extremes. Advances in Applied Probability, 34, 223-240, 2002. doi: 10.1017/S0001867800011472.

  • KP Choi, A. Xia. Approximating the number of successes in independent trials: binomial versus poisson. Annals of Applied Probability, 12, 1139-1148, 2002. doi: 10.1214/aoap/1037125856.

  • 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.

  • A. Barbour, S. Novak, A. Xia. Compound Poisson approximation for the distribution of extremes. Advances in Applied Probability, 34, 223-240, 2002. doi: 10.1239/aap/1019160958.

  • A. Barbour, A. Xia. The number of two-dimensional maxima. Advances in Applied Probability, 33, 727-750, 2001. doi: 10.1017/S0001867800011150.

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

  • A. Barbour, A. Xia. The number of two-dimensional maxima. Advances in Applied Probability, 33, 727-750, 2001. doi: 10.1239/aap/1011994025.

  • A. Barbour, A. Xia. Estimating Stein's constants for compound Poisson approximation. Bernoulli, 6, 581-590, 2000.

  • 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.

  • A. Xia. Poisson approximation, compensators and coupling. Stochastic Analysis and Applications, 18, 159-177, 2000. doi: 10.1080/07362990008809661.

  • A. Xia. A probabilistic proof of Stein’s factors. Journal of Applied Probability, 36, 287-290, 1999. doi: 10.1239/jap/1032374250.

  • A. Barbour, A. Xia. Poisson perturbations. ESAIM - Probability and Statistics, 3, 131-150, 1999. doi: 10.1051/ps:1999106.

  • W Wen, A. Xia. Verifying edges for visual inspection purposes. Pattern Recognition Letters, 20, 315-328, 1999. doi: 10.1016/S0167-8655(98)00150-0.

  • A. Xia. A probabilistic proof of Stein's factors. Journal of Applied Probability, 36, 287-290, 1999. doi: 10.1017/S0021900200017058.

  • 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.

  • A. Xia. On the rate of poisson process approximation to a Bernoulli process. Journal of Applied Probability, 34, 898-907, 1997. doi: 10.1017/S0021900200101603.

  • A. Xia. On using the first difference in the Stein-Chen method. Annals of Applied Probability, 7, 899-916, 1997.

  • S He, A. Xia. On Poisson approximation to the partial sum process of a Markov chain. Stochastic Processes and their Applications, 68, 101-111, 1997. doi: 10.1016/S0304-4149(97)00022-7.

  • A. Xia. On the rate of Poisson process approximation to a Bernoulli process. Journal of Applied Probability, 34, 898-907, 1997. doi: 10.2307/3215005.

  • 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.