A. Barbour, N. Ross, Y. Wen. Central moment inequalities using Stein’s method. Electronic Journal of Probability, 25, 1-21, 2020. doi: 10.1214/20-ejp493.
A. Barbour, P. Braunsteins, N. Ross. Local limit theorems for occupancy models. Random Structures and Algorithms, 58, 3-33, 2020. doi: 10.1002/rsa.20967.
A. Barbour, Adrian Roellin, N. Ross. Error bounds in local limit theorems using Stein's method. BERNOULLI, 25, 1076-1104, 2019. doi: 10.3150/17-BEJ1013.
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.
Alok K Shah, Gunter Hertel, Ian Brown, Clay Winterford, Renhua Na, Kim-Anh Le Cao, Bradley A Spicer, Michelle A Dunstone, Wayne A Phillips, Reginald Lord, A. Barbour, David Watson, Virendra Joshi, David C Whiteman, Michelle M Hill, G Hartel, KA Lê Cao, K. Le-Cao. Evaluation of serum glycoprotein biomarker candidates for detection of esophageal adenocarcinoma and surveillance of barrett’s esophagus. Molecular and Cellular Proteomics, 17, 2324-2334, 2018. doi: 10.1074/mcp.RA118.000734.
Alok K Shah, Kim-Anh Le Cao, Eunju Choi, David Chen, Benoit Gautier, Derek Nancarrow, David C Whiteman, Peter R Baker, Karl R Clauser, Robert J Chalkley, Nicholas A Saunders, A. Barbour, Virendra Joshi, Michelle M Hill, Kim-Anh Lê Cao, K. Le-Cao. Glyco-centric lectin magnetic bead array (LeMBA) − proteomics dataset of human serum samples from healthy, Barrett׳s esophagus and esophageal adenocarcinoma individuals. Data in brief, 7, 1058-1062, 2016. doi: 10.1016/j.dib.2016.03.081.
A. Barbour, M. Luczak. Individual and patch behaviour in structured metapopulation models.. Journal of mathematical biology, 71, 713-733, 2015. doi: 10.1007/s00285-014-0834-3.
A. Barbour, M. Luczak. A law of large numbers approximation for Markov population processes with countably many types. Probability Theory and Related Fields, 153, 727-757, 2012. doi: 10.1007/s00440-011-0359-2.
A. Barbour, M. Luczak. Central limit approximations for Markov population processes with countably many types. Electronic Journal of Probability, 17, 1-16, 2012. doi: 10.1214/EJP.v17-1760.
A. Barbour, M. Luczak. Laws of large numbers for epidemic models with countably many types. The Annals of Applied Probability, 18, 2208-2238, 2008. doi: 10.1214/08-AAP521.
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.
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.
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.
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.
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.
A. Barbour, A. Xia. Poisson perturbations. ESAIM - Probability and Statistics, 3, 131-150, 1999. doi: 10.1051/ps:1999106.