Aihua Xia

• “The saturated pairwise interaction Gibbs point process as a joint species distribution model” (with Flint, I., Golding, N., Vesk, P., Wang, Y.). Journal of the Royal Statistical Society: Series C (2022), DOI: 10.1111/rssc.12596.
• “Geometric sums, size biasing and zero biasing” (with Q. Liu). Electronic Communications in Probability 27 (2022), 1-13.
• “When is the Conway--Maxwell--Poisson distribution infinitely divisible?” (with X. Geng). Statistics & Probability Letters 181 (2022), 109264.
• “Difference in distribution functions: a new diffusion weighted imaging metric for estimating white matter integrity” (with J. Du, F. C. Koch, J. Jiang, J. D. Crawford, B. C. P. Lam, A. Thalamuthu, T. Lee, N. Kochan, C. Fawns-Ritchie, H. Brodaty, Q. Xu, P. S. Sachdev and W. Wen). NeuroImage 240 (2021), 118381.
• “On Stein's factors for Poisson approximation in Wasserstein distance with non-linear transportation costs” (with Z.-W. Liao and Y. Ma). Journal of Theoretical Probability (2021), https://doi.org/10.1007/s10959-021-01129.
• “Palm theory, random measures and Stein couplings” (with L. H. Y. Chen and A. R\"ollin). Annals of Applied Probability 31 (2021), 2881-2923.
• “A large sample property in approximating the superposition of i. i. d. finite point processes” (with Tianshu Cong and Fuxi Zhang). Stochastic Processes and their Applications 130 (2020), 4493-4511.
• “On Moderate Deviations in Poisson approximation” (with Qingwei Liu). Journal of Applied Probability 57 (2020), 1005-1027.
• “Multivariate approximation in total variation using local dependence” (with A.D. Barbour). Electronic Journal of Probability 24 (2019), paper no. 27, 1-35.
• “Divergence from, and Convergence to, Uniformity of Probability Density Quantiles” (with R. G. Staudte). Entropy 20 (5) (2018), article 317, 1--10.
• “Multivariate approximation in total variation, I: equilibrium distributions of Markov jump processes” (with A.D. Barbour and M. J. Luczak). Annals of Probability 46 (2018), 1351--1404.
• “Multivariate approximation in total variation, II: discrete normal approximation” (with A.D. Barbour and M. J. Luczak). Annals of Probability 46 (2018), 1405--1440.
• “When do wireless network signals appear Poisson?” (with H. P. Keeler and N. Ross). Bernoulli, 24 (2018), 1973--1994.
• “Normal approximation for statistics of Gibbsian input in geometric probability” (with J. E. Yukich). Adv. Appl. Prob., 47 (2015), 1--39.
• “Stein's method for conditional compound Poisson approximation” (with H. L. Gan). Statistics and Probability Letters, 100 (2015), 19--26.
• “Stein factors for negative binomial approximation in Wasserstein distance” (with A. D. Barbour, H. L. Gan). Bernoulli, 21 (2015), 1002--1013.
• “On asymptotics of locally dependent point processes” (with F. Zhang). Stochastic Processes and their Applications, 122 (2012), 3033--3065.
• “On exceedances of high levels” (with S. Novak). Stochastic Processes and their Applications, 122 (2012), 582--599.
• “Clubbed Binomial Approximation for the Lightbulb Process” (with L. Goldstein). Probability Approximations and Beyond, Lecture Notes in Statistics, 205 (2012), 31--41.
• “Changing Topological Patterns in Normal Ageing Using Large-scale Structural Networks” (with W. Zhu, W. Wen, Y. He, K. J. Anstey, P. Sachdev). Neurobiology of Aging, 33 (2012), 899--913.
• “Discrete neuroanatomical networks are associated with specific cognitive abilities in old age” (with W. Wen, W. Zhu, Y. He, N. Kochan, S. Reppermund, M. Slavin, H. Brodaty, J. Crawford and P. Sachdev). Journal of Neuroscience, 31 (2011), 1204--1212.
• “The Wasted Vote Phenomenon with Uncertain Voter Population” (with Y. L. Chen). Social Choice and Welfare, 37 (2011), 471--492.
• “Poisson process approximation for dependent superposition of point processes” (with L. H. Y. Chen). Bernoulli, 17 (2011), 530--544.
• “On customer flows in Jackson queuing networks” (with S. Tan). Advances in Applied Probability, 42 (2010), 1094--1101.
• “On approximation of Markov binomial distributions” (with M. Zhang). Bernoulli, 15 (2009), 1335--1350.
• “Polynomial birth-death distribution approximation in Wasserstein distance” (with F. Zhang). Journal of Theoretical Probability, 22 (2009), 294--310.
• “A new metric between distributions of point processes” (with D. Schuhmacher). Advances in Applied Probability, 40 (2008), 651--672.
• “On negative binomial approximation to $k$-runs” (with X. Wang). Journal of Applied Probability, 45 (2008), 456--471.
• “A polynomial birth-death point process approximation to the Bernoulli process” (with F. Zhang). Stochastic Processes and their Applications, 118 (2008), 1254--1263.
• “On Stein's method and perturbations” (with A. D. Barbour and V. Cekanavicius). Latin American Journal Of Probability And Mathematical Statistics, 3 (2007), 31--53.
• “Normal approximation for random sums” (with A. D. Barbour). Advances in Applied Probability, 38 (2006), 693--728.
• “On Stein's factors for Poisson approximation in Wasserstein distance” (with A. D. Barbour). Bernoulli, 12 (2006), 943--954..
• “Zero Biasing and a Discrete Central Limit Theorem” (with L. Goldstein). Annals of Probability, 34 (2006), 1782--1806.
• “Stein's method and Poisson process approximation”. An Introduction to Stein's Method, Eds. A. D. Barbour and L. H. Y. Chen, World Scientific Press, (2005), 115--181.
• “Stein's method for compound Poisson approximation via immigration-death processes”. Stein's Method and Applications, Eds. A. D. Barbour and L. H. Y. Chen, World Scientific Press (2005), 85--102.
• “Nonrandom Clusters of Palindromes in Herpesvirus Genomes” (with M. Y. Leung, K. P. Choi and L. H. Y. Chen). Journal of Computational Biology, 12 (2005), 331--354.
• “Stein's method, Palm theory and Poisson process approximation” (with L. H. Y. Chen). Annals of Probability, 32 (2004), 2545--2569.
• “Point processes characterized by their one dimensional distributions”. Probab. Theory Related Fields, 128 (2004), 467--474.
• “How many processes have Poisson counts?” (with T. C. Brown). Stochastic Processes and their Applications, 98 (2002), 331--339.
• “Compound Poisson approximation for the distribution of extremes” (with A. D. Barbour and S. Y. Novak). Advances in Applied Probability, 34 (2002), 223-240.
• “Stein's method and birth-death processes” (with T. C. Brown). Annals of Probability, 29 (2001), 1373--1403.
• “The number of two dimensional maxima” (with A. D. Barbour). Advances in Applied Probability, 33 (2001), 727-750.
• “Removing Logarithms from Poisson Process Error Bounds” (with T. C. Brown and G. V. Weinberg). Stochastic processes and their applications, 87 (2000), 149-165.
• “Estimating Stein's constants for compound Poisson approximation” (with A. D. Barbour). Bernoulli, 6 (2000), 581-590.
• “Poisson perturbation” (with A. D. Barbour). European series in Applied and Industrial Mathematics: Probability and Statistics, 3 (1999), 131-150.
• “A Probabilistic Proof of Stein's factors”. Journal of Applied Probability, 36 (1999), 287-290.
• “Verifying Edges for Visual Inspection Purposes” (with W. Wen). Pattern Recognition Letters, 20 (1999), 315-328.
• “Point processes in time and Stein's method” (with A. D. Barbour and T. C. Brown). Stochastics and Stochastics Reports, 65 (1998), 127-151.
• “On the Variance to Mean Ratio for Random Variables from Markov Chains and Point Processes” (with T. C. Brown and K. Hamza). Journal of Applied Probability, 35 (1998), 303-312.
• “On the rate of Poisson process approximation to a Bernoulli processi”. Journal of Applied Probability, 34 (1997), 898--907.
• “On Poisson approximation to the partial sum process of a Markov chain” (with S. W. He). Stochastic Processes and their Applications, 68 (1997), 101--111.
• “On using the first difference in Stein-Chen method”. Annals of Applied Probability, 7 (1997), 899--916.
• “On Metrics in Point Process Approximation” (with T. C. Brown). Stochastics and Stochastics Reports, 52 (1995), 247--263.
• “On Stein-Chen factors for Poisson approximation” (with T. C. Brown). Statistics and Probability Letters, 23 (1995), 327--332.
• “Weak Convergence of Markov Processes with Extended Generators”. Annals of Probability, 22 (1994), 2183--2202.
• “A Note on the Prohorov Distance between a Counting Process and a Poisson Process”. Stochastics and Stochastics Reports, 45 (1993), 61--77.
• “Weak Convergence of Jump Processes”. Seminaire de Probabilites XXVI, Lecture Notes in Mathematics, Springer-Verlag 1526 (1992), 32--46.

Recent Grants

Teaching Responsibilities for 2022

MAST20004 Probability.

The Melbourne-Peking forum 25/08/2015 -- 28/08/2015

Some useful links

ARC Centre of Excellence for Mathematics and Statistics of Complex Systems; The International Statistical Institute; American Mathematical Society.

This page updated on 30/09/2022

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