Aihua Xia

MY NAME

RESEARCH INTERESTS

• Point processes
• Limit theory in stochastic processes
• Poisson and compound Poisson approximations
• Markov processes
• Queueing Networks
• Image Processing

ADMINISTRATION

• Stochastic Processes Seminar Co-Ordinator

• “On negative binomial approximation to $k$-runs ” (with X. Wang). Journal of Applied Probability, to appear.
• “A polynomial birth-death point process approximation to the Bernoulli process ” (with F. Zhang). Stochastic Processes and their Applications, to appear.
• “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.

TEACHING RESPONSIBILITIES

620301 Stochastic Modelling and 620602 Probability for Inference..

SOME USEFUL LINKS

ARC Centre of Excellence for Mathematics and Statistics of Complex Systems ; Statistical Job Announcements in Australia and New Zealand; The Probability Web; American Mathematical Society.

ACADEMIC VITAE.

This page was updated on 11/02/08

Back to Maths and Stats Home Page