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Find an ExpertProfiling the University of Melbourne's Researchers

A/PROF AIHUA XIA



Contact Details

Organization: Mathematics and Statistics
Position: ASSOCIATE PROFESSOR
Email:
Homepage: http://www.ms.unimelb.edu.au/~xia/
Work: 83444247
Fax: 83444599
Room: 220
Level: 02
Building: Richard Berry Building
Campus: Parkville

Research Expertise and International Linkages

Research Expertise

Research Interest Key Words Country of Expertise
stochastic processes limit theory, Stein's method, point process,computational biology,image processing Australia

International Linkages

Country Establishment Collaboration
United States University of Southern California Research
Australia The Australian National University Research
Australia University of New South Wales Research
China Beijing Research
Singapore National University of Singapore Research
Switzerland University of Zurich Research

Qualifications, Honours, Fellowships and Other Awards

Qualifications

Title Institution Date Awarded Abbreviation
Bachelor of Science East China Normal University 01-Jul-1986
Master of Science East China Normal University 01-Jul-1988
Doctor of Philosophy University of Melbourne 25-Mar-1995

Memberships

Membership Type Membership Body Description Start Date End Date
Member Bernoulli Society full member 01-Sep-1995
Member Statistical Society of Australia Full member 01-Sep-1996

Other Awards

Award Type Awarding Body Comments Date Awarded
Medal the Australian Academy of Science 01-Sep-2001

Government Research Classifications

Research Fields, Courses and Discipline Classifications

Socio-Economic Objective Classifications

Grants and Contracts

Research Grants, Contracts and Consultancies awarded to the University of Melbourne as the administering institution (since 2003) as recorded in Themis Agreements.

Grants

Title Role Funding Source Scheme Award Date
ARC centre of excellence for mathematical and statistical modelling of complex systems Chief Investigator AUST RESEARCH COUNCIL Centres of Excellence 01/01/2003
QUANTIYING CORTICAL THICKNESS AND WHITE MATTER HYPERINTENSITY VOLUMES AND DETERMINING THEIR RELATIONSHIP ON MRI IN AGEING BRAINS Chief Investigator UNIVERSITY OF NEW SOUTH WALES - DO NOT USE (636) Discovery Projects (AUST RESEARCH COUNCIL)

Publications

Publications produced at the University of Melbourne and reported in the Annual Publications Collection and 'Research Report' since 2001. The Themis Publications module, released in November 2006, allows additional publications from previous institutions and publications from past years to be entered.

Publications in 2008

Journal Articles

  • A new metric between distributions of point processes
    Year: 2008
    Journal: Advances in Applied Probability
    Volume: 40
    Page numbers: 651-672
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  • A polynomial birth-death point process approximation to the Bernoulli process
    Year: 2008
    Journal: Stochastic Processes and their Applications
    Volume: 118
    Page numbers: 1254-1263
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  • On negative binomial approximation to k-runs
    Year: 2008
    Journal: Journal of Applied Probability
    Volume: 45
    Page numbers: 456-471
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Publications in 2007

Journal Articles

  • On Stein's Method and perturbations
    Year: 2007
    Journal: Alea - Latin American journal of Probability and Mathematical Statistics
    Volume: 3
    Page numbers: 31-53
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Publications in 2006

Journal Articles

  • Normal approximation for random sums
    Year: 2006
    Journal: Advances in Applied Probability
    Volume: 38
    Page numbers: 693-728
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  • On Stein's factors for Poisson approximation in Wasserstein distance
    Year: 2006
    Journal: Bernoulli
    Volume: 12
    Issue: 6
    Page numbers: 943-954
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  • Zero biasing and a discrete central limit theorem
    Year: 2006
    Journal: Annals of Probability
    Volume: 34
    Issue: 5
    Page numbers: 1782-1806
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Conference Publications/Papers

  • Poisson process approximation: From Palm theory to Stein's Method
    Year: 2006
    Event name: Statistics and Probability Conference in Memory of Ching-Zong Wei
    Conference Publication: IMS Lecture Notes - Monograph Series Time Series and related topics
    Volume: 52
    Page numbers: 236-244
    Publisher: Institute of Mathematical Statistics
    Author(s):

Publications in 2005

Book Chapters

  • Stein's method and Poisson process approximation
    Year: 2005
    Book: An Introduction to Stein's Method
    Publisher: World Scientific Publishing Co
    Authors(s):

Journal Articles

  • Improved Results on Poisson Process Approximation in Jackson Networks
    Year: 2005
    Journal: Cosmos
    Volume: 1
    Issue: 1
    Page numbers: 47-55
    Publisher: World Scientific Publishing Co
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  • Nonrandom Clusters of Palindromes in Herpesvirus Genomes
    Year: 2005
    Journal: Journal of Computational Biology
    Volume: 12
    Issue: 3
    Page numbers: 331-354
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Conference Publications/Papers

  • Stein's method for compound Poisson approximation via immigration-death processes
    Year: 2005
    Event name: Stein's method and applications
    Conference Publication: Stein's Method and Applications
    Volume: 5
    Page numbers: 85-102
    Publisher: World Scientific Publishing Co
    Author(s):

Publications in 2004

Journal Articles

  • Point processes characterized by their one dimensional distributions
    Year: 2004
    Journal: Probability Theory and Related Fields
    Volume: 128
    Issue: 3
    Page numbers: 467-474
    Publisher: Springer Verlag
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  • Stein's method, palm theory and poisson process approximation
    Year: 2004
    Journal: Annals of Probability
    Volume: 32
    Issue: 3B
    Page numbers: 2545-2569
    Publisher: Institute of Mathematical Statistics(Ohio)
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Publications in 2002

Journal Articles

  • Approximating the number of successes in independent trials: binomial versus poisson
    Year: 2002
    Journal: Annals of Applied Probability
    Volume: 12
    Issue: 4
    Page numbers: 1139-1148
    Publisher: Institute of Mathematical Statistics(Ohio)
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  • Compound Poisson approximation for the distribution of extremes
    Year: 2002
    Journal: Advances in Applied Probability
    Volume: 34
    Page numbers: 223-240
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  • How many processes have poisson counts?
    Year: 2002
    Journal: Stochastic Processes and their Applications
    Volume: 98
    Page numbers: 331-339
    Publisher: Elsevier Science(Amsterdam)
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Publications in 2001

Journal Articles

  • Stein's method and birth-death processes
    Year: 2001
    Journal: Annals of Probability
    Volume: 29
    Issue: 3
    Page numbers: 1373-1403
    Publisher: Institute of Mathematical Statistics(Ohio)
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  • The number of two-dimensional maxima
    Year: 2001
    Journal: Advances in Applied Probability
    Volume: 33
    Page numbers: 727-750
    Publisher: Applied Probability Trust
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