Aihua Xia

When do wireless network signals appear Poisson?

H Paul Keeler, Nathan Ross, Aihua Xia

Journal article  |  2018  |  Bernoulli

Divergence from, and Convergence to, Uniformity of Probability Density Quantiles

Robert G Staudte, Aihua Xia

Journal article  |  2018  |  Entropy

MULTIVARIATE APPROXIMATION IN TOTAL VARIATION, I: EQUILIBRIUM DISTRIBUTIONS OF MARKOV JUMP PROCESSES

AD Barbour, MJ Luczak, A Xia

Journal article  |  2018  |  The Annals of Probability

MULTIVARIATE APPROXIMATION IN TOTAL VARIATION, II: DISCRETE NORMAL APPROXIMATION

AD Barbour, MJ Luczak, A Xia

Journal article  |  2018  |  The Annals of Probability

Stronger Wireless Signals Appear More Poisson

Paul Keeler, Nathan Ross, Aihua Xia, Bartlomiej Blaszczyszyn

Journal article  |  2016  |  IEEE Wireless Communications Letters

NORMAL APPROXIMATION FOR STATISTICS OF GIBBSIAN INPUT IN GEOMETRIC PROBABILITY

Aihua Xia, JE Yukich

Journal article  |  2015  |  Advances in Applied Probability

Stein's method for conditional compound Poisson approximation

HL Gan, A Xia

Journal article  |  2015  |  Statistics & Probability Letters

Stein factors for negative binomial approximation in Wasserstein distance

AD Barbour, HL Gan, A Xia

Journal article  |  2015  |  Bernoulli

On the asymptotics of locally dependent point processes

Aihua Xia, Fuxi Zhang

Journal article  |  2012  |  Stochastic Processes and their Applications

Changing topological patterns in normal aging using large-scale structural networks

Wanlin Zhu, Wei Wen, Yong He, Aihua Xia, Kaarin J Anstey, Perminder Sachdev

Journal article  |  2012  |  Neurobiology of Aging

On exceedances of high levels

SY Novak, A Xia

Journal article  |  2012  |  Stochastic Processes and their Applications

Clubbed Binomial Approximation for the Lightbulb Process

Larry Goldstein, Aihua Xia

Book Chapter  |  2012  |  Lecture Notes in Statistics -New York- Springer Verlag-

The wasted vote phenomenon with uncertain voter population

Yuelan Chen, Aihua Xia

Journal article  |  2011  |  Social Choice and Welfare

Poisson process approximation for dependent superposition of point processes

Louis HY Chen, Aihua Xia

Journal article  |  2011  |  Bernoulli

Discrete Neuroanatomical Networks Are Associated with Specific Cognitive Abilities in Old Age

Wei Wen, Wanlin Zhu, Yong He, Nicole A Kochan, Simone Reppermund, Melissa J Slavin, Henry Brodaty, John Crawford, Aihua Xia, Perminder Sachdev

Journal article  |  2011  |  Journal of Neuroscience

ON CUSTOMER FLOWS IN JACKSON QUEUEING NETWORKS

Sen Tan, Aihua Xia

Journal article  |  2010  |  Advances in Applied Probability

On approximation of Markov binomial distributions

Aihua Xia, Mei Zhang

Journal article  |  2009  |  Bernoulli

Polynomial Birth-Death Distribution Approximation in the Wasserstein Distance

Aihua Xia, Fuxi Zhang

Journal article  |  2009  |  Journal of Theoretical Probability

A NEW METRIC BETWEEN DISTRIBUTIONS OF POINT PROCESSES

Dominic Schuhmacher, Aihua Xia

Journal article  |  2008  |  Advances in Applied Probability

A polynomial birth-death point process approximation to the Bernoulli process

Aihua Xia, Fuxi Zhang

Journal article  |  2008  |  Stochastic Processes and their Applications

On negative binomial approximation to k-runs

Xiaoxin Wang, Aihua Xia

Journal article  |  2008  |  Journal of Applied Probability

Point processes characterized by their one dimensional distributions (vol 128, pg 467, 2004)

Aihua Xia

Journal article  |  2007  |  Probability Theory and Related Fields

On Stein's Method and perturbations

AD Barbour, V Cekanavicius, A XIA

Journal article  |  2007  |  Alea - Latin American journal of Probability and Mathematical Statistics

On Stein's factors for Poisson approximation in Wasserstein distance

AD Barbour, Aihua Xia

Journal article  |  2006  |  Bernoulli

Zero biasing and a discrete central limit theorem

Larry Goldstein, Aihua Xia

Journal article  |  2006  |  Annals of Probability

Normal approximation for random sums

AD Barbour, Aihua Xia

Journal article  |  2006  |  Advances in Applied Probability

Poisson process approximation: From Palm theory to Stein's Method

LHY Chen, A XIA

Conference Proceedings  |  2006  |  IMS Lecture Notes - Monograph Series Time Series and related topics

IMPROVED RESULTS ON POISSON PROCESS APPROXIMATION IN JACKSON NETWORKS

TC BROWN, M FACKRELL, A XIA

Journal article  |  2005  |  Cosmos

Melamed (1979) proved that for an open migration process, a necessary and sufficient condition for the equilibrium flow along a li..

Nonrandom clusters of palindromes in herpesvirus genomes

MY Leung, KP Choi, AH Xia, LHY Chen

Journal article  |  2005  |  Journal of Computational Biology

Stein's method for compound Poisson approximation via immigration-death processes

A XIA

Conference Proceedings  |  2005  |  Stein's Method and Applications

Stein's method and Poisson process approximation

Aihua Xia

Book Chapter  |  2005  |  Lecture Notes Series- Institute for Mathematical Sciences National University of Singapore

Stein's method, palm theory and poisson process approximation

LHY Chen, AH Xia

Journal article  |  2004  |  Annals of Probability

Point processes characterized by their one dimensional distributions

AH Xia

Journal article  |  2004  |  Probability Theory and Related Fields

Approximating the number of successes in independent trials: Binomial versus Poisson

KP Choi, AH Xia

Journal article  |  2002  |  Annals of Applied Probability

How many processes have Poisson counts?

TC Brown, AH Xia

Journal article  |  2002  |  Stochastic Processes and their Applications

Compound Poisson approximation for the distribution of extremes

AD Barbour, SY Novak, A Xia

Journal article  |  2002  |  Advances in Applied Probability

Empirical point processes of exceedances play an important role in extreme value theory, and their limiting behaviour has been ext..

Compound Poisson approximation for the distribution of extremes

AD Barbour, SY Novak, A Xia

Journal article  |  2002  |  Advances in Applied Probability

The number of two-dimensional maxima

AD Barbour, A Xia

Journal article  |  2001  |  Advances in Applied Probability

Let n points be placed uniformly at random in a subset A of the plane. A point is said to be maximal in the configuration if no ot..

The number of two-dimensional maxima

AD Barbour, A Xia

Journal article  |  2001  |  Advances in Applied Probability

Stein's method and birth-death processes

TC Brown, AH Xia

Journal article  |  2001  |  Annals of Probability

Removing logarithms from Poisson process error bounds

TC Brown, GV Weinberg, A Xia

Journal article  |  2000  |  Stochastic Processes and their Applications

Estimating Stein's constants for compound Poisson approximation

AD Barbour, A Xia

Journal article  |  2000  |  Bernoulli

Poisson approximation, compensators and coupling

A Xia

Journal article  |  2000  |  Stochastic Analysis and Applications

Verifying edges for visual inspection purposes

W Wen, A Xia

Journal article  |  1999  |  Pattern Recognition Letters

A probabilistic proof of Stein's factors

A Xia

Journal article  |  1999  |  Journal of Applied Probability

We provide a probabilistic proof of the Stein's factors based on properties of birth and death Markov chains, solving a tantalizin..

A probabilistic proof of Stein’s factors

A Xia

Journal article  |  1999  |  Journal of Applied Probability

We provide a probabilistic proof of the Stein's factors based on properties of birth and death Markov chains, solving a tantalizin..

Poisson perturbations

AD Barbour, A Xia

Journal article  |  1999  |  ESAIM: Probability and Statistics

On the variance to mean ratio for random variables from Markov chains and point processes

TC Brown, K Hamza, A Xia

Journal article  |  1998  |  Journal of Applied Probability

Criteria are determined for the variance to mean ratio to be greater than one (over-dispersed) or less than one (under-dispersed)...

On the variance to mean ratio for random variables from Markov chains and point processes

TC Brown, K Hamza, A Xia

Journal article  |  1998  |  Journal of Applied Probability

Criteria are determined for the variance to mean ratio to be greater than one (over-dispersed) or less than one (under-dispersed)...

On Poisson approximation to the partial sum process of a Markov chain

S He, A Xia

Journal article  |  1997  |  Stochastic Processes and their Applications

On the rate of poisson process approximation to a Bernoulli process

A Xia

Journal article  |  1997  |  Journal of Applied Probability

This note gives the rate for a Wasserstein distance between the distribution of a Bernoulli process on discrete time and that of a..

On using the first difference in the Stein-Chen method

A Xia

Journal article  |  1997  |  The Annals of Applied Probability

On Stein-Chen factors for Poisson approximation

TC Brown, A Xia

Journal article  |  1995  |  Statistics & Probability Letters