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Author ID: xia.aihua Recent zbMATH articles by "Xia, Aihua"
Published as: Xia, Aihua; Xia, A.
Homepage: http://www.ms.unimelb.edu.au/~aihuaxia@unimelb/
External Links: ResearchGate · dblp

Publications by Year

Citations contained in zbMATH Open

46 Publications have been cited 393 times in 204 Documents Cited by Year
Poisson perturbations. Zbl 0949.62015
Barbour, Andrew D.; Xia, Aihua
53
1999
Stein’s method and birth-death processes. Zbl 1019.60019
Brown, Timothy C.; Xia, Aihua
46
2001
Stein’s method, Palm theory and Poisson process approximation. Zbl 1057.60051
Chen, Louis H. Y.; Xia, Aihua
24
2004
On Stein’s factors for Poisson approximation in Wasserstein distance. Zbl 1328.62076
Barbour, A. D.; Xia, Aihua
21
2006
Normal approximation for random sums. Zbl 1106.60029
Barbour, A. D.; Xia, Aihua
19
2006
On negative binomial approximation to \(k\)-runs. Zbl 1143.60021
Wang, Xiaoxin; Xia, Aihua
19
2008
Removing logarithms from Poisson process error bounds. Zbl 1045.60045
Brown, Timothy C.; Weinberg, Graham V.; Xia, Aihua
14
2000
The number of two-dimensional maxima. Zbl 1005.60028
Barbour, A. D.; Xia, A.
14
2001
Zero biasing and a discrete central limit theorem. Zbl 1111.60015
Goldstein, Larry; Xia, Aihua
13
2006
Compound Poisson approximation for the distribution of extremes. Zbl 1005.60065
Barbour, A. D.; Novak, S. Y.; Xia, A.
11
2002
On using the first difference in the Stein-Chen method. Zbl 0903.60012
Xia, Aihua
11
1997
On metrics in point process approximation. Zbl 0864.60035
Brown, Timothy C.; Xia, Aihua
11
1995
On Stein’s method and perturbations. Zbl 1121.62016
Barbour, A. D.; Čekanavičius, Vydas; Xia, Aihua
9
2007
Approximating the number of successes in independent trials: binomial versus Poisson. Zbl 1019.60018
Choi, K. P.; Xia, Aihua
9
2002
Estimating Stein’s constants for compound Poisson approximation. Zbl 0959.62014
Barbour, A. D.; Xia, Aihua
8
2000
Multivariate approximation in total variation. II: Discrete normal approximation. Zbl 1393.62008
Barbour, A. D.; Luczak, M. J.; Xia, A.
8
2018
A new metric between distributions of point processes. Zbl 1155.60020
Schuhmacher, Dominic; Xia, Aihua
7
2008
On approximation of Markov binomial distributions. Zbl 1203.60019
Xia, Aihua; Zhang, Mei
7
2009
Normal approximation for statistics of Gibbsian input in geometric probability. Zbl 1333.60037
Xia, Aihua; Yukich, J. E.
7
2015
Multivariate approximation in total variation. I: Equilibrium distributions of Markov jump processes. Zbl 1393.62007
Barbour, A. D.; Luczak, M. J.; Xia, A.
7
2018
On Stein-Chen factors for Poisson approximation. Zbl 0829.60015
Brown, Timothy C.; Xia, Aihua
5
1995
Point processes in time and Stein’s method. Zbl 0924.60020
Barbour, A. D.; Brown, Timothy C.; Xia, Aihua
5
1998
Poisson approximation, compensators and coupling. Zbl 0953.60031
Xia, Aihua
5
2000
A polynomial birth-death point process approximation to the Bernoulli process. Zbl 1147.60020
Xia, Aihua; Zhang, Fuxi
5
2008
Stein’s method for conditional compound Poisson approximation. Zbl 1327.60059
Gan, H. L.; Xia, A.
5
2015
Stein factors for negative binomial approximation in Wasserstein distance. Zbl 1329.62077
Barbour, A. D.; Gan, H. L.; Xia, A.
5
2015
Poisson process approximation for dependent superposition of point processes. Zbl 1248.60054
Chen, Louis H. Y.; Xia, Aihua
4
2011
On the rate of Poisson process approximation to a Bernoulli process. Zbl 0920.60026
Xia, Aihua
4
1997
Poisson process approximation: from Palm theory to Stein’s method. Zbl 1268.60064
Chen, Louis H. Y.; Xia, Aihua
3
2006
Weak convergence of Markov processes with extended generators. Zbl 0839.60006
Xia, Aihua
3
1994
On the asymptotics of locally dependent point processes. Zbl 1247.60069
Xia, Aihua; Zhang, Fuxi
3
2012
A probabilistic proof of Stein’s factors. Zbl 0942.60006
Xia, Aihua
3
1999
On Poisson approximation to the partial sum process of a Markov chain. Zbl 0889.60049
He, S.; Xia, A.
3
1997
Palm theory, random measures and Stein couplings. Zbl 1484.60025
Chen, Louis H. Y.; Röllin, Adrian; Xia, Aihua
3
2021
Weak convergence of jump processes. Zbl 1126.60318
Xia, Aihua
2
1992
On exceedances of high levels. Zbl 1234.60059
Novak, S. Y.; Xia, A.
2
2012
On the variance to mean ratio for random variables from Markov chains and point processes. Zbl 0942.60003
Brown, Timothy C.; Hamza, Kais; Xia, Aihua
2
1998
When do wireless network signals appear Poisson? Zbl 1429.60049
Keeler, H. Paul; Ross, Nathan; Xia, Aihua
2
2018
A note on the Prohorov distance between a counting process and a Poisson process. Zbl 0810.60043
Xia, Aihua
2
1993
Clubbed binomial approximation for the lightbulb process. Zbl 1322.60034
Goldstein, Larry; Xia, Aihua
2
2012
On moderate deviations in Poisson approximation. Zbl 1452.60020
Liu, Qingwei; Xia, Aihua
2
2020
Multivariate approximation in total variation using local dependence. Zbl 1467.60018
Barbour, A. D.; Xia, A.
1
2019
Polynomial birth-death distribution approximation in the Wasserstein distance. Zbl 1169.60001
Xia, Aihua; Zhang, Fuxi
1
2009
On variability in birth processes. Zbl 0953.60504
Xia, Aihua
1
1996
On Stein’s factors for Poisson approximation in Wasserstein distance with nonlinear transportation costs. Zbl 1502.60032
Liao, Zhong-Wei; Ma, Yutao; Xia, Aihua
1
2022
A large sample property in approximating the superposition of i.i.d. finite point processes. Zbl 1434.60067
Cong, Tianshu; Xia, Aihua; Zhang, Fuxi
1
2020
On Stein’s factors for Poisson approximation in Wasserstein distance with nonlinear transportation costs. Zbl 1502.60032
Liao, Zhong-Wei; Ma, Yutao; Xia, Aihua
1
2022
Palm theory, random measures and Stein couplings. Zbl 1484.60025
Chen, Louis H. Y.; Röllin, Adrian; Xia, Aihua
3
2021
On moderate deviations in Poisson approximation. Zbl 1452.60020
Liu, Qingwei; Xia, Aihua
2
2020
A large sample property in approximating the superposition of i.i.d. finite point processes. Zbl 1434.60067
Cong, Tianshu; Xia, Aihua; Zhang, Fuxi
1
2020
Multivariate approximation in total variation using local dependence. Zbl 1467.60018
Barbour, A. D.; Xia, A.
1
2019
Multivariate approximation in total variation. II: Discrete normal approximation. Zbl 1393.62008
Barbour, A. D.; Luczak, M. J.; Xia, A.
8
2018
Multivariate approximation in total variation. I: Equilibrium distributions of Markov jump processes. Zbl 1393.62007
Barbour, A. D.; Luczak, M. J.; Xia, A.
7
2018
When do wireless network signals appear Poisson? Zbl 1429.60049
Keeler, H. Paul; Ross, Nathan; Xia, Aihua
2
2018
Normal approximation for statistics of Gibbsian input in geometric probability. Zbl 1333.60037
Xia, Aihua; Yukich, J. E.
7
2015
Stein’s method for conditional compound Poisson approximation. Zbl 1327.60059
Gan, H. L.; Xia, A.
5
2015
Stein factors for negative binomial approximation in Wasserstein distance. Zbl 1329.62077
Barbour, A. D.; Gan, H. L.; Xia, A.
5
2015
On the asymptotics of locally dependent point processes. Zbl 1247.60069
Xia, Aihua; Zhang, Fuxi
3
2012
On exceedances of high levels. Zbl 1234.60059
Novak, S. Y.; Xia, A.
2
2012
Clubbed binomial approximation for the lightbulb process. Zbl 1322.60034
Goldstein, Larry; Xia, Aihua
2
2012
Poisson process approximation for dependent superposition of point processes. Zbl 1248.60054
Chen, Louis H. Y.; Xia, Aihua
4
2011
On approximation of Markov binomial distributions. Zbl 1203.60019
Xia, Aihua; Zhang, Mei
7
2009
Polynomial birth-death distribution approximation in the Wasserstein distance. Zbl 1169.60001
Xia, Aihua; Zhang, Fuxi
1
2009
On negative binomial approximation to \(k\)-runs. Zbl 1143.60021
Wang, Xiaoxin; Xia, Aihua
19
2008
A new metric between distributions of point processes. Zbl 1155.60020
Schuhmacher, Dominic; Xia, Aihua
7
2008
A polynomial birth-death point process approximation to the Bernoulli process. Zbl 1147.60020
Xia, Aihua; Zhang, Fuxi
5
2008
On Stein’s method and perturbations. Zbl 1121.62016
Barbour, A. D.; Čekanavičius, Vydas; Xia, Aihua
9
2007
On Stein’s factors for Poisson approximation in Wasserstein distance. Zbl 1328.62076
Barbour, A. D.; Xia, Aihua
21
2006
Normal approximation for random sums. Zbl 1106.60029
Barbour, A. D.; Xia, Aihua
19
2006
Zero biasing and a discrete central limit theorem. Zbl 1111.60015
Goldstein, Larry; Xia, Aihua
13
2006
Poisson process approximation: from Palm theory to Stein’s method. Zbl 1268.60064
Chen, Louis H. Y.; Xia, Aihua
3
2006
Stein’s method, Palm theory and Poisson process approximation. Zbl 1057.60051
Chen, Louis H. Y.; Xia, Aihua
24
2004
Compound Poisson approximation for the distribution of extremes. Zbl 1005.60065
Barbour, A. D.; Novak, S. Y.; Xia, A.
11
2002
Approximating the number of successes in independent trials: binomial versus Poisson. Zbl 1019.60018
Choi, K. P.; Xia, Aihua
9
2002
Stein’s method and birth-death processes. Zbl 1019.60019
Brown, Timothy C.; Xia, Aihua
46
2001
The number of two-dimensional maxima. Zbl 1005.60028
Barbour, A. D.; Xia, A.
14
2001
Removing logarithms from Poisson process error bounds. Zbl 1045.60045
Brown, Timothy C.; Weinberg, Graham V.; Xia, Aihua
14
2000
Estimating Stein’s constants for compound Poisson approximation. Zbl 0959.62014
Barbour, A. D.; Xia, Aihua
8
2000
Poisson approximation, compensators and coupling. Zbl 0953.60031
Xia, Aihua
5
2000
Poisson perturbations. Zbl 0949.62015
Barbour, Andrew D.; Xia, Aihua
53
1999
A probabilistic proof of Stein’s factors. Zbl 0942.60006
Xia, Aihua
3
1999
Point processes in time and Stein’s method. Zbl 0924.60020
Barbour, A. D.; Brown, Timothy C.; Xia, Aihua
5
1998
On the variance to mean ratio for random variables from Markov chains and point processes. Zbl 0942.60003
Brown, Timothy C.; Hamza, Kais; Xia, Aihua
2
1998
On using the first difference in the Stein-Chen method. Zbl 0903.60012
Xia, Aihua
11
1997
On the rate of Poisson process approximation to a Bernoulli process. Zbl 0920.60026
Xia, Aihua
4
1997
On Poisson approximation to the partial sum process of a Markov chain. Zbl 0889.60049
He, S.; Xia, A.
3
1997
On variability in birth processes. Zbl 0953.60504
Xia, Aihua
1
1996
On metrics in point process approximation. Zbl 0864.60035
Brown, Timothy C.; Xia, Aihua
11
1995
On Stein-Chen factors for Poisson approximation. Zbl 0829.60015
Brown, Timothy C.; Xia, Aihua
5
1995
Weak convergence of Markov processes with extended generators. Zbl 0839.60006
Xia, Aihua
3
1994
A note on the Prohorov distance between a counting process and a Poisson process. Zbl 0810.60043
Xia, Aihua
2
1993
Weak convergence of jump processes. Zbl 1126.60318
Xia, Aihua
2
1992
all top 5

Cited by 238 Authors

33 Xia, Aihua
22 Čekanavičius, Vydas
12 Barbour, Andrew David
9 Vellaisamy, Palaniappan
8 Röllin, Adrian
7 Novak, Serguei Yu.
7 Roos, Bero
7 Schulte, Matthias
7 Yukich, Joseph Elliott
6 Kumar, Amit N.
6 Schuhmacher, Dominic
5 Reinert, Gesine D.
5 Ross, Nathan
4 Chen, Louis Hsiao-Yun
4 Cong, Tianshu
4 Daly, Fraser
4 Gaunt, Robert Edward
4 Swan, Yvik C.
4 Zhang, Fuxi
3 Boutsikas, Michael V.
3 Decreusefond, Laurent
3 Liaudanskaitė, Gabija
3 Neammanee, Kritsana
3 Pianoforte, Federico
3 Upadhye, Neelesh S.
3 Zhang, Mei
2 Adell, José Antonio
2 Anastasiou, Andreas
2 Anoz, José M.
2 Bhattacharjee, Chinmoy
2 Biscio, Christophe Ange Napoléon
2 Brown, Timothy C.
2 Chaidee, Nattakarn
2 De, Anindya K.
2 Eichelsbacher, Peter
2 Erhardsson, Torkel
2 Ernst, Marie
2 Fang, Xiao
2 Hirsch, Christian
2 Kang, Moonsu
2 Ley, Christophe
2 Li, Bo
2 Liu, Qingwei
2 Long, Philip M.
2 Luczak, Malwina J.
2 Mateu, Jorge
2 Peköz, Erol A.
2 Petrauskienė, Jūratė
2 Ruzankin, Pavel S.
2 Schreiber, Tomasz
2 Servedio, Rocco A.
2 Svane, Anne Marie
2 Thäle, Christoph
2 Tropp, Joel A.
2 Vaggelatou, Eutichia
2 Weinberg, Graham V.
2 Wiroonsri, Nathakhun
2 Xu, Lihu
2 Zhang, Huiming
1 Abate, Alessandro
1 Abbas, Karim
1 Aissani, Djamil
1 Atalar, Aras
1 Baddeley, Adrian John
1 Bai, Zhi-Dong
1 Barbour, Julian B.
1 Barp, Alessandro
1 Baryshnikov, Yuliy M.
1 Benassi, Marcello
1 Beneš, Viktor
1 Bertail, Patrice
1 Betken, Carina
1 Biscarri, William
1 Blanchet, Jose H.
1 Bobrowski, Omer
1 Braverman, Anton
1 Bretó, Carles
1 Briol, François-Xavier
1 Brunner, Robert J.
1 Cantarinha, Ana
1 Chafaï, Djalil
1 Chen, Peng
1 Chenavier, Nicolas
1 Chernyak, Vladimir Y.
1 Chertkov, Michael
1 Chhaïbi, Réda
1 Choi, Kwok Pui
1 Choi, Michael C. H.
1 Chryssaphinou, Ourania
1 Chun, Heuiju
1 Cipriani, Alessandra
1 Clémençon, Stéphan
1 Coulson, Matthew
1 D’Andrea, Marco
1 Delbaen, Freddy
1 Döring, Hanna
1 Ebner, Bruno
1 Elijio, Aistė
1 Ethier, Stewart N.
1 Feidt, Anne
...and 138 more Authors
all top 5

Cited in 65 Serials

20 Bernoulli
14 The Annals of Applied Probability
13 The Annals of Probability
12 Statistics & Probability Letters
12 Stochastic Processes and their Applications
11 Advances in Applied Probability
10 Journal of Applied Probability
9 Lithuanian Mathematical Journal
9 Journal of Theoretical Probability
6 Communications in Statistics. Theory and Methods
6 Electronic Journal of Probability
4 Methodology and Computing in Applied Probability
4 Electronic Journal of Statistics
3 Extremes
3 Brazilian Journal of Probability and Statistics
3 Bulletin of the Malaysian Mathematical Sciences Society. Second Series
2 Journal of Mathematical Analysis and Applications
2 Journal of Statistical Planning and Inference
2 Statistical Science
2 Random Structures & Algorithms
2 Computational Statistics and Data Analysis
2 Electronic Communications in Probability
2 European Series in Applied and Industrial Mathematics (ESAIM): Probability and Statistics
2 Stochastics
2 Probability Surveys
2 Stochastic Systems
2 Modern Stochastics. Theory and Applications
1 Bulletin of the Australian Mathematical Society
1 International Journal of Control
1 Journal of Statistical Physics
1 Physica A
1 Annales de l’Institut Fourier
1 Annals of the Institute of Statistical Mathematics
1 Mathematics of Operations Research
1 Advances in Applied Mathematics
1 Stochastic Analysis and Applications
1 Acta Mathematicae Applicatae Sinica. English Series
1 Probability Theory and Related Fields
1 SIAM Journal on Discrete Mathematics
1 Applications of Mathematics
1 Discrete Mathematics and Applications
1 Discrete Event Dynamic Systems
1 Annales de l’Institut Henri Poincaré. Probabilités et Statistiques
1 Potential Analysis
1 Journal of Mathematical Sciences (New York)
1 Journal of Convex Analysis
1 Journal of Nonparametric Statistics
1 Nonlinear Dynamics
1 Statistical Inference for Stochastic Processes
1 Acta Mathematica Sinica. English Series
1 Foundations of Science
1 Nonlinear Analysis. Modelling and Control
1 Journal of Machine Learning Research (JMLR)
1 REVSTAT
1 Foundations of Physics
1 Frontiers of Mathematics in China
1 Advances in Data Analysis and Classification. ADAC
1 Computational & Mathematical Methods in Medicine
1 The Annals of Applied Statistics
1 Science China. Mathematics
1 Statistics and Computing
1 European Series in Applied and Industrial Mathematics (ESAIM): Proceedings and Surveys
1 Annales Henri Lebesgue
1 SN Operations Research Forum
1 SIAM Journal on Mathematics of Data Science

Citations by Year