Barbour, A. D.; Xia, A. Multivariate approximation in total variation using local dependence. (English) Zbl 1467.60018 Electron. J. Probab. 24, Paper No. 27, 35 p. (2019). MSC: 60F05 60E15 60G55 60J27 PDFBibTeX XMLCite \textit{A. D. Barbour} and \textit{A. Xia}, Electron. J. Probab. 24, Paper No. 27, 35 p. (2019; Zbl 1467.60018) Full Text: DOI arXiv Euclid
Barbour, A. D.; Reinert, G. The shortest distance in random multi-type intersection graphs. (English) Zbl 1231.05081 Random Struct. Algorithms 39, No. 2, 179-209 (2011). MSC: 05C12 05C35 05C80 PDFBibTeX XMLCite \textit{A. D. Barbour} and \textit{G. Reinert}, Random Struct. Algorithms 39, No. 2, 179--209 (2011; Zbl 1231.05081) Full Text: DOI arXiv Link
Socoll, Sanda N.; Barbour, A. D. Translated Poisson approximation to equilibrium distributions of Markov population processes. (English) Zbl 1214.60041 Methodol. Comput. Appl. Probab. 12, No. 4, 567-586 (2010). Reviewer: A. Świerniak (Gliwice) MSC: 60J75 62E17 60J05 60J80 92D25 60G55 PDFBibTeX XMLCite \textit{S. N. Socoll} and \textit{A. D. Barbour}, Methodol. Comput. Appl. Probab. 12, No. 4, 567--586 (2010; Zbl 1214.60041) Full Text: DOI arXiv Link
Barbour, A. D.; Čekanavičius, Vydas; Xia, Aihua On Stein’s method and perturbations. (English) Zbl 1121.62016 ALEA, Lat. Am. J. Probab. Math. Stat. 3, 31-53 (2007). MSC: 62E17 60F05 PDFBibTeX XMLCite \textit{A. D. Barbour} et al., ALEA, Lat. Am. J. Probab. Math. Stat. 3, 31--53 (2007; Zbl 1121.62016) Full Text: arXiv
Barbour, A. D.; Novak, S. Y.; Xia, A. Compound Poisson approximation for the distribution of extremes. (English) Zbl 1005.60065 Adv. Appl. Probab. 34, No. 1, 223-240 (2002). Reviewer: Wiesław Dziubdziela (Kielce) MSC: 60G70 60F05 60G55 PDFBibTeX XMLCite \textit{A. D. Barbour} et al., Adv. Appl. Probab. 34, No. 1, 223--240 (2002; Zbl 1005.60065) Full Text: DOI
Barbour, A. D.; Reinert, Gesine Small worlds. (English) Zbl 0988.60100 Random Struct. Algorithms 19, No. 1, 54-74 (2001). Reviewer: Lars Holst (Stockholm) MSC: 60K99 PDFBibTeX XMLCite \textit{A. D. Barbour} and \textit{G. Reinert}, Random Struct. Algorithms 19, No. 1, 54--74 (2001; Zbl 0988.60100) Full Text: DOI arXiv
Barbour, A. D.; Schmidt, V. On Laslett’s transform for the Boolean model. (English) Zbl 0978.60017 Adv. Appl. Probab. 33, No. 1, 1-5 (2001). Reviewer: Ilya S.Molchanov (Glasgow) MSC: 60D05 60G55 PDFBibTeX XMLCite \textit{A. D. Barbour} and \textit{V. Schmidt}, Adv. Appl. Probab. 33, No. 1, 1--5 (2001; Zbl 0978.60017) Full Text: DOI
Arratia, Richard; Barbour, A. D.; Tavaré, Simon The Poisson-Dirichlet distribution and the scale-invariant Poisson process. (English) Zbl 0945.60010 Comb. Probab. Comput. 8, No. 5, 407-416 (1999). Reviewer: Neculai Curteanu (Iaşi) MSC: 60C05 60G55 PDFBibTeX XMLCite \textit{R. Arratia} et al., Comb. Probab. Comput. 8, No. 5, 407--416 (1999; Zbl 0945.60010) Full Text: DOI
Barbour, A. D.; Brown, Timothy C.; Xia, Aihua Point processes in time and Stein’s method. (English) Zbl 0924.60020 Stochastics Stochastics Rep. 65, No. 1-2, 127-151 (1998). Reviewer: V.Oganyan (Erevan) MSC: 60G55 PDFBibTeX XMLCite \textit{A. D. Barbour} et al., Stochastics Stochastics Rep. 65, No. 1--2, 127--151 (1998; Zbl 0924.60020) Full Text: DOI
Barbour, A. D.; Brown, Timothy C. Approximate versions of Melamed’s theorem. (English) Zbl 0855.60091 J. Appl. Probab. 33, No. 2, 472-489 (1996). MSC: 60K25 60G55 PDFBibTeX XMLCite \textit{A. D. Barbour} and \textit{T. C. Brown}, J. Appl. Probab. 33, No. 2, 472--489 (1996; Zbl 0855.60091) Full Text: DOI
Barbour, A. D.; Brown, T. C. Stein’s method and point process approximation. (English) Zbl 0765.60043 Stochastic Processes Appl. 43, No. 1, 9-31 (1992). Reviewer: P.Weiß(Linz) MSC: 60G55 PDFBibTeX XMLCite \textit{A. D. Barbour} and \textit{T. C. Brown}, Stochastic Processes Appl. 43, No. 1, 9--31 (1992; Zbl 0765.60043) Full Text: DOI
Arratia, Richard; Barbour, A. D.; Tavaré, Simon Poisson process approximations for the Ewens sampling formula. (English) Zbl 0756.60006 Ann. Appl. Probab. 2, No. 3, 519-535 (1992). MSC: 60C05 05A05 05A16 92D10 PDFBibTeX XMLCite \textit{R. Arratia} et al., Ann. Appl. Probab. 2, No. 3, 519--535 (1992; Zbl 0756.60006) Full Text: DOI
Barbour, A. D.; Holst, Lars; Janson, Svante Poisson approximation. (English) Zbl 0746.60002 Oxford Studies in Probability. 2. Oxford: Clarendon Press. x, 277 p. (1992). Reviewer: L.Rüschendorf (Münster) MSC: 60A05 60F05 60-02 PDFBibTeX XMLCite \textit{A. D. Barbour} et al., Poisson approximation. Oxford: Clarendon Press (1992; Zbl 0746.60002)
Barbour, A. D.; Kafetzaki, Maria Modeling the overdispersion of parasite loads. (English) Zbl 0739.92013 Math. Biosci. 107, No. 2, 249-253 (1991). MSC: 92D30 60J99 PDFBibTeX XMLCite \textit{A. D. Barbour} and \textit{M. Kafetzaki}, Math. Biosci. 107, No. 2, 249--253 (1991; Zbl 0739.92013) Full Text: DOI