Prof. Dr. Andrew Barbour

Vita

Forschung

Publikationen

Andrew Barbour, Emmanuel Kowalski, Ashkan Nikeghbali (2013). Mod-discrete expansions. Probab. Theory and Related Fields, 158, no. 3-4, 859--893 (2014). [pdf]

Andrew Barbour (2009). Univariate approximations in the infinite occupancy scheme [pdf]

Andrew Barbour, Svante Janson (2009). A functional combinatorial central limit theorem [pdf]

Andrew Barbour, Dominik Heinzmann, P. R. Torgerson (2009). Compound processes as models for clumped parasite data [pdf]

Andrew Barbour, Sanda Nicoleta Socoll (2009). Translated Poisson Approximation to Equilibrium Distributions of Markov Population Processes [pdf]

Andrew Barbour, Sanda Nicoleta Socoll (2009). Local limit approximations for Markov population processes [pdf]

Andrew Barbour, A. V. Gnedin (2008). Small counts in the infinite occupancy scheme [pdf]

Andrew Barbour (2008). Coupling a branching process to an infinite dimensional epidemic process [pdf]

Andrew Barbour, Malwina Luczak (2008). Laws of large numbers for epidemic models with countably many types [pdf]

Andrew Barbour, S. R. Rüegg, Dominik Heinzmann, P. R. Torgerson (2008). Estimating the Transmission Dynamics of Theileria equi and Babesia caballi in horses [pdf]

Andrew Barbour, V. Cekanavicius, A. Xia (2007). On Stein's method and perturbations [pdf]

Andrew Barbour, Torgny Lindvall (2006). Translated Poisson approximation for Markov chains [pdf]

Andrew Barbour, A. Xia (2006). On Stein's factors for Poisson approximation in Wasserstein distance [pdf]

Andrew Barbour, A. V. Gnedin (2006). Regenerative Compositions in the Case of Slow Variation [pdf]

Andrew Barbour, A. Xia (2006). Normal approximation for random sums [pdf]

Andrew Barbour, R. Arratia, Simon Tavaré (2006). A tale of three couplings: Poisson-Dirichlet and GEM approximations for random permutations [pdf]

Andrew Barbour (2005). Testing for evolutionary relationship: an application of mathematics in molecular biology [pdf]

Andrew Barbour, B. Granovsky (2005). Random combinatorial structures: the convergent case [pdf]

R. Arratia, Andrew Barbour, Simon Tavaré (2005). A probabilistic approach to analytic arithmetic on algebraic function fields [pdf]

Andrew Barbour (2005). Multivariate Poisson-Binomial approximation using Stein's method [pdf]

Andrew Barbour, Louis H. Y. Chen (2005). The permutation distribution of matrix correlation statistics [pdf]

Andrew Barbour, A. Pugliese (2003). Convergence of a structured metapopulation model to Levins’s model [pdf]

Andrew Barbour, Kwok Pui Choi (2003). A non–uniform bound for translated Poisson approximation [pdf]

Andrew Barbour, B. Granovsky (2003). Random combinatorial structures: the convergent case. Preprint Nr. 11-2003 (2003) [pdf]

Andrew Barbour, Roman Kälin (2003). The duration of a sequence of epidemics. Preprint Nr. 08-2003 (2003) [pdf]

Andrew Barbour, Gesine Reinert (2003). Discrete small world networks. Preprint Nr. 07-2003 (2003) [pdf]

Sergey Utev, Andrew Barbour (2003). Approximating the Reed-Frost epidemic process. Preprint Nr. 06-2003 (2003) [pdf]

Andrew Barbour, A. Pugliese (2003). Asymptotic behaviour of a metapopulation model. Preprint Nr. 05-2003 (2003) [pdf]

Andrew Barbour, Rob J. de Boer, Sebastian Bonhoeffer (2002). Procedures for reliable estimation of viral fitness from time series data [pdf]

Andrew Barbour, K. Isler, R. D. Martin (2002). Line fitting by rotation: a non-parametric method for bivariate allometric analysis [pdf]

Andrew Barbour, A. Xia (2001). The number of two dimensional maxima. to appear in Adv. Appl. Prob. (SGSA) (2001) [pdf]

Andrew Barbour, R. Arratia, Simon Tavaré (2001). Logarithmic combinatorial structures: a probabilistic approach.. Book, preprint (2001)

Andrew Barbour (2001). Topics in Poisson approximation. In: Stochastic Processes: Theory and Methods, Handbook of Statistics, Eds D. N. Shanbhag and C. R. Rao, Elsevier Science, 79-115 (2001)

Andrew Barbour, O. Chryssaphinou, E. Vaggelatou (2001). Applications of compound Poisson approximation. In: Probability and Statistical Models with Applications, Eds. Ch. A. Charalambides, M. V. Koutras and N. Balakrishnan, Chapman and Hall, Boca Raton, 41-62 (2001)

Andrew Barbour, Gesine Reinert (2001). Small worlds. Random Struct. Alg. 19, 54-74 (2001) [pdf]

Andrew Barbour, V. Schmidt (2001). On Laslett's transform for the Boolean model.. Adv. Appl. Prob. (SGSA) 33, 1-5 (2001)

Andrew Barbour, O. Chryssaphinou (2001). Compound Poisson approximation: a user's guide. to appear in Ann. Appl. Prob. [pdf]

Andrew Barbour, M. Månsson (2001). Compound Poisson process approximation. to appear in Ann. Prob. [pdf]

Andrew Barbour, K. Isler, R. D. Martin (2001). Line fitting by rotation: a non-parametric method for bivariate allometric analysis. to appear in Biometrical Journal

Andrew Barbour, V. Cekanavicius (2001). Total variation asymptotics for sums of independent integer random variables. Preprint Nr. 07-01 (2001) [pdf]

Andrew Barbour, V. Schmidt (2001). On Laslett's Transform for the Boolean Model. Preprint Nr. 06-01 (2001) [pdf]

Andrew Barbour, R. Gerrard, Gesine Reinert (2000). Iterates of expanding maps. Prob. Theory Rel. Fields 116, 151-180 (2000)

Andrew Barbour, S.N. Ethier, R.C. Griffiths (2000). A transition function expansion for a diffusion model with selection. Ann. Appl. Prob. 10, 123-162 (2000)

Andrew Barbour, M. Månsson (2000). Compound Poisson approximation and the clustering of random points. Adv. Appl. Prob. (SGSA) 32, 19-38 (2000)

Andrew Barbour, A. Xia (2000). Estimating Stein's constants for compound Poisson approximation. Bernoulli 6, 581-590 (2000)

Andrew Barbour, R. Arratia, Simon Tavaré (2000). The number of components in a logarithmic combinatorial structure. Ann. Appl. Prob. 10, 331-361 (2000)

Andrew Barbour, A. Pugliese (2000). On the variance--to--mean ratio in models of parasite distributions. Adv. Appl. Prob. 32, 701-719 (2000)

Andrew Barbour, R. Arratia, Simon Tavaré (2000). Limits of logarithmic combinatorial structures. Ann. Prob. 28, 1620-1644 (2000)

Andrew Barbour, R. Arratia, Simon Tavaré (1999). On Poisson--Dirichlet limits for random decomposable combinatorial structures. Combin. Prob. Computing 8, 193-208 (1999)

Andrew Barbour, W.U. Blanckenhorn, M. Reuter, P.I. Ward (1999). Correcting for sampling bias in quantitative measures of selection when fitness is binary. Evolution 53, 286-291 (1999)

Andrew Barbour, Sergey Utev (1999). Compound Poisson approximation in total variation. Stoch. Procs Applics 82, 89-125 (1999)

Andrew Barbour, P.K. Argos, Ph. Christen, P. Mehta (1999). Recognizing very distant sequence relationships amongst proteins by Family Profile Analysis. Proteins 35, 387-400 (1999)

Andrew Barbour, A. Xia (1999). Poisson perturbations. ESAIM: P&S 3, 131-150 (1999)

Andrew Barbour, S.Y. Novak, A. Xia (1999). Compound Poisson approximation for the distribution of extremes. TU Eindhoven: EURANDOM Res. Rept No. 99-040 (1999)

Andrew Barbour, Sergey Utev (1998). Solving the Stein Equation in compound Poisson approximation. Adv. Appl. Probab. 30, 449-475 (1998)

Andrew Barbour, T.C. Brown, A. Xia (1998). Point processes in time and Stein's method. Stochastics 65, 127-151 (1998)

Andrew Barbour, G.A. Funk, H. Hengartner, U. Kalinke (1998). Mathematical model of a virus--neutralizing immunoglobin response. J. Theor. Biol. 195, 41-52 (1998)

Andrew Barbour, A.P. Godbole, J. Qian (1997). Imperfections in random tournaments. Combinatorics, Probability and Computing 6, 1-15

Andrew Barbour, R.M. Phatarfod (1997). Dimensioning a multiple hashing scheme. J. Appl. Probab. 34, 477-486 (1997)

Andrew Barbour, J.A.P. Heesterbeek, Christoph Luchsinger (1997). Thresholds and initial growth rates in a model of parasitic infection. Ann. Appl. Prob. 6, 1045-1074 (1997)

Andrew Barbour (1997). Stein's method. Encyclopaedia of Statistical Sciences, Update, Vol.1, Wiley, New York, 513-521

Andrew Barbour, R. Arratia, Simon Tavaré (1997). Random combinatorial structures and prime factorizations. Notices of the AMS 44, 903-910 (1997)

Andrew Barbour, Svante Janson, L. Holst (1992). Poisson approximation. Oxford University Press (1992)