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Number of items: 137.

Bichsel, Manuel; Barbour, A D; Wagner, Andreas (2013). Estimating the fitness effect of an insertion sequence. Journal of Mathematical Biology, 66(1-2):95-114.

Barbour, A D; Luzcak, M J (2012). A law of large numbers approximation for Markov population processes with countably many types. Probability Theory and Related Fields, 153(3-4):727-757.

Rossetti, V; Filippini, M; Svercel, M; Barbour, A D; Bagheri, Homayoun C (2011). Emergent multicellular life cycles in filamentous bacteria owing to density-dependent population dynamics. Journal of the Royal Society Interface, 8(65):1772-1784.

Barbour, A D; Nietlispach, B (2011). Approximation by the Dickman distribution and quasi-logarithmic combinatorial structures. Electronic Journal of Probability, 16:880-902.

Heinzmann, D; Barbour, A D; Torgerson, P R (2011). A mechanistic individual-based two-host interaction model for the transmission of a parasitic disease. International Journal of Biomathematics, 4(4):443-460.

Heinzmann, D; Barbour, A D; Torgerson, P R (2011). Shot noise processes for clumped parasite infections with time-dependent decay dynamics. Biostatistics, Bioinformatics and Biomathematics, 2(2):83-201.

Barbour, A D; Reinert, G (2011). The shortest distance in random multi-type intersection graphs. Random Structures & Algorithms, 39(2):179-209.

Bichsel, M; Barbour, A D; Wagner, A (2010). The early phase of a bacterial insertion sequence infection. Theoretical Population Biology, 78(4):278-288.

Barbour, A D; Johnson, O; Kontoyiannis, I; Madiman, M (2010). Compound poisson approximation via information functionals. Electronic Journal of Probability, 15(42):1344-1369.

Barbour, A D; Tavaré, S (2010). Assessing molecular variability in cancer genomes. In: Bingham, N H; Goldie, C M; Kingman, J F C. Probability and mathematical genetics. Cambridge: Cambridge Univ. Press, 91-112.

Annals of applied probability. Edited by: Barbour, A D; Kelly, P; Phelan, M (2010). Harward: Institute of Mathematical Statistics.

Socoll, S N; Barbour, A D (2010). Translated Poisson approximation to equilibrium distributions of Markov population processes. Methodology and Computing in Applied Probability, 12(4):567-586.

Barbour, A D; Janson, S (2009). A functional combinatorial central limit theorem. Electronic Journal of Probability, 14:2352-2370.

Barbour, A D; Gnedin, A (2009). Small counts in the infinite occupancy scheme. Electronic Journal of Probability, 14(13):365-384.

Heinzmann, D; Barbour, A D; Torgerson, P R (2009). Compound processes as models for clumped parasite data. Mathematical Biosciences, 222(1):27-35.

Barbour, A D (2009). Coupling a branching process to an infinite dimensional epidemic process. ESAIM: Probability and Statistics, 14:53-64.

Barbour, A D; Lindvall, T (2009). Erratum: Translated Poisson approximation for Markov chains. Journal of Theoretical Probability, 22(1):279-280.

Barbour, A D; Socoll, S (2009). Local limit approximations for Markov population processes. Journal of Applied Probability, 46(3):690-708.

Barbour, A D (2009). Univariate approximations in the infinite occupancy scheme. ALEA Latin American Journal of Probability and Mathematical Statistics, 6:415-433.

Rüegg, S R; Heinzmann, D; Barbour, A D; Torgerson, P R (2008). Estimation of the transmission dynamics of Theileria equi and Babesia caballi in horses. Parasitology, 135(5):555-65.

Barbour, A D; Luczak, M J (2008). Laws of large numbers for epidemic models with countably many types. Annals of Applied Probability, 18(6):2208-2238.

Barbour, A D; Cekanavicius, V; Xia, A (2007). On Stein's method and perturbations. ALEA Latin American Journal of Probability and Mathematical Statistics, 3:31-53.

Barbour, A D; Reinert, G (2006). Discrete small world networks. Electronic Journal of Probability, 11(47):1234-1283.

Arratia, R; Barbour, A D; Tavaré, S (2006). A tale of three couplings: Poisson-Dirichlet and GEM approximations for random permutations. Combinatorics, Probability & Computing, 15(1-2):31-62.

Barbour, A D; Xia, A (2006). Normal approximation for random sums. Advances in Applied Probability, 38(3):693-728.

Barbour, A D; Xia, A (2006). On Stein‘s factors for Poisson approximation in Wasserstein distance. Bernoulli, 12(6):943-954.

Barbour, A D; Gnedin, A (2006). Regenerative compositions in the case of slow variation. Stochastic Processes and their Applications, 116(7):1012-1047.

Barbour, A D; Lindvall, T (2006). Translated Poisson approximation for Markov chains. Journal of Theoretical Probability, 19(3):609-630.

Hulf, T; Bellosta, P; Furrer, M; Steiger, D; Svensson, D; Barbour, A D; Gallant, P (2005). Whole-genome analysis reveals a strong positional bias of conserved dMyc-dependent E-boxes. Molecular and Cellular Biology, 25(9):3401-3410.

Arratia, R; Barbour, A D; Tavaré, S (2005). A probabilistic approach to analytic arithmetic on algebraic function fields. Mathematical Proceedings of the Cambridge Philosophical Society, 139(1):1-26.

An introduction to Stein‘s method. Edited by: Barbour, A D; Chen, L H Y (2005). Singapore: Singapore University Press.

Barbour, A D; Pugliese, A (2005). Asymptotic behavior of a metapopulation model. Annals of Applied Probability, 15(2):1306-1338.

Barbour, A D (2005). Multivariate Poisson-binomial approximation using Stein‘s method. In: Barbour, A D; Chen, L H Y. Stein‘s method and applications. Singapore: Singapore Univ. Press, 131-142.

Barbour, A D; Granovsky, B (2005). Random combinatorial structures: the convergent case. Journal of Combinatorial Theory, Series A, 109(2):203-220.

Stein‘s method and applications. Edited by: Barbour, A D; Chen, L H Y (2005). Singapore: World Scientific Publishing.

Barbour, A D (2005). Testing for evolutionary relationship: an application of mathematics in molecular biology. Cosmos, 1(1):29-45.

Barbour, A D; Chen, L H Y (2005). The permutation distribution of matrix correlation statistics. In: Barbour, A D; Chen, L H Y. Stein‘s method and applications. Singapore: World Scientific Publishing, 223-245.

Barbour, A D; Utev, S (2004). Approximating the Reed-Frost epidemic process. Stochastic Processes and their Applications, 113(2):173-197.

Barbour, A D; Choi, K (2004). A non-uniform bound for translated Poisson approximation. Electronic Journal of Probability, 9(2):18-36.

Barbour, A D; Pugliese, A (2004). Convergence of a structured metapopulation model to Levins's model. Journal of Mathematical Biology, 49(5):468-500.

Barbour, A D; Reinert, G (2004). Correction: Small worlds. Random Structures & Algorithms, 25(1):115.

Arratia, R; Barbour, A D; Tavaré, S (2003). Logarithmic combinatorial structures: a probabilistic approach. Zürich: European Mathematical Society (EMS).

Isler, K; Barbour, A D; Martin, R D (2002). Line-Fitting by rotation: A nonparametric method for bivariate allometric analysis. Biometrical Journal, 44(3):289-304.

Barbour, A D; Novak, S; Xia, A (2002). Compound Poisson approximation for the distribution of extremes. Advances in Applied Probability, 34(1):223-240.

Barbour, A D; Månsson, M (2002). Compound Poisson process approximation. The Annals of Probability, 30(3):1492-1537.

Barbour, A D; Cekanavicius, V (2002). Total variation asymptotics for sums of independent integer random variables. The Annals of Probability, 30(2):509-545.

Barbour, A D; Chryssaphinou, O (2001). Compound Poisson approximation: a user's guide. Annals of Applied Probability, 11(3):964-1002.

Barbour, A D; Schmidt, V (2001). On Laslett's transform for the Boolean model. Advances in Applied Probability, 33(1):1-5.

Barbour, A D; Reinert, G (2001). Small worlds. Random Structures & Algorithms, 19(1):54-74.

Barbour, A D; Xia, A (2001). The number of two-dimensional maxima. Advances in Applied Probability, 33(4):727-750.

Barbour, A D (2001). Topics in Poisson approximation. In: Shanbhag, D N; Rao, C R. Stochastic processes: theory and methods. Amsterdam: Elsevier, 79-115.

Barbour, A D; Ethier, S; Griffiths, R (2000). A transition function expansion for a diffusion model with selection. Annals of Applied Probability, 10(1):123-162.

Barbour, A D; Månsson, M (2000). Compound Poisson approximation and the clustering of random points. Advances in Applied Probability, 32(1):19-38.

Barbour, A D; Xia, A (2000). Estimating Stein's constants for compound Poisson approximation. Bernoulli, 6(4):581-590.

Barbour, A D; Gerrard, R; Reinert, G (2000). Iterates of expanding maps. Probability Theory and Related Fields, 116(2):151-180.

Arratia, R; Barbour, A D; Tavaré, S (2000). Limits of logarithmic combinatorial structures. The Annals of Probability, 28(4):1620-1644.

Barbour, A D; Pugliese, A (2000). On the variance-to-mean ratio in models of parasite distributions. Advances in Applied Probability, 32(3):701-719.

Arratia, R; Barbour, A D; Tavaré, S (2000). The number of components in a logarithmic combinatorial structure. Annals of Applied Probability, 10(2):331-361.

Barbour, A D; Utev, S (1999). Compound Poisson approximation in total variation. Stochastic Processes and their Applications, 82(1):89-125.

Arratia, R; Barbour, A D; Tavaré, S (1999). On Poisson-Dirichlet limits for random decomposable combinatorial structures. Combinatorics, Probability & Computing, 8(3):193-208.

Barbour, A D; Xia, A (1999). Poisson perturbations. ESAIM: Probability and Statistics, 3:131-150.

Arratia, R; Barbour, A D; Tavaré, S (1999). The Poisson-Dirichlet distribution and the scale-invariant Poisson process. Combinatorics, Probability & Computing, 8(5):407-416.

Barbour, A D; Brown, T; Xia, A (1998). Point processes in time and Stein's method. Stochastics and Stochastics Reports, 65(1-2):127-151.

Barbour, A D; Utev, S (1998). Solving the Stein equation in compound Poisson approximation. Advances in Applied Probability, 30(2):449-475.

Barbour, A D; Tavaré, S (1997). A rate for the Erdös–Turán law. In: Bollobás, B; Thomason, A. Combinatorics, geometry and probability (Cambridge, 1993). Cambridge: Cambridge University Press, 71-80.

Barbour, A D; Phatarfod, R (1997). Dimensioning a multiple hashing scheme. Journal of Applied Probability, 34(2):477-486.

Barbour, A D; Godbole, A; Qian, J (1997). Imperfections in random tournaments. Combinatorics, Probability & Computing, 6(1):1-15.

Arratia, R; Barbour, A D; Tavaré, S (1997). Random combinatorial structures and prime factorizations. Notices of the American Mathematical Society, 44(8):903-910.

Barbour, A D; Brown, T (1996). Approximate versions of Melamed's theorem. Journal of Applied Probability, 33(2):472-489.

Barbour, A D (1996). Chance and chaos. Elemente der Mathematik, 51(2):57-63.

Barbour, A D; Chryssaphinou, Ourania; Roos, Malgorzata (1996). Compound Poisson approximation in systems reliability. Naval Research Logistics, 43(2):251-264.

Barbour, A D; Heesterbeek, J A P; Luchsinger, C J (1996). Thresholds and initial growth rates in a model of parasitic infection. Annals of Applied Probability, 6(4):1045-1074.

Barbour, A D; Chryssaphinou, Ourania; Roos, Malgorzata (1995). Compound Poisson approximation in reliability theory. IEEE Transactions on Reliability, 44(3):398-402.

Barbour, A D; Chen, L; Choi, K (1995). Poisson approximation for unbounded functions. I. Independent summands. Statistica Sinica, 5(2):749-766.

Barbour, A D; Grübel, R (1995). The first divisible sum. Journal of Theoretical Probability, 8(1):39-47.

Barbour, A D; Tavaré, S (1994). A rate for the Erdős-Turán law. Combinatorics, Probability & Computing, 3(2):167-176.

Barbour, A D (1994). Threshold phenomena in epidemic theory. In: Kelly, F P. Probability, statistics and optimisation. Chichester: Wiley, 101-116.

Barbour, A D; Kafetzaki, M (1993). A host-parasite model yielding heterogeneous parasite loads. Journal of Mathematical Biology, 31(2):157-176.

Barbour, A D; Costi, M (1993). Correlation tests for nonlinear alternatives. Royal Statistical Society. Journal. Series B: Statistical Methodology, 55(2):541-548.

Arratia, R; Barbour, A D; Tavaré, S (1993). On random polynomials over finite fields. Mathematical Proceedings of the Cambridge Philosophical Society, 114(2):347-368.

Barbour, A D; Greenwood, P (1993). Rates of Poisson approximation to finite range random fields. Annals of Applied Probability, 3(1):91-102.

Barbour, A D; Chen, L; Loh, W-L (1992). Compound Poisson approximation for nonnegative random variables via Stein's method. The Annals of Probability, 20(4):1843-1866.

Barbour, A D (1992). On the binary expansion of a random integer. Statistics and Probability Letters, 14(3):235-241.

Barbour, A D; Holst, L; Janson, S (1992). Poisson approximation. New York: The Clarendon Press Oxford University Press.

Arratia, R; Barbour, A D; Tavaré, S (1992). Poisson process approximations for the Ewens sampling formula. Annals of Applied Probability, 2(3):519-535.

Barbour, A D (1992). Refined Approximations for the ewens sampling formula. Random Structures & Algorithms, 3(3):267-276.

Barbour, A D; Brown, T (1992). Stein's method and point process approximation. Stochastic Processes and their Applications, 43(1):9-31.

Barbour, A D; Brown, T (1992). The Stein-Chen method, point processes and compensators. The Annals of Probability, 20(3):1504-1527.

Barbour, A D (1991). Modeling the overdispersion of parasite loads. Mathematical Biosciences, 107(2):249-253.

Barbour, A D; Lindvall, T; Rogers, L (1991). Stochastic ordering of order statistics. Journal of Applied Probability, 28(2):278-286.

Ball, F; Barbour, A D (1990). Poisson approximation for some epidemic models. Journal of Applied Probability, 27(3):479-490.

Barbour, A D; Janson, S; Karonski, M; Rucinski, A (1990). Small cliques in random graphs. Random Structures & Algorithms, 1(4):403-434.

Barbour, A D (1990). Stein's method for diffusion approximations. Probability Theory and Related Fields, 84(3):297-322.

Barbour, A D; Karonski, A (1989). A central limit theorem for decomposable random variables with applications to random graphs. Journal of Combinatorial Theory. Series B, 47(2):125-145.

Barbour, A D; Jensen, J (1989). Local and tail approximations near the Poisson limit. Scandinavian Journal of Statistics, 16(1):75-87.

Barbour, A D; Holst, L (1989). Some applications of the Stein-Chen method for proving Poisson convergence. Advances in Applied Probability, 21(1):74-90.

Barbour, A D (1988). Stein's method and Poisson process convergence. Journal of Applied Probability, (Special Vol. 25A):175-184.

Barbour, A D; Eagleson, G K (1987). An improved Poisson limit theorem for sums of dissociated random variables. Journal of Applied Probability, 24(3):586-599.

Barbour, A D (1987). Asymptotic expansions in the Poisson limit theorem. The Annals of Probability, 15(2):748-766.

Barbour, A D (1986). Asymptotic expansions based on smooth functions in the central limit theorem. Probability Theory and Related Fields, 72(2):289-303.

Schatzmann, E; Gerrard, R; Barbour, A D (1986). Measures of niche overlap. I. IMA J. Math. Appl. Med. Biol., 3(2):99-113.

Gerrard, R; Barbour, A D (1986). Measures of niche overlap. II. IMA J. Math. Appl. Med. Biol., 3(2):115-127.

Barbour, A D (1986). Pointwise convergence of densities under iteration of Ulam and von Neumann's map. Journal of Physics A: Mathematical and General, 19(18):3921-3922.

Barbour, A D; Eagleson, G K (1986). Random association of symmetric arrays. Stochastic Analysis and Applications, 4(3):239-281.

Barbour, A D; Eagleson, G K (1986). Tests for space-time clustering. In: Tatu, P. Stochastic Spatial Processes: Mathematical Theories and Biological Applications. Berlin: Springer, 42-51.

Barbour, A D; Cartwright, D I; Donnelly, J B; Eagleson, G K (1985). A new rank test for the K-sample problem. Communications in Statistics. Theory and Methods, 14(6):1471-1484.

Barbour, A D; Eagleson, G K (1985). Multiple comparisons and sums of dissociated random variables. Advances in Applied Probability, 17(1):147-162.

Barbour, A D; Hall, P (1985). On bounds to the rate of convergence in the central limit theorem. Bulletin of the London Mathematical Society, 17(2):151-156.

Barbour, A D; Hall, P (1984). On the rate of Poisson convergence. Mathematical Proceedings of the Cambridge Philosophical Society, 95(3):473-480.

Barbour, A D; Eagleson, G K (1984). Poisson convergence for dissociated statistics. Journal of the Royal Statistical Society. Series B, 46(3):397-402.

Hall, P; Barbour, A D (1984). Reversing the Berry-Esseen inequality. Proceedings of the American Mathematical Society, 90(1):107-110.

Barbour, A D; Hall, P (1984). Stein's method and the Berry-Esseen theorem. Australian Journal of Statistics, 26(1):8-15.

Barbour, A D (1983). Extreme values of Markov population processes. Stochastic Processes and their Applications, 14(3):297-313.

Barbour, A D; Eagleson, G K (1983). Poisson approximation for some statistics based on exchangeable trials. Advances in Applied Probability, 15(3):585-600.

Barbour, A D (1982). Generalized semi-Markov schemes and open queueing networks. Journal of Applied Probability, 19(2):469-474.

Barbour, A D (1982). Poisson convergence and random graph. Mathematical Proceedings of the Cambridge Philosophical Society, 92(2):349-359.

Barbour, A D (1981). Brownian motion and a sharply curved boundary. Advances in Applied Probability, 13(4):736-750.

Barbour, A D; Schassberger, R (1981). Insensitive average residence times in generalized semi-Markov processes. Advances in Applied Probability, 13(4):720-735.

Barbour, A D (1980). Density dependent Markov population processes. In: Jäger, W; Rost, H; Tautu, P. Biological growth and spread (Proc. Conf., Heidelberg 1979). Berlin: Springer, 36-49.

Barbour, A D (1980). Equilibrium distributions for Markov population processes. Advances in Applied Probability, 12(3):591-614.

Barbour, A D; Schuh, H (1979). Functional normalization for the branching process with infinite mean. Journal of Applied Probability, 16(3):513-525.

Barbour, A D; Pakes, A (1979). Limit theorems for the simple branching process allowing immigration. II. The case of infinite offspring mean. Advances in Applied Probability, 11(1):63-72.

Barbour, A D (1979). On sequential versions of the generalized likelihood ratio test. Mathematical Proceedings of the Cambridge Philosophical Society, 86(1):85-90.

Barbour, A D (1978). A stochastic model for the transmission of bilharzia. Mathematical Biosciences, 38(3-4):303-312.

Barbour, A D (1978). Macdonald's model and the transmission of bilharzia. Transactions of the Royal Society of Tropical Medicine and Hygiene, 72(1):6-15.

Barbour, A D (1977). Breakpoint phenomena, and the initial stages of the transmission of bilharzia. In: Proceedings of the 41st Session of the International Statistical Institute (New Delhi, 1977), Vol. 2. International Statistical Institute, 22-30, 61.

Schuh, H; Barbour, A D (1977). On the asymptotic behaviour of branching processes with infinite mean. Advances in Applied Probability, 9(4):681-723.

Barbour, A D (1977). The uniqueness of Atkinson and Reuter‘s epidemic waves. Mathematical Proceedings of the Cambridge Philosophical Society, 82(1):127-130.

Barbour, A D (1976). Networks of queues and the method of stages. Advances in Applied Probability, 8(3):584-591.

Barbour, A D (1976). Quasi-stationary distributions in Markov population processes. Advances in Applied Probability, 8(2):296-314.

Barbour, A D (1975). A note on the maximum size of a closed epidemic. Royal Statistical Society. Journal. Series B: Statistical Methodology, 37(3):459-460.

Barbour, A D (1975). Duration of closed stochastic epidemic. Biometrika, 62(2):477-482.

Barbour, A D (1975). Limit theorems for processes such as the Markov branching process. Journal of Applied Probability, 12:289-297.

Barbour, A D (1975). The asymptotic behaviour of birth and death and some related processes. Advances in Applied Probability, 7:28-43.

Barbour, A D (1974). On a functional central limit theorem for Markov population processes. Advances in Applied Probability, 6:21-39.

Barbour, A D (1974). Tail sums of convergent series of independent random variables. Mathematical Proceedings of the Cambridge Philosophical Society, 75:361-364.

Barbour, A D (1972). The principle of the diffusion of arbitrary constants. Journal of Applied Probability, 9:519-541.

This list was generated on Tue Oct 17 17:43:33 2017 CEST.