Gesine Reinert’s Publications
- J. Ren, X. Bai, Y. Y. Lu, K. Tang, Y. Wang, G. Reinert, F. Sun (2018). Alignment-Free Sequence Analysis and Applications. Annual Review of Biomedical Data Science 1:1, 93-114.
- O. Kley, C. Klüppelberg, and G. Reinert (2018). Conditional risk measures in a bipartite market structure. Scandinavian Actuarial Journal 2018 (4) (2018), 328-355.
- A.E. Wegner, L. Ospina-Forero, R.E. Gaunt, C.M. Deane, and G. Reinert, G. (2018). Identifying networks with common organizational principles. Journal of Complex Networks, Apr 2.
- M.A. Riolo, G.T. Cantwell, G. Reinert, and M.E.J. Newman (2017). Efficient method for estimating the number of communities in a network. Physical Review E 96(3): ARTN 032310
- A. Elliott, E. Leicht, A. Whitmore, G. Reinert, and F. Reed-Tsochas (2017). A nonparametric significance test for sampled networks. Bioinformatics 34(1), 64-71.
- C. Ley, G. Reinert and Y. Swan (2017). Distances between nested densities and a measure of the impact of the prior in Bayesian statistics. Annals of Applied Probability 27(1):216-241.
- R. Gaunt, A. Pickett and G. Reinert (2017). Chi-square approximation by Stein’s method with application to Pearson’s statistic. Annals of Applied Probability 27(2), 720-756.
- A. Anastasiou and G. Reinert (2017). Bounds for the normal approximation of the maximum likelihood estimator. Bernoulli 23(1) , 191-218.
- C.Ley, G. Reinert and Y. Swan (2017). Stein’s method for comparison of univariate distributions. Probability Surveys 14, 1-52.
M. E. J. Newman and G. Reinert (2016). Estimating the number of communities in a network. Phys. Rev. Lett. 117, 078301. - W. Ali, A. E. Wegner, R.E. Gaunt, C. M. Deane and G. Reinert (2016). Comparison of large networks with sub-sampling strategies. Scientific Reports 6, 28955..
- M. Coulson, R. E. Gaunt and G. Reinert (2016). Poisson approximation of subgraph counts in stochastic block models and a graphon model. ESAIM: PS 20 , 131–142.
- O. Kley, C. Klüppelberg, and G. Reinert (2016). Risk in a Large Claims Insurance Market with Bipartite Graph Structure. Operations Research 64(5), 1159-1176.
- Ren, J., Song, K., Deng, M., Reinert, G., Cannon, C.H., & Sun, F. (2015). Inference of Markovian Properties of Molecular Sequences from NGS Data and Applications to Comparative Genomics. Bioinformatics.
- C. Ley, G. Reinert and Y. Swan (2014). Approximate computation of expectations : a canonical Stein operator. Preprint.
- L. Goldstein and G. Reinert (2013) Stein’s method for the Beta distribution and the Pòlya-Eggenberger Urn. Journal of Applied Probability 4
- A.D. Barbour and G. Reinert (2013) Asymptotic behaviour of gossip processes and small-world networks. Advances in Applied Probability 45, 895-1201.
- K. Song, J. Ren, G. Reinert, M. Deng, M. S. Waterman and F. Sun (2013) New developments of alignment-free sequence comparison: measures, statistics and next-generation sequencing. Briefings in Bioinformatics, 10.1093/bib/bbt067.
- J. Ren, K. Song, F. Sun, M. Deng and G. Reinert (2013) Multiple Alignment-free Sequence Comparison. Bioinformatics, Vol 29, Issue 21, 2690-2698.
- A.D. Barbour and G. Reinert (2013 issue 18) Approximating the epidemic curve. Electronic Journal of Probability, No. 54, ISSN: 1083-6489.
- Q. Luo, R. Hamer, G. Reinert and C.M. Deane (2013 issue 8(3)) Local Network Patterns in Protein-Protein Interfaces. PLOS ONE, e5703.
- M. Gomes, R. Hamer, G. Reinert, C.M. Deane. (2012) Mutual information and variants for protein domain-domain contact prediction. BMC Research Notes 2012, 5:472. DOI: 10.1186/1756-0500-5-472.
- T. Rito, C.M. Deane, and G. Reinert. (2012) The importance of age and high degree, in Protein-Protein interaction networks. Journal of Computational Biology, 19(6): 785-795.
- Z. Zhai., G. Reinert, K. Song, M.S. Waterman, Y. Luan, and F. Sun. (2012) Normal and Compound Poisson Approximations for Pattern Occurences in NGS Reads. Journal of Computational Biology. 19(6):839-854.
- K. Lin and G. Reinert. (2012) Joint vertex degrees in the inhomogeneous random graph model G(n, {Pij.}), Adv. Applied Probability 44, 139-165.
- A.D.Barbour and G. Reinert (2011) The shortest distance in random multi-type intersection graphs. Random Structures and Algorithms, 39, 179-209.
- X. Liu, L.Wan, G. Reinert, M.S. Waterman, F. Sun, J. Li (2011) New powerful statistics for alignment-free sequence comparison under a pattern transfer model. Journal of Theoretical Biology, 284, 106-116
- W. Ali, C. Deane and G. Reinert (2011) Protein Interaction Networks and Their Statistical Analysis. Handbook of Statistical Systems Biology (eds M.P.H. Stumpf, D.J. Balding and M. Girolami), John Wiley & Sons Ltd, Chichester, UK.*nbsp;
- G. Reinert (2011) Gaussian approximation of functionals: Malliavin calculus and Stein’s method. Surveys in Stochastic Processes (eds: J. Blath, P. Imkeller and S. Roelly), European Mathematical Society Publishing House, Zurich, pp. 107-126.
- I. Nourdin, G. Peccati and G.Reinert (2010) Stein’s method and stochastic analysis of Rademacher functionals.
- I. Nourdin, G. Peccati and G. Reinert (2010) Invariance principles for homogeneous sums: universality of Gaussian Wiener chaos. The Annals of Probability 38, 1947-1985.
- G. Reinert and A. Röllin (2010) U-statistics and random subgraph counts: Multivariate normal approximation via exchangeable pairs and embedding. J. Appl. Probab. 47 (2010). In Press.
- T. Rito, Z. Wang, G. Reinert and C.M. Deane (2010) How threshold behaviour affects the use of subgraphs for network comparison. Bioinformatics, 26 (18), vi611-7.
- R. Hamer, Q. Luo, J. P. Armitage,G. Reinert and C.M. Deane (2010) i-Patch: Inter-Protein Contact Prediction using Local Network Information. Proteins 78 (13), 2781-97.
- R. Hamer, P-Y. Chen, J.P. Armitage,G. Reinert and C.M. Deane (2010) Deciphering chemotaxis pathways using cross species comparisons. BMC Systems Biology 2010, 4:3 (11 January 2010)
- Z.Y. Zhai, S.Y. Ku, Y.H. Luan, G. Reinert, M.S. Waterman and F.Z. Sun (2010) The Power of Detecting Enriched Patterns: An HMM Approach. Journal of Computational Biology, 17(4):581-592.
- Lin Wan, Gesine Reinert, Fengzhu Sun, and Michael S. Waterman. Alignment-free Sequence Comparison (II) : Theoretical Power of Comparison Statistics. Journal of Computational Biology. November 2010, 17(11): 1467-1490
- G. Reinert and A. Roellin, Multivariate normal approximation with Stein’s method of exchangeable pairs under a general linearity condition. The Annals of Probability, 37 (2009), 2150-2173
- Gesine Reinert, David Chew, Fengzhu Sun, Michael S. Waterman, ‘Alignment-Free Sequence Comparison (I): Statistics and Power’ in Journal of Computational Biology, 16 (2009), 1-20
- I. Nourdin, G. Peccati and G. Reinert, ‘Second order Poincaré inequalities and CLTs on Wiener space’ in Journal of Functional Analysis, 257 (2009), 593-609, arXiv:0811.4485
- J.-P. Onnela, N.F. Johnson, S. Gourley, G. Reinert and M. Spagat, ‘Sampling bias in systems with structural heterogeneity and limited internal diffusion’ in Europhysics Letters. 85 (2009), 28001
- Pao-Yang Chen, Charlotte M. Deane and Gesine Reinert, ‘Predicting and Validating Protein Interactions Using Network Structure’ in PLoS Computational Biology, 4 (2008), e1000118
- G Reinert, M.S. Waterman (2008) On the length of the longest exact position match in Markov sequence. IWAP (International Workshop on Applied Probability) 2008 Conference Proceedings, to appear. Pdf file. Extended version
- P. Eichelsbacher and G. Reinert, ‘Stein’s method for discrete Gibbs measures’ in The Annals of Probability, 18 (2008), –1618
- Johnson, N.F., Spagat, M., Gourley, S., Onnela, J.P., Reinert, G. (2008) Bias in epidemiological studies of conflict mortality. Journal of Peace Research, 45 (5), 653-663.
- Crowcroft, J., Allsop, R., Smith, A.P., Varaiya, P., Gibbens, R., Bell, M., Key, P., Borst, S., Reinert, G., Briggs, K., Mondragon, R., Zhou, S., Srikant, R., Wischik, D., Atkinson, R.J., Smith, M., Patriksson, M., Ralph, D., Kirby, H.R., Brooke, J.M., Kelly, F., Odlyzko, A., Raina, G. (2008) Optimal resource allocation for multicast sessions in multi-hop wireless networks – Discussion. Philos. T.R. Soc. A 366 (1872):2075-2092 13 Jun 2008
- Pao-Yang Chen, Charlotte M. Deane and Gesine Reinert, A Statistical Approach Using Network Structure in the Prediction of Protein Characteristics Bioinformatics 23 (2007), 2314-2321
- G. Reinert and M.S. Waterman,On the length of the longest exact position match in a random sequence, Transactions of Computational Biology and Bioinformatics, 4 (2007), 153-156
- Snijders, T.A.B., Robinson, T., Atkinson, A.C., Riani, M., Gormley, I.C., Murphy, T.B., Sweeting, T., Leslie, D.S., Longford, N.T., Kent, J.T., Lawrance, T., Airoldi, E.M., Besag, J., Blei, D., Fienberg, S.E., Breiger, R., Butts, C.T., Doreian, P., Batageli, V., Ferligoj, A., Draper, D., van Duijn M.A.J., Faust, K., Petrescu-Prahova, M., Forster, J.J., Gelman, A., Goodreau, S.M., Greenwood, P.E., Gruenberg, K., Francis, B., Hennig, C., Hoff, P.D., Hunter, D.R., Husmeier, D., Glasbey, C., Krackhardt, D., Kuha, J., Skrondal, A., Lawson, A., Liao, T.F., Mendes, B., Draper, D., Reinert, G., Richardson, S., Lewin, A., Titterington, D.M., Wasserman, S., Werhil, A.V., Ghazal, P. (2007). Discussion on the paper by Handcock, Raftery and Tantrum.J. Roy. Stat. Soc. A STA 170:322-354 Feb 2007
- L. Goldstein and G. Reinert, ‘Total Variation Distance for Poisson Subset Numbers’ in Annals of Combinatorics, 10 (2006), 331-341
- A.D. Barbour and G. Reinert. Discrete small world networks. Electronic Journal of Probability 11 (2006), 1234—1283. [PDF version]
- L. Goldstein and G. Reinert. Distributional transformations, orthogonal polynomials, and Stein characterizations. Journal of Theoretical Probability, 18 (2005), 185-208. [PDF version]
This paper also appeared in Russian translation, Obozr. Prikl. Prom. Mat., (OP&PM Surveys in Applied and Industrial Mathematics) 2006, v. 13, No. 1, pp. 28—50. - L. Goldstein and G. Reinert (2005) Zero biasing in one and higher dimensions, and applications. In: Proceedings of the conference in honor of Charles Stein, A.D. Barbour, L.H.Y. Chen, eds. World Scientific, Singapore (2005), 1-18. Last draft: Pdf file
- G. Reinert (2005) Three general approaches to Stein’s method. In: A Program in Honour of Charles Stein: Tutorial Lecture Notes. A.D. Barbour, L.H.Y. Chen, eds. World Scientific, Singapore (2005), 183-221. [PDF version]
- G. Reinert, S. Schbath, and M.S. Waterman (2005) Probabilistic and Statistical Properties of Finite Words in Finite Sequences. In: Lothaire: Applied Combinatorics on Words, Cambridge University Press, J. Berstel, D. Perrin, eds., 268-352. [Postscript version]
- S. Holmes and G. Reinert (2004) Stein’s method for the bootstrap. In: Stein’s Method: Expository Lectures and Applications. IMS Lecture Notes 46, Hayward, P. Diaconis and S. Holmes, eds., 95-133. Pdf
- M. Huber and G. Reinert (2004) The stationary distribution in the antivoter model: Exact Sampling and Approximations. In: Stein’s Method: Expository Lectures and Applications. IMS Lecture Notes 46, Hayward, P. Diaconis and S. Holmes, eds. 79-93. Postscript
- A.D. Barbour and G. Reinert (2003) Small world networks. Extended abstract for MaPhySto and Dynstoch Workshop on Dynamical Stochastic Modelling in Biology, Copenhagen 2003. Pdf file.
- A.D. Barbour and G. Reinert. Small worlds. Random Structures and Algorithms 19, 54-74.(2001)
- G. Reinert (2001) Stein’s method for epidemic processes. In Complex Stochastic Systems. O.E. Barndorff-Nielsen, D.R. Cox and C. Klueppelberg, eds., Chapman and Hall, Boca Raton etc., 235-275. Postscript. Pdf file
- G. Reinert (2001) Assessing the distance to the Gaussian distribution for random measures via Stein’s method – Unpublished manuscript
- A.D. Barbour, R.M. Gerrard and G. Reinert. Iterates of expanding maps. Probab. Theory Rel. Fields116, 151-180. (2000)
- G. Reinert, S. Schbath and M.S. Waterman.Probabilistic and statistical properties of words.J. Comp. Biol. 7, 1-46 (2000)
- G. Reinert (1999) An introduction to Stein’s method and application to empirical measures.In Modelos Estocasticos. M. Gonzalez and L.G. Gorostiza, eds., Sociedad Matematica Mexicana, 65-120. (Proceedings of the Symposium of Probability and Stochastic Processes, Guanajuato, Mexico). Postscript. Pdf file
- G. Reinert and S. Schbath (1999) Compound Poisson approximations for occurences of multiple words. In Statistics in Molecular Biology and Genetics. F. Seiller-Moiseiwitsch, ed., IMS Lecture Notes, Providence, 257-275. Postscript.
- G. Reinert and S. Schbath (1998) Compound Poisson and Poisson process approximations for occurences of multiple words in Markov chains. J. Comp. Biol.5, 223-253
- G. Reinert (1998) Couplings for normal approximations with Stein’s method. In Microsurveys in Discrete Probability. D. Aldous, J. Propp eds., Dimacs series. AMS, 193-207. PostscriptPDF file L. Goldstein and G. Reinert (1997) Stein’s method and the zero bias transformation with application to simple random sampling. Ann. Appl. Probab.7, 935-952.
- L. Goldstein and G. Reinert (1997) Stein’s method and the zero bias transformation with application to simple random sampling. USC Technical report. Postscript.
- R. Arratia, D. Martin, G. Reinert and M.S. Waterman (1996) Poisson approximation for long repeats in a random sequence with application to sequencing by hybridization. J. Comp. Biol. 3, 425-463
- G. Reinert (1995) A weak law of large numbers for empirical measures via Stein’s method. Ann. Probab.5, 23, 334-354
- G. Reinert (1995) The asymptotic evolution of the General Stochastic Epidemic. Ann. Appl. Probab.5, 1061-1086.
- G. Reinert (1992) A threshold theorem for the general stochastic epidemic via a discrete approach. Statistics & Probability Letters 14, 85-90.