Professor of Statistics

Department of StatisticsUniversity of Oxford

24-29 St Giles’

Oxford OX1 3LB

UK

Tel. ++44 1865 281541

Fax ++44 1865 272595

email reinert@stats.ox.ac.uk

I am a University Professor in Statistics, and also a Fellow of Keble College. I am also a Fellow of the Alan Turing Institute.

On this web site you can find a list of papers, preprints, software.and talks.

Other professional activities include associate editor for the applied probability trust and for the Journal of Computational Biology.

Recently I have also become an EPSRC Advanced Fellow in connection with the CABDyN Research Cluster on complex agent-based dynamic networks.

For more recent information visit my departmental website .

Some general reference sites:

Statistics Glossary

UCLA Statistics home page; see in particular for statistical calculators and history of statistics

Virtual Laboratories in Probability and Statistics

Handout

Lecture notes - note that these cover a somewhat different syllabus:

Peter Clifford's lecture notes

Mary Lunn's lecture notes

For regression and ANOVA see also the sections on linear models in Dan Lunn's lecture notes

Proof of Wilks' Theorem

Exercises Sheet 1

Exercises Sheet 2

Exercises Sheet 3

Exercises Sheet 4

Neil Laws' b8 page

Dan Lunn's lecture notes

Problem Sheet 6 Pdf file Problem Sheet 6

Problem Sheet 7 Pdf file Problem Sheet 7

Problem Sheet 8 Pdf file Problem Sheet 8

Problem Sheet 9 Pdf file Problem Sheet 9

Problem Sheet 10 Pdf file Problem Sheet 10

Regression demos

Susan Holmes' Probability by Surprise page

Hilary Term 2002

Lecture notes Postscript Pdf file

Exercises and Problems 1 Postscript

Exercises and Problems 2 Postscript Pdf file

Exercises and Problems 3 Postscript Pdf file

Exercises and Problems 4 Postscript Pdf file

Practical Postscript Pdf file

Time Series. Hilary Term 2002. Postscript Pdf file

Simulation. Michaelmas Term 2002. Pdf file

Michaelmas Term 2002

Lecture 1 and 2 Pdf file

Lecture 3 and 4 Pdf file

Lecture 5 and 6 Pdf file

Lecture 7 and 8 Pdf file

Exercises and Problems 1 Pdf file

Exercises and Problems 2 Pdf file

Exercises and Problems 3 Pdf file

Exercises and Problems 4 Pdf file

S-PLUS Practical Word file

``Solution'' Word file

N.F. Johnson, M.
Spagat, S. Gourley, J.-P. Onnela, G. Reinert (2008). Bias in epidemiological
studies of conflict mortality. *Journal of Peace Research,* 45
(5), September 2008, pp.653-663.

P. Chen,
C. Deane, G. Reinert (2008).
Predicting and
validating protein interactions using network structure.
*PLoS
Computational Biology* 4 (7): e1000118.Pdf
file.

G. Reinert, M.S. Waterman (2008).
On the length of the longest exact position match in a
Markov sequence. *IWAP (International Workshop on Applied Probability) 2008
Conference Proceedings*, to appear.
Pdf file
. Extended
version.

P. Eichelsbacher and G. Reinert (2008). Stein's method for discrete
Gibbs measures.
*The Annals of
Applied Probability *2008, 18, No.
4, 1588--1618
Pdf file.

G. Reinert and M.S. Waterman (2007). On the length of the longest
exact position match in a random sequence. T*ransactions on
Computational Biology and Bioinformatics* 4, 153 - 156.
Pdf file.

P. Chen,
C. Deane, G. Reinert (2007).
A statistical
approach using network structure in the prediction of protein characteristics.
*Bioinformatics* 23, 2314-2321.Pdf
file.

L. Goldstein and G. Reinert (2006). Total Variation Distance for
Poisson Subset Numbers. Annals of
Combinatorics (2006), vol 10, 333--341.Pdf
file.

A.D. Barbour and G. Reinert (2006). Discrete small world networks.
*Electronic J. Probab.* 11, 1234--1283 (2006).
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. Last draft: Pdf file

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

L. Goldstein and G. Reinert (2005). Distributional transformations, orthogonal polynomials, and Stein characterizations. Jour. Theor. Probab. vol 18, pp185-208. Pdf file

In Russian: Obozr. Prikl. Prom. Mat., (OP&PM Surveys in Applied and Industrial Mathematics) 2006, v. 13, No. 1, pp. 28--50. Pdf file.

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. Postscript

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 (2001). Small Worlds. *Random
Structures and algorithms *19, 54 - 74. Postscript Pdf file

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

A.D. Barbour, R. Gerrard and G. Reinert (2000). Iterates of expanding
maps. *Probab. Theory Rel. Fields 116, 151 - 180.* Postscript Pdf file

G. Reinert, S. Schbath, and M.S. Waterman (2000). Probabilistic and
Statistical Properties of Words. *J. Comp. Bio. 7, 1 - 46. *Postscript Pdf file

G. Reinert (1999). An
introduction to Stein's method and application to empirical measures. In *
Modelos Estocasticos. *M.Gonzalez Barrios
and L.G.Gorostiza, eds., Sociedad Matematica Mexicana, 65 - 120. (Proceedings
of the Symposium on Probability and Stochastic Processes, Guanajuato, Mexico).
Postscript
Pdf file

G. Reinert and S. Schbath (1999). Compound Poisson approximations for
occurrences 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 occurrences of multiple words. *J. Comp. Bio. 5, 223 -
253. *Postscript

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. Postscript Pdf 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. *Postscript

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. *Postscript

G. Reinert (1995). A weak law of large numbers for empirical measures
via Stein's method. *Ann. Probab.* 23, 334 - 354.

G. Reinert (1995). The asymptotic evolution of the General Stochastic
Epidemic. *Ann. Appl. Probab.* 5, 1061 - 1086.

J.-P. Onnela, N. F. Johnson, S. Gourley, G. Reinert, M. Spagat (2008). Sampling bias due to structural heterogeneity and limited internal diffusion. Submitted; available at arXiv:0807.4420v1 [physics.soc-ph].Pdf file.

G. Reinert, A. Röllin (2008). Multivariate normal approximation with Stein's method of exchangeable pairs under a general linearity condition. Submitted.Pdf file.

G. Reinert (2001). Assessing the distance to the Gaussian distribution for random measures via Stein's method. In revision. Postscript

Software supporting the paper A two-component copula with links to insurance, by S. Ismail, G.Yu, G. Reinert and T. Maynard

Software supporting the paper Triad-based Comparison and Signatures of Directed Networks, by X. Xu and G. Reinert

An R package for alignment-free network comparison.

A short introduction to Stein's method.

Bootstrapping in regular graphs.

Statistics for Watts-Strogatz Small World networks.

Statistical Inference for Networks: graduate lecture

Some professional links

- Oxford University Computational Biology Group
- University of Zurich Mathematics
- USC Mathematics
- USC Center for Computational and Experimental Genomics
- UCLA Statistics
- Statslab Cambridge
- Women in Mathematics

Some not necessarily useful links