Professor of Statistics

Department of StatisticsUniversity of Oxford

1 South Parks Road

Oxford OX1 3TG

UK

Tel. ++44 1865 281541

Fax ++44 1865 272595

email reinert@stats.ox.ac.uk

I am a University Lecturer in Statistics, and also a Fellow of Keble College.

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

Other professional activities include member of the SemStat steering group, associate editor for Bernoulli, and acting as an associate editor 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.

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

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

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