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. This year I lecture on Statistical Theory and Time Series In the Doctoral
Training Centre for Systems Biology I also lecture on Statistical Inference for Networks. Previously
I also lectured on Markov Chain Monte
Carlo and Applied Bayesian Statistics. For course material from previous
years see also a5
Statistics, Part A Statistics
HT2004, b8
Statistics, and Stochastic
Simulation.

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

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

__A short introduction to Stein's method. __

__Bootstrapping in regular graphs. __

__Statistics for Watts-Strogatz Small World networks. __

__Statistical Inference for Networks: graduate lecture __

__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 __