# Anthony C. Davison

**EPFL SB MATH STAT **

MA B1 423 (Bâtiment MA)

Station 8

CH-1015 Lausanne

## Biography

Anthony Davison has published on a wide range of topics in statistical theory and methods, and on environmental, biological and financial applications. His current main research interests are statistics of extremes, likelihood asymptotics, bootstrap and other resampling methods, and statistical modelling.

Statistics of extremes concerns rare events such as storms, high winds and tides, extreme pollution episodes, sporting records, and the like. The subject has a long history, but under the impact of engineering and environmental problems has been an area of intense development in the past 15 years. Davison''s PhD work was in this area, in a project joint between the Departments of Mathematics and Mechanical Engineering at Imperial College, with the aim of modelling potential high exposures to radioactivity due to releases from nuclear installations. The key tools developed, joint with Richard Smith, were regression models for exceedances over high thresholds, which generalized earlier work by hydrologists, and formed the basis of some important later developments. This has led to an ongoing interest in extremes, and in particular their application to environmental and financial data. A major current interest is the development of suitable methods for modelling rare spatio-temporal events, particularly but not only in the context of climate change. Davison was principal investigator for a major project on this topic funded by the the CEPF and involving researchers from EPFL, ETHZ, WSL, SSS, and other institutions.

Likelihood asymptotics too have undergone very substantial development since 1980. Key tools here have been saddlepoint and related approximations, which can give remarkably accurate approximate distribution and density functions even for very small sample sizes. These approximations can be used for wide classes of parametric models, but also for certain bootstrap and resampling problems. The literature on these methods can seem arcane, but they are potentially widely applicable, and Davison wrote a book joint with Nancy Reid and Alessandra Brazzale intended to promote their use in applications.

Bootstrap methods are now used in many areas of application, where they can provide a researcher with accurate inferences tailor-made to the data available, rather than relying on large-sample or other approximations of doubtful validity. The key idea is to replace analytical calculations of biases, variances, confidence and prediction intervals, and other measures of uncertainty with computer simulation from a suitable statistical model. In a nonparametric situation this model consists of the data themselves, and the simulation simply involves resampling from the existing data, while in a parametric case it involves simulation from a suitable parametric model. There is a wide range of possibilities between these extremes, and the book by Davison and Hinkley explores these for many data examples, with the aim of showing how and when resampling methods succeed and why they can fail.

Davison also has research links with the NCCR Plant Survival at the University of Neuchâtel, for which he leads a group of researchers undertaking statistical and dynamical modelling. The problems studied here are very varied, ranging from methods for the analysis of microarray data, through modelling the behaviour of wasps and moths, to assessment of the effects of grazing by cows in their pastures.

He is Editor of Biometrika (2008-). Other editorial roles have been as Joint Editor of Journal of the Royal Statistical Society, series B (2000-2003), editor of the IMS Lecture Notes Monograph Series (2007), Associate Editor of Biometrika (1987-1999), and Associate Editor of the Brazilian Journal of Probability and Statistics (1987 2006). He has served on several committees of Royal Statistical Society, including its Research Section Committee. He is an elected Fellow of the American Statistical Assocation and of the Institute of Mathematical Statistics, an elected member of the International Statistical Institute, and a Chartered Statistician.

In 2009 he was awarded a laurea honoris causa in Statistical Science by the University of Padova, in 2011 he held a Francqui Chair at Hasselt University, and in 2012 he was Mitchell Lecturer at the University of Glasgow. In 2015 he received the Guy Medal in Silver of the Royal Statistical Society.

## Books

## Education

BA | Mathematics | Oxford | 1980 |

MSc | Statistics | Imperial College London | 1981 |

PhD | Statistics | Imperial College London | 1984 |

## Fields of expertise

Statistical theory and methods.

Applications, particularly to environmental and biological data.

## Publications

#### all

**Dependence properties of spatial rainfall extremes and areal reduction factors**;

*Journal Of Hydrology*. 2018-10-01. DOI : 10.1016/j.jhydrol.2018.08.061.

**'The life of man, solitary, poore, nasty, brutish, and short': Discussion of the paper by Rootzen and Zholud**;

*Extremes*. 2018-09-01. DOI : 10.1007/s10687-018-0329-5.

**High-dimensional peaks-over-threshold inference**;

*Biometrika*. 2018-09-01. DOI : 10.1093/biomet/asy026.

**Optimal regionalization of extreme value distributions for flood estimation**;

*JOURNAL OF HYDROLOGY*. 2018. DOI : 10.1016/j.jhydrol.2017.10.051.

**Automatic module selection from several microarray gene expression studies**;

*BIOSTATISTICS*. 2018. DOI : 10.1093/biostatistics/kxx032.

**Efficient inference for genetic association studies with multiple outcomes**;

*Biostatistics*. 2017. DOI : 10.1093/biostatistics/kxx007.

**Modelling across extremal dependence classes**;

*Journal Of The Royal Statistical Society Series B-Statistical Methodology*. 2017. DOI : 10.1111/rssb.12157.

**Bayesian Inference For The Brown-Resnick Process, With An Application To Extreme Low Temperatures**;

*Annals of Applied Statistics*. 2016. DOI : 10.1214/16-Aoas980.

**Bayesian uncertainty management in temporal dependence of extremes**;

*Extremes*. 2016. DOI : 10.1007/s10687-016-0258-0.

**Likelihood estimators for multivariate extremes**;

*Extremes*. 2016. DOI : 10.1007/s10687-015-0230-4.

**Bayesian Uncertainty Management in Temporal Dependence of Extremes**;

*Extremes -Dordrecht-*. 2016.

**Likelihood Estimation for the INAR(p) Model by Saddlepoint Approximation**;

*Journal Of The American Statistical Association*. 2015. DOI : 10.1080/01621459.2014.983230.

**A simple model-based approach to variable selection in classification and clustering**;

*Canadian Journal Of Statistics-Revue Canadienne De Statistique*. 2015. DOI : 10.1002/cjs.11241.

**Statistics of Extremes**;

*Annual Review Of Statistics And Its Application, Vol. 2*; Palo Alto: Annual Reviews, 2015. p. 203-235.

**Meta-analysis of incomplete microarray studies**;

*Biostatistics*. 2015. DOI : 10.1093/biostatistics/kxv014.

**Measuring the relative effect of factors affecting species distribution model predictions**;

*Methods In Ecology And Evolution*. 2014. DOI : 10.1111/2041-210X.12203.

**Spectral Density Ratio Models for Multivariate Extremes**;

*Journal Of The American Statistical Association*. 2014. DOI : 10.1080/01621459.2013.872651.

**Accurate Directional Inference for Vector Parameters in Linear Exponential Families**;

*Journal Of The American Statistical Association*. 2014. DOI : 10.1080/01621459.2013.839451.

**Space-time modelling of extreme events**;

*Journal Of The Royal Statistical Society Series B-Statistical Methodology*. 2014. DOI : 10.1111/rssb.12035.

**Threshold modeling of extreme spatial rainfall**;

*Water Resources Research*. 2013. DOI : 10.1002/wrcr.20329.

**Geostatistics of Dependent and Asymptotically Independent Extremes**;

*Mathematical Geosciences*. 2013. DOI : 10.1007/s11004-013-9469-y.

**Composite likelihood estimation for the Brown--Resnick process**;

*Biometrika*. 2013. DOI : 10.1093/biomet/ass089.

**On the relationship between total ozone and atmospheric dynamics and chemistry at mid-latitudes - Part 2: The effects of the El Nino/Southern Oscillation, volcanic eruptions and contributions of atmospheric dynamics and chemistry to long-term total ozone changes**;

*Atmospheric Chemistry And Physics*. 2013. DOI : 10.5194/acp-13-165-2013.

**On the relationship between total ozone and atmospheric dynamics and chemistry at mid-latitudes - Part 1: Statistical models and spatial fingerprints of atmospheric dynamics and chemistry**;

*Atmospheric Chemistry And Physics*. 2013. DOI : 10.5194/acp-13-147-2013.

**Open Support Platform for Environmental Research (OSPER)-tools for the discovery and exploitation of environmental data**. 2012. AGU Fall Meeting.

**Extremes: spatial parametric modeling**;

*Encyclopedia of Environmetrics Second Edition*; Chichester, UK: John Wiley, 2012. p. 984-990.

**Modelling Time Series Extremes**;

*Revstat-Statistical Journal*. 2012.

**Statistical Modeling of Spatial Extremes**;

*Statistical Science*. 2012. DOI : 10.1214/11-STS376.

**High-Dimensional Bayesian Clustering with Variable Selection: The R Package bclus**;

*Journal Of Statistical Software*. 2012.

**A case study of a "Dragon-King": The 1999 Venezuelan catastrophe**;

*European Physical Journal-Special Topics*. 2012. DOI : 10.1140/epjst/e2012-01566-6.

**Diabetes imaging — quantitative assessment of islets of Langerhans distribution in murine pancreas using extended-focus optical coherence microscopy**;

*Biomedical Optics Express*. 2012. DOI : 10.1364/BOE.3.001365.

**Statistical modelling of ground temperature in mountain permafrost**;

*Proceedings Of The Royal Society A-Mathematical Physical And Engineering Sciences*. 2012. DOI : 10.1098/rspa.2011.0615.

**From sensor networks to connected analysis tools**. 2012. European Geosciences Union General Assembly 2012, Vienna, Austria, April 22-27, 2012.

**Bayesian inference from composite likelihoods, with an application to spatial extremes**;

*Statistica Sinica*. 2012. DOI : 10.5705/ss.2009.248.

**Geostatistics of extremes**;

*Proceedings of the Royal Society of London Series A: Mathematical and Physical Sciences*. 2012. DOI : 10.1098/rspa.2011.0412.

**Discussion of the papers by Dankers and Feyen, Cooley, and Keef**. 2011. International Statistical Institute, Dublin, Ireland, August 21-26, 2011.

**Extreme temperature analysis under forest cover compared to an open field**;

*Agricultural And Forest Meteorology*. 2011. DOI : 10.1016/j.agrformet.2011.03.005.

**Discussion of `Threshold modelling of spatially dependent non-stationary extremes with application to hurricane-induced wave heights' by P. J. Northrop and P. Jonathan**;

*Environmetrics*. 2011. DOI : 10.1002/env.1125.

**Spatial modelling of extreme snow depth**;

*Annals of Applied Statistics*. 2011. DOI : 10.1214/11-AOAS464.

**Hierarchical wavelet modelling of environmental sensor data**;

*Brazilian Journal of Probability and Statistics*. 2011. DOI : 10.1214/11-BJPS154.

**Comparison of Models for Olfactometer Data**;

*Journal of Agricultural, Biological, and Environmental Statistics*. 2011. DOI : 10.1007/s13253-010-0042-6.

**Statistics of extremes**;

*International Encyclopedia of Statistical Science*; new York: Springer, 2011. p. 1484--1487.

**The MicroArray Quality Control (MAQC)-II study of common practices for the development and validation of microarray-based predictive models**;

*Nature Biotechnology*. 2010. DOI : 10.1038/nbt.1665.

**The MicroArray Quality Control (MAQC)-II study of common practices for the development and validation of microarray-based predictive models**;

*Pharmacogenomics Journal*. 2010. DOI : 10.1038/nbt.1665.

**Extreme events in total ozone over Arosa---Part 2: Fingerprints of atmospheric dynamics and chemistry and effects on mean values and long-term changes**;

*Atmospheric Chemistry and Physics*. 2010. DOI : 10.5194/acp-10-10033-2010.

**Extreme events in total ozone over Arosa---Part 1: Application of extreme value theory**;

*Atmospheric Chemistry and Physics*. 2010. DOI : 10.5194/acp-10-10021-2010.

**Effects of Rewarding and Unrewarding Experiences on the Response to Host-induced Plant Odors of the Generalist Parasitoid Cotesia marginiventris (Hymenoptera: Braconidae)**;

*Journal of Insect Behavior*. 2010. DOI : 10.1007/s10905-010-9215-y.

**Three Examples of Accurate Likelihood Inference**;

*American Statistician*. 2010. DOI : 10.1198/tast.2010.09004.

**Model misspecification in peaks over threshold analysis**;

*The Annals of Applied Statistics*. 2010. DOI : 10.1214/09-AOAS292.

**Stochastic modelling of prey depletion processes**;

*Journal of Theoretical Biology*. 2009. DOI : 10.1016/j.jtbi.2009.04.017.

**Saddlepoint approximation for mixture models**;

*Biometrika*. 2009. DOI : 10.1093/biomet/asp022.

**Entrainment and motion of coarse particles in a shallow water stream down a steep slope**;

*Journal of Fluid Mechanics*. 2008. DOI : 10.1017/S0022112007008774.

**Accurate parametric inference for small samples**;

*Statistical Science*. 2008. DOI : 10.1214/08-STS273.

**The Banff challenge: Statistical detection of a noisy signal**;

*Statistical Science*. 2008. DOI : 10.1214/08-STS260.

**Some challenges for statistics**;

*Statistical Methods and Applications*. 2007. DOI : 10.1007/s10260-007-0079-z.

**Conserved oviposition preferences in alpine leaf beetle populations despite host shifts and isolation**;

*Ecological Entomology*. 2007. DOI : 10.1111/j.1365-2311.2006.00842.x.

**A mixture model for multivariate extremes**;

*Journal of the Royal Statistical Society, series B*. 2007. DOI : 10.1111/j.1467-9868.2007.00585.x.

**Reliable confidence intervals in quantitative genetics: Narrow-sense heritability**;

*Theoretical and Applied Genetics*. 2007. DOI : 10.1007/s00122-007-0619-9.

**Some Basic Functions for Tree Representations of Bayesian Markov Chain Monte Carlo Clustering**. 2007.

**Hierarchical wavelet modelling of environmental sensor data**. 2007.

**Rapid Classification of Phenotypic Mutants of Arabidopsis via Metabolite Fingerprinting**;

*Plant Physiology*. 2007. DOI : 10.1104/pp.106.090795.

**Applied Asymptotics: Case Studies in Small-Sample Statistics**; Cambridge: Cambridge University Press.

**Resamping variance estimation in surveys with missing data**;

*Journal of Offical Statistics*. 2007.

**Statistical inference for olfactometer data**;

*Applied Statistics*. 2007. DOI : 10.1111/j.1467-9876.2007.00588.x.

**Clustering of extreme temperatures from 1772 to 2004**; Global Change Day 2006, Bern, Switzerland, 20 April 2006.

**Méthodes de rééchantillonnage pour l'estimation de variance**;

*Journal de la Société Française de Statistique*. 2006.

**Bootstrap diagnostics and remedies**;

*Canadian Journal of Statistics*. 2006.

**Assessment and analysis of mechanical allodynia-like behaviour induced by spared nerve injury (SNI) in the mouse**;

*Pain*. 2006. DOI : 10.1016/j.pain.2005.10.036.

**A comparison of naive and conditioned responses of three generalist endoparasitoids of lepidopteran larvae to host-induced plant odours**;

*Animal Biology*. 2006.

**Bayesian forecasting of grape moth emergence**;

*Ecological Modelling*. 2006.

**A Laplace mixture model for the identification of differential expression in microarrays**;

*Biostatistics*. 2006. DOI : 10.1093/biostatistics/kxj032.

**Improved likelihood inference for discrete data**;

*Journal of the Royal Statistical Society series B*. 2006. DOI : 10.1111/j.1467-9868.2006.00548.x.

**The evaluation of evidence in the forensic investigation of fire incidents (Part II): Practical examples of the use of Bayesian networks**;

*Forensic Science International*. 2005.

**The evaluation of evidence in the forensic investigation of fire incidents (Part I): An approach using Bayesian networks**;

*Forensic Science International*. 2005.

**Celebrating Statistics: Papers in Honour of Sir David Cox on the Occasion of his 80th Birthday**; Oxford, UK: Oxford University Press.

**Bootstrap methods**;

*Encyclopedia of Statistics in the Behavioural Sciences*; Wiley, 2005. p. 169-176.

**A point process approach to value-at-risk estimation**;

*Quantitative Finance*. 2005. DOI : 10.1080/14697680500039613.

**Generalized additive models for sample extremes**;

*Applied Statistics*. 2005.

**Resampling-based variance estimation in DACSEIS with application to the Swiss Household Budget Survey**. 2004.

**A six-arm olfactometer permitting simultaneous observation of insect attraction and odour trapping**;

*Physiological Entomology*. 2004. DOI : 10.1111/j.1365-3032.2004.0362.x.

**Posterior probability intervals in Bayesian wavelet estimation**;

*Biometrika*. 2004. DOI : 10.1093/biomet/91.2.497.

**Order statistics**;

*Encyclopedia of Biostatistics*; Wiley, 2004. p. online edition.

**Normal Scores**;

*Encyclopedia of Biostatistics*; Wiley, 2004. p. online edition.

**Extreme values**;

*Encyclopedia of Biostatistics*; Wiley, 2004. p. online edition.

**Resampling-based variance estimation in DACSEIS**;

*Bulletin of the International Statistical Institute: Data quality in complex surveys, Berlin*. 2003.

**Discussion of Wakefield, J. (2004) Ecological inference for 2x2 tables**;

*Journal of the Royal Statistical Society series A*. 2003.

**Discussion of Kong, A., McCullagh, P., Nicolae, D., Tan, Z., and Meng, X.-L. (2003) A theory of statistical models for Monte Carlo integration**;

*Journal of the Royal Statistical Society series B*. 2003.

**Discussion of Heffernan, J. and Tawn, J. A. (2004) A conditional approach for multivariate extreme values**;

*Journal of the Royal Statistical Society series B*. 2003.

**Non-parametric bootstrap confidence intervals for the intraclass correlation coefficient**;

*Statistics in Medicine*. 2003. DOI : 10.1002/sim.1643.

**The Oxford Dictionary of Statistical Terms**;

*The Oxford Dictionary of Statistical Terms*; Oxford University Press, 2003.

**Recent developments in bootstrap methodology**;

*Statistical Science*. 2003.

**Statistical Models**; Cambridge: Cambridge University Press.

**A note on model uncertainty in linear regression**;

*The Statistician*. 2003.

**An introduction to the bootstrap with applications in R**;

*Statistical Computing and Graphics Newsletter*. 2002.

**Empirical supremum rejection sampling**;

*Biometrika*. 2002. DOI : 10.1093/biomet/89.4.745.

**Local models for exploratory analysis of hydrological extremes**;

*Journal of Hydrology*. 2002.

**Saddlepoint approximations as smoothers**;

*Biometrika*. 2002. DOI : 10.1093/biomet/89.4.933.

**Biometrika centenary: Theory and general methodology**;

*Biometrika*. 2001. DOI : 10.1093/biomet/88.1.13.

**Regression diagnostics**;

*Encyclopedia of Environmetrics*; Wiley, 2001. p. 1728-1733.

**A Robust Rainfall-Runoff Transfer Model**;

*Water Resources Research*. 2001. DOI : 10.1029/2001WR000295.

**Contribution to the discussion of `The estimating function bootstrap' by F. Hu and J. D. Kalbfleisch**;

*Canadian Journal of Statistics*. 2000.

**Inference for the poly-Weibull model**;

*The Statistician*. 2000.

**Local likelihood smoothing of sample extremes**;

*Journal of the Royal Statistical Society series B*. 2000.

**Wavestrapping time series: Adaptive wavelet-based bootstrapping**;

*Nonlinear and Nonstationary Signal Processing*; Cambridge University Press, 2000. p. 442-471.

**Resampling-based variance estimation for labour force surveys**;

*The Statistician*. 1999.

**The bootstrap: A tutorial**. 1999. p. 10-18.

**Implementation of saddlepoint approximations in resampling problems**;

*Statistics and Computing*. 1998.

**Extreme values**;

*Encyclopedia of Biostatistics*; Wiley, 1998. p. 1463-1467.

**Bootstrap Methods and Their Application**; Cambridge: Cambridge University Press.

**Some models for discretized series of events**;

*Journal of the American Statistical Association*. 1996.

**Reliable confidence intervals. Discussion of ``Bootstrap confidence intervals'', by T. J. DiCiccio and B. Efron**;

*Statistical Science*. 1996.

**Implementation of saddlepoint approximations to bootstrap distributions**. 1996. p. 248-253.

#### Infoscience

**Model misspecification in peaks over threshold analysis**;

*The Annals of Applied Statistics*. 2010. DOI : 10.1214/09-AOAS292.

**Stochastic modelling of prey depletion processes**;

*Journal of Theoretical Biology*. 2009. DOI : 10.1016/j.jtbi.2009.04.017.

**Accurate parametric inference for small samples**;

*Statistical Science*. 2008. DOI : 10.1214/08-STS273.

**Statistical inference for olfactometer data**;

*Applied Statistics*. 2007. DOI : 10.1111/j.1467-9876.2007.00588.x.

**Applied Asymptotics: Case Studies in Small-Sample Statistics**; Cambridge: Cambridge University Press.

**Bootstrap diagnostics and remedies**;

*Canadian Journal of Statistics*. 2006.

**Improved likelihood inference for discrete data**;

*Journal of the Royal Statistical Society series B*. 2006. DOI : 10.1111/j.1467-9868.2006.00548.x.

**A Laplace mixture model for the identification of differential expression in microarrays**;

*Biostatistics*. 2006. DOI : 10.1093/biostatistics/kxj032.

**A point process approach to value-at-risk estimation**;

*Quantitative Finance*. 2005. DOI : 10.1080/14697680500039613.

**Generalized additive models for sample extremes**;

*Applied Statistics*. 2005.

**Celebrating Statistics: Papers in Honour of Sir David Cox on the Occasion of his 80th Birthday**; Oxford, UK: Oxford University Press.

**Statistical Models**; Cambridge: Cambridge University Press.

**Biometrika centenary: Theory and general methodology**;

*Biometrika*. 2001. DOI : 10.1093/biomet/88.1.13.

**Local likelihood smoothing of sample extremes**;

*Journal of the Royal Statistical Society series B*. 2000.

**Bootstrap Methods and Their Application**; Cambridge: Cambridge University Press.

**Entrainment and motion of coarse particles in a shallow water stream down a steep slope**.

## Teaching & PhD

#### Teaching

- Mathematics,

#### PhD Programs

- Doctoral Program in Mathematics

#### PhD Students

Koh Boon Han Jonathan

Raymond-Belzile Léo

Semadeni Claudio Andri

#### Past PhD Students

Boldi Marc-Olivier ...Brazzale Alessandra ...

Cambou Mathieu Jacques David ...

Capkun Niggli Gorana ...

Chavez Valérie ...

El Bachir Yousra ...

Frossard Linda ...

Gholam Rezaee Mohammad Mehdi ...

Huser Raphaël ...

Kuonen Diego ...

Lugrin Thomas ...

Osinski Christophe ...

Partovi Nia Vahid ...

Ricard Ingrid ...

Ruffieux Hélène ...

Röhrl Armin ...

Süveges Mária ...

Thibaud Emeric Rolland Georges ...

Zenklusen Mutter Evelyn ...

Zollinger Alix Corinne Josiane Colette ...

de Deloÿe et Fourcade de Fondeville Raphaël Gérard Théodore Michel Marie ...

## Courses

#### Probabilities and statistics

The course gives an introduction to the theory of probability and statistical methods for physicists

#### Time series

A first course in statistical time series analysis and applications, including practical work.

#### Modern regression methods

A second course on regression modelling, dealing with nonlinear effects of explanatory variables, and non-normal and dependent response variables.

#### Risk, rare events and extremes

Modelling of rare events, such as stock market crashes, storms and catastrophic structural failures, is important. This course will describe the special models and methods that are relevant to such modelling, including the mathematical bases, statistical ...

#### Data Analysis for Science and Engineering

An overview course intended for scientists and engineers who need to use statistical methods as part of their research, who have already attended a course at the second-year EPFL undergraduate level, and need revision and deepening of their knowledge at a...