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Anthony Christopher Davison

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Related publications (93)

Statistical modelling of ground temperature in mountain permafrost

Anthony Christopher Davison, Juliette Ferial Blanchet

Permafrost consists of soil and rocks that remain at 0 degrees C or below for at least two consecutive years. In mountains, permafrost ground ice acts like cement, stabilizing rock walls. Its degradation, following climate warming, may lead to slope instab ...

2012

Extreme events in total ozone over the Northern mid-latitudes: an analysis based on long-term data sets from five European ground-based stations

Anthony Christopher Davison

We apply methods from extreme value theory to identify extreme events in high (termed EHOs) and low (termed ELOs) total ozone and to describe the distribution tails (i.e. very high and very low values) of five long-term European ground-based total ozone ti ...

2011

Comparison of Models for Olfactometer Data

Anthony Christopher Davison, Ingrid Ricard

Olfactometer experiments are used to study the responses of arthropods to potential attractants, for purposes such as understanding natural defenses of plants against their herbivores. Such experiments typically lead to multivariate data consisting of smal ...

Springer-Verlag2011

Spatial modelling of extreme snow depth

Anthony Christopher Davison, Juliette Ferial Blanchet

The spatial modelling of extreme snow is important for adequate risk management in Alpine and high altitude countries. A natural approach to such modelling is through the theory of max-stable processes, an infinite-dimensional extension of multivariate ext ...

2011

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

Valérie Chavez, Anthony Christopher Davison, Linda Frossard

2011

Hierarchical wavelet modelling of environmental sensor data

Anthony Christopher Davison, Yann Ruffieux

Motivated by the need to smooth and to summarize multiple simultaneous time series arising from networks of environmental monitors, we propose a hierarchical wavelet model for which estimation of hyperparameters can be performed by marginal maximum likelih ...

2011

Extreme temperature analysis under forest cover compared to an open field

Martine Rebetez, Anthony Christopher Davison, Jacques Ferrez

We analyse air temperature data from 14 sites in Switzerland, each with two weather stations in close proximity, one under a forest canopy and the other in the open. We use the statistics of extremes to investigate how extremely high maximum and extremely ...

2011

Dynamic fragmentation of a ring: Predictable fragment mass distributions

Anthony Christopher Davison, Irene Vicari, Jean-François Molinari, Sarah Levy

We employ a finite element framework, coupled to cohesive elements, to model material decohesion of a uniformly expanding ring. Our study focuses on the average fragment mass, the distribution of fragment masses, and the heaviest fragments. The computed fr ...

American Physical Society2010

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

Anthony Christopher Davison

In this study the frequency of days with extreme low (termed ELOs) and extreme high (termed EHOs) total ozone values and their influence on mean values and trends are analyzed for the world's longest total ozone record (Arosa, Switzerland). The results sho ...

Copernicus Publications2010

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

Anthony Christopher Davison

In this study ideas from extreme value theory are for the first time applied in the field of stratospheric ozone research, because statistical analysis showed that previously used concepts assuming a Gaussian distribution (e.g. fixed deviations from mean v ...

Copernicus Publications2010

Three Examples of Accurate Likelihood Inference

Anthony Christopher Davison

The modern theory of likelihood inference provides improved inferences in many parametric models, with little more effort than is required for application of standard first-order theory. We outline the relevant computations, and illustrate the calculations ...

American Statistical Association2010

Model misspecification in peaks over threshold analysis

Anthony Christopher Davison, Mária Süveges

Classical peaks over threshold analysis is widely used for statistical modeling of sample extremes, and can be supplemented by a model for the sizes of clusters of exceedances. Under mild conditions a compound Poisson process model allows the estimation of ...

2010

Saddlepoint approximation for mixture models

Anthony Christopher Davison

Two-component mixture distributions with one component a point mass and the other a continuous density may be used as priors for Bayesian inference when sparse representation of an underlying signal is required. We show how saddlepoint approximation in suc ...

2009

Stochastic modelling of prey depletion processes

Anthony Christopher Davison

The modelling of prey-predator interactions is of major importance for the understanding of population dynamics. Classically, these interactions are modelled using ordinary differential equations, but this has the drawbacks of assuming continuous populatio ...

2009

The Banff challenge: Statistical detection of a noisy signal

Anthony Christopher Davison

Particle physics experiments such as those run in the Large Hadron Collider result in huge quantities of data, which are boiled down to a few numbers from which it is hoped that a signal will be detected. We discuss a simple probability model for this and ...

2008

Some challenges for statistics

Anthony Christopher Davison

Springer-Verlag2008

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

Anthony Christopher Davison, Christophe Ancey, Peter Frey

We investigate the entrainment, deposition and motion of coarse spherical particles within a turbulent shallow water stream down a steep slope. This is an idealization of bed-load transport in mountain streams. Earlier investigations have described this ki ...

Cambridge University Press2008

Accurate parametric inference for small samples

Anthony Christopher Davison

We outline how modern likelihood theory, which provides essentially exact inferences in a variety of parametric statistical problems, may routinely be applied in practice. Although the likelihood procedures are based on analytical asymptotic approximations ...

2008

A mixture model for multivariate extremes

Marc-Olivier Boldi, Anthony Christopher Davison

The spectral density function plays a key role in ﬁtting the tail of multivariate extremal data and so in estimating probabilities of rare events. This function satisﬁes moment constraints but unlike the univariate extreme value distributions has no simple ...

2007

Resamping variance estimation in surveys with missing data

Anthony Christopher Davison, Sylvain Sardy

We discuss variance estimation by resampling in surveys in which data are missing. We derive a formula for jackknife linearization in the case of calibrated estimation with deterministic regression imputation, and compare the resulting variance estimates w ...

2007

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