Research Interests
Directional statistics
The topic of directional statistics is concerned typically with
observations which are directions
(unit vectors in Rp),
axes (lines through the origin of Rp),
or rotations of Rp.
More generally, observations can be points in a compact Riemannian manifold.
A famous data set on the rotation group SO(3) is the set of
vectorcardiogram data of
Downs, Liebman and Mackay (1971).
One of the main techniques in directional statistics is that of embedding
the sample space in a suitable Hilbert space.
Differential geometry of parametric inference
Asymptotic expansions can be expressed efficiently in the language of
differential geometry.
The invariant quantities which arise have geometric interpretations and provide a way of taming complicated expansions.
Quantum stochastics
Every measurement on a quantum system gives rise to a probability distribution
on the outcome space. Thus measurements transform families of quantum states
into families of probability distributions.
Some recent publications
Mardia, K.V. and Jupp, P.E. (2000)
Directional Statistics, Wiley, Chichester.
Errata.
Parnell, C.E. and Jupp, P.E. (2000)
Statistical analysis of the energy distribution of sub-microflares in the quiet sun. Astrophysical Journal 529, 554-569.
Barndorff-Nielsen, O.E., Gill, R.D. and Jupp, P.E. (2001)
Quantum information.
In Mathematics Unlimited - 2001 and Beyond,
(B. Engquist & W. Schmid, eds.), 83-107.
Springer-Verlag, Heidelberg.
Jupp, P.E. (2001)
Modifications of the Rayleigh and Bingham tests for uniformity of directions.
J. Mult. Anal. 77, 1-20.
Jupp, P.E. (2002) Spherical Statistics.
In Encyclopedia of Environmetrics.
(A. H. El-Shaarawi and W. W. Piegorsch, eds.),
Wiley, Chichester, Volume 4, 2097-2099.
Larsen, P.V. and Jupp, P.E. (2003) Parametrization-invariant Wald tests.
Bernoulli 9, 167-182.
Jupp, P.E., Kim, P.T., Koo, J.-Y. and Wiegert, P. (2003)
The intrinsic distribution and selection bias of long-period cometary orbits.
J. Amer. Statist. Assoc. 99, 515-521.
Barndorff-Nielsen, O.E., Gill, R.D. and Jupp, P.E. (2003)
On
quantum statistical inference.
J. Roy. Statist. Soc. B 65, 775-816. quant-ph/0307191.
The original long version of this survey paper is available
here.
Chikuse, Y. and Jupp, P.E. (2004)
A test of uniformity on shape spaces. J. Mult. Anal. 88, 163-176.
Watamori, Y. and Jupp, P.E. (2005)
Improved likelihood ratio and score tests on concentration parameters of
von Mises-Fisher distributions.
Statistics & Probability Letters
72, 93-102.
Jupp, P.E. (2005)
Sobolev tests of goodness of fit
of distributions on compact Riemannian manifolds.
Ann. Statist. 33, 2957-2966. math.ST/0603135.
Stone, J.V. and Jupp, P.E. (2007)
Free-Lunch Learning: Modeling spontaneous recovery of memory.
Neural Computation 19, 194-217.
Goudie, I.B.J., Jupp, P.E. & Ashbridge, J. (2007)
Plant-capture estimation of the size of a homogeneous population.
Biometrika 94, 243-248.
Erratum.
Jupp, P.E. (2008)
Data-driven Sobolev tests of uniformity on compact Riemannian manifolds.
Ann. Statist. 36, 1246-1260.
Erratum.
Stone, J.V. and Jupp, P.E. (2008)
Falling towards forgetfulness: synaptic decay prevents spontaneous recovery of
memory.
PLoS Computational Biology 4: e1000143.
Jupp, P.E. and Stone, J.V. (2008)
Free-lunch learning and directional distributions in artificial neural networks.
Acta et Commentationes Universitatis Tartuensis de Mathematica 12, 101-108.
Fewster, R.M., Buckland, S.T., Burnham, K.P., Borchers, D.L., Jupp, P.E.,
Laake, J.L., and Thomas, L. (2009)
Estimating the encounter rate variance in distance sampling.
Biometrics 65, 225-236.
Online from Blackwell-Synergy.
Byrne, R.W., Noser, R.N., Bates, L.A. and Jupp, P.E. (2009)
How did they get here from there?
Detecting changes of direction in terrestrial ranging.
Animal Behaviour 77, 619-631.
A brief description of the test introduced in this paper and a link to
appropriate R code are available
here.
Jupp, P.E. (2009)
Data-driven tests of uniformity on product manifolds.
J. Statist. Planning & Infce. 139, 3820-3829.
Erratum.
Fewster, R.M. and Jupp, P.E. (2009)
Inference on population size in binomial detectability models.
Biometrika 96, 805-820.
A complete list of publications may be found
here
Last updated: 25 January 2010
