# School of Mathematics

## Prof John T Kent

Professor of Statistics

Head of Statistics

### Contact details

Room: 9.09

Tel: +44 (0)113 3435103

Email: J.T.Kent @ leeds.ac.uk

### Keywords

Directional data analysis

Multivariate analysis

Statistical inference

Robustness and regularization

Spatial and spatial-temporal processes

Shape and image analysis

## Research interests

Modern technology has led to a vast increase in data with a geometric component. My own research focuses on the interplay between geometry and statistics. Spatial and spatial-temporal models deal with dependence through space and time. Directional data analysis is concerned with random directions on circles and spheres and in more complicated settings. Shape analysis is concerned with the information in an object in two or three dimensions, ignoring effects due to location, orientation and sometimes size. There is a wide range of applications including geology (orientation of rocks), morphometrics (shapes of living organisms), image analysis (identifying objects in images), climate modelling (stochastic models), and molecular biology (e.g. protein structure).

### Useful links

Personal home page

Department of Statistics research page

## Current postgraduate students

Mai Alfahad (2014)

Hassan Aljohani (2011)

Shambo Bhattacharjee (2016)

Ignatius Boateng (2014)

Thomas Higgins (2015)

Emeka Uzochukwu (2017)

## Publications

**Alashwali F, Kent JT** The use of a common location measure in the invariant coordinate selection and projection pursuit *Journal of Multivariate Analysis*, **152**, 145-161, 2016

DOI:10.1016/j.jmva.2016.08.007

View abstract

**Kent JT; Hussein I; Jah MK ** *Directional distributions in tracking of space debris*FUSION 2016 - 19th International Conference on Information Fusion, Proceedings, 2081-2086 2016

View abstract

**Mosammam AM, Kent JT** Estimation and testing for covariance-spectral spatial-temporal models *Environmental and Ecological Statistics*, **23**, 43-64, 2016

DOI:10.1007/s10651-015-0322-y

View abstract

**Dryden IL; Kent JT ** *Geometry Driven Statistics*. 2015

DOI:10.1002/9781118866641

View abstract

**Dryden IL; Kent JT ** *Preface*. 2015

DOI:10.1002/9781118866641

**Dryden IL, Kent JT** Geometry Driven Statistics Preface *GEOMETRY DRIVEN STATISTICS*, XIII-XIV, 2015

**Kent JT ** *An Investigation of Projective Shape Space*ADVANCES IN COMPLEX DATA MODELING AND COMPUTATIONAL METHODS IN STATISTICS, 119-131 2015

DOI:10.1007/978-3-319-11149-0_8

**Kent JT** Algorithms for the spatial median In *Modern Nonparametric, Robust and Multivariate Methods: Festschrift in Honour of Hannu Oja*, 205-224, 2015

DOI:10.1007/978-3-319-22404-6_12

View abstract

**Kent JT** Contribution to the discussion of the paper Geodesic Monte Carlo on embedded manifolds *Scandinavian Journal of Statistics*, **41**, 10-11, 2014

DOI:10.1111/sjos.12068

**Kent JT** Contribution to the discussion of the paper geodesic monte carlo on embedded manifolds *Scandinavian Journal of Statistics*, 2014

DOI:10.1111/sjos.12068

**Kent JT ** *Visualizing projective shape space*Lecture Notes in Computer Science (including subseries Lecture Notes in Artificial Intelligence and Lecture Notes in Bioinformatics), 335-342 2013

DOI:10.1007/978-3-642-40020-9_36

View abstract

**Mardia KV, Kent JT, Zhang Z, Taylor CC, Hamelryck T** Mixtures of concentrated multivariate sine distributions with applications to bioinformatics *Journal of Applied Statistics*, **39**, 2475-2492, 2012

DOI:10.1080/02664763.2012.719221

View abstract

**Kent JT, Abu-Shanab R, Strawderman WE** Shrinkage estimation with a matrix loss function *Electronic Journal of Statistics*, **6**, 2347-2355, 2012

**Kent JT, Mardia KV** A geometric approach to projective geometry and the cross-ratio *Biometrika*, **99**, 833-849, 2012

**Kent JT, Mohammadzadeh M, Mosammam AM** The dimple in Gneiting's spatial-temporal covariance model *BIOMETRIKA*, **98**, 489-494, 2011

DOI:10.1093/biomet/asr006

**Kent JT** Comment *Statistica Sinica*, **20**, 65-72, 2010

**Mosamam AM, Kent JT** Semi-reproducing kernel Hilbert spaces, splines and increment kriging *J NONPARAMETR STAT*, **22**, 711-722, 2010

DOI:10.1080/10485250903388886

**Kent JT** INTRINSIC SHAPE ANALYSIS: GEODESIC PCA FOR RIEMANNIAN MANIFOLDS MODULO ISOMETRIC LIE GROUP ACTIONS COMMENT *STAT SINICA*, **20**, 65-72, 2010

**Mardia KV, Kent JT, Hughes G, Taylor CC** Maximum likelihood estimation using composite likelihoods for closed exponential families *BIOMETRIKA*, **96**, 975-982, 2009

DOI:10.1093/biomet/asp056

**Bickel P, Buhlmann P, Yao QW, Samworth R, Hall P, Titterington DM, Xue JH, Anagnostopoulos C, Tasoullis DK, Zhang WY, Xia YC, Johnstone IM, Richardson S, Bottolo L, Kent JT, Adragni K, Cook RD, Gather U, Guddat C, Greenshtein E, James GM, Radchenko P, Leng CL, Wang HS, Levina E, Zhu J, Li RZ, Liu YF, Longford NT, Luo WQ, Baxter PD, Taylor CC, Marron JS, Morris JS, Robert CP, Yu KM, Zhang CH, Zhang HH, Zhou HH, Lin XH, Zou H** Sure independence screening for ultrahigh dimensional feature space Discussion *J ROY STAT SOC B*, **70**, 883-911, 2008

**Mardia KV, Nyirongo VB, Walder AN, Xu C, Dowd PA, Fowell RJ, Kent JT** Markov chain Monte Carlo implementation of rock fracture modelling *MATH GEOL*, **39**, 355-381, 2007

DOI:10.1007/s11004-007-9099-3

**Walls RE, Barber S, Kent JT, Gilthorpe MS** An adaptive empirical Bayesian thresholding procedure for analysing microarray experiments with replication *J ROY STAT SOC C-APP*, **56**, 271-291, 2007

**Kent JT, Mardia KV, Taylor CC** Bioinformatics and the Problem of Matching Unlabelled Configurations *Royal Statistical Society. Journal. Series B: Methodological*, 2007

**Mardia KV, Walder AN, Xu C, Dowd PA, Fowell RJ, Nyirongo V, Kent JT** A line finding assignment problem and rock fracture modelling In *Bayesian Statistics and Its Applications*, 2007

**Snijders TAB, Robinson T, Atkinson AC, Riani M, Gormley IC, Murphy TB, Sweeting T, Leslie DS, Longford NT, Kent JT, Lawrance T, Airoldi EM, Besag J, Blei D, Fienberg SE, Breiger R, Butts CT, Doreian P, Batagelj V, Ferligoj A, Draper D, van Duijn MAJ, Faust K, Petrescu-Prahova M, Forster JJ, Gelman A, Goodreau SM, Greenwood PE, Gruenberg K, Francis B, Hennig C, Hoff PD, Hunter DR, Husmeier D, Glasbey C, Krackhardt D, Kuha J, Skrondal A, Lawson A, Liao TF, Mendes B, Draper D, Reinert G, Richardson S, Lewin A, Titterington DM, Wasserman S, Werhli AV, Ghazal P** Discussion on the paper by Handcock, Raftery and Tantrum *J ROY STAT SOC A STA*, **170**, 322-354, 2007

**Hamelryck T, Kent JT, Krogh A** Sampling realistic protein conformations using local structural bias *PLOS COMPUT BIOL*, **2**, 1121-1133, 2006

DOI:10.1371/journal.pcbi.0020131

**Kent JT, Mardia KV** A New Representation for Projective Shape In *Interdisciplinary Statistics and Bioinformatics*, 75-78, 2006

**Boomsma W, Kent JT, Mardia KV, Taylor CC, Hamelryck T** Graphical Models and Directional Statistics Capture Protein Structure In *Interdisciplinary Statistics and Bioinformatics*, 91-94, 2006

**Kent JT, Mardia KV, McDonnell P** The complex Bingham quartic distribution and shape analysis *J ROY STAT SOC B*, **68**, 747-765, 2006

**Mardia KV, Walder AN, Xu C, Dowd PA, Fowell RJ, Nyirongo V, Kent JT** MCMC implementation of rock fracture modelling In *Quantitative Biology, Shape Analysis, and Wavelets*, 166-167, 2005

**Kent JT, Hamelryck T** Using the Fisher-Bingham distribution in stochastic models for protein structure. In *Quantitative Biology, Shape Analysis and Wavelets*, 57-60, 2005

**Kent JT, Mardia KV, Taylor CC** Matching problems for unlabelled configurations In *Bioinformatics, Images, and Wavelets*, 33-36, 2004

**Arnold BC, David HA, Kent JT, Nagaraja HN, Ferreira JTAS, Steel MFJ, Jones MC** Families of distributions arising from distributions of order statistics - Discussion *TEST*, **13**, 23-37, 2004

**Kent JT** Discussion to a paper by M C Jones *TEST*, 2004

**Kent JT, Constable PDL, Er F** Simulation for the complex Bingham distribution *Statistics and Computing*, **14**, 53-57, 2004

DOI:10.1023/B:STCO.0000009414.14099.03

**Kent JT, Mardia KV, Taylor CC** Matching unlabelled configurations using the EM algorithm In *Proceedings in Stochastic Geometry, Biological Structure and Images*, 19-21, 2003

**Accardi L, Brody DC, Belavkin VP, Kent JT, Bingham NH, Frey JG, Helland IS, Larsson JA, Majumdar NK, Minozzo M, Thompson JW** Discussion on the paper by Barndorff-Nielsen, Gill and Jupp *J ROY STAT SOC B*, **65**, 805-816, 2003

**Kent JT** Statistical methology for deformations In *Proceedings in Stochastic Geometry, Biological Structure and Images*, 2003

**Kent JT; Lima VM ** *The non-uniqueness problem in L1 ordinary Procustes analysis.* 2003

**Kent JT, Mardia KV** Functional data analysis for spatio-temporal data In *Statistics of large datasets - functional and image data, bioinformatics and data mining*, pp.89, 2002

**Kent JT, Bowman A, Velilla S, Zhang WY, Critchley F, Atkinson A, Yao QW, Welsh AH, Cui HJ, Li GY, Spokoiny V, Chan KS, Li MC, Cizek P, Hardle W, Yang LJ, Cook RD, Fan JQ, Ferre L, Li KC, Li LX, Linton O, Ni LQ, Ohtaki M, Fujikoshi Y, Schoff JR, Setodji CM, Stenseth NC, Lingjaerde OC** An adaptive estimation of dimension reduction space - Discussion on the paper by Xia, Tong, Li and Zhu *J ROY STAT SOC B*, **64**, 388-410, 2002

**Kent JT** Discussion to a paper by SL Lauritzen and TS Richardson *Royal Statistical Society. Journal. Series B: Methodological*, **64**, 353-354, 2002

**Kent JT, Mardia KV** Modelling strategies for spatial-temporal data In *Spatial Cluster Modelling*, 213-226, 2002

**Dawid AP, Cox DR, Kreiner S, Green P, Shipley B, Kent JT, Smith JQ, Koster JTA, Madigan D, Andersson SA, Perlman MD, Robert CP, Marin JM, Rosenbaum PR, Roverato A, Consonni G, Studeny M** Chain graph models and their causal interpretations - Discussion on the paper by Lauritzen and Richardson *J ROY STAT SOC B*, **64**, 348-361, 2002

**Holbolth A, Kent JT, Dryden IL** On the relation between edge and vertex modelling in shape analysis *Scandinavian Journal of Statistics*, **29**, 355-374, 2002

DOI:10.1111/1467-9469.00295

**Kent JT** Proposal of the vote of thanks to a paper by Y Xia, WK Li and L-X Zhu *Royal Statistical Society. Journal. Series B: Methodological*, **64**, 388-389, 2002

**Kent JT, Bowman A, Velilla S, Zhang W, Critchley F, Atkinson AC, Yao Q, Welsh AH, Cui H, Li G, Spokoiny V, Chan KS, Li MC,Čížek P, Härdle W, Yang L, Cook RD, Fan J, Ferré L, Li KC, Li L, Linton O, Ni L, Ohtaki M, Fujikoshi Y, Schott JR, Setodji CM, Stenseth NC, Lingjærde OC** Discussion on the paper by Xia, Tong, Li and Zhu *Journal of the Royal Statistical Society. Series B: Statistical Methodology*, **64**, 388-410, 2002

**Kent JT, Mardia KV** Shape, Procrustes tangent projections and bilateral symmetry *Biometrika*, **88**, 469-485, 2001

DOI:10.1093/biomet/88.2.469

**Kent JT, Tyler DE** Regularity and uniqueness for constrained M-estimates and redescending M-estimates *ANN STAT*, **29**, 252-265, 2001

**Kent JT** Discussion to a paper by CA Glasbey and KV Mardia *Royal Statistical Society. Journal. Series B: Methodological*, **63**, pp.496, 2001

**Molchanov I, Jennison C, Ersboll BK, Hancock E, Wilson R, Horgan G, Kent JT, Ashburner J, Dryden IL, Petrou M, Angulo JM, Berman M, Coleman R, Duta N, Jain AK, Ghosh JK, Murthy CA, Gray A, Gustafsson J, Rudemo M, Hogg D, Koch I, Linney A, Ramsay JO, Ramsay TO, Rao MM, Sebastiani G, de Souza K, Sun CM, Buckley M, Titterington DM, Trubuil A, Worsley KJ, Yu KM** A penalized likelihood approach to image warping - Discussion *J ROY STAT SOC B*, **63**, 492-514, 2001

**Kent JT** Obituary: Edwin J Redfern *The Statistician*, **50**, 214-215, 2001

**Kent JT, Mardia KV, Aykroyd RG, Morris RJ** Functional models of growth for landmark data In *Proceedings in Functional and Spatial Data Analysis*, 109-115, 2001

**Kent JT, Dryden IL, Anderson CR** Using circulant symmetry to model featureless objects *Biometrika*, **87**, 527-544, 2000

View abstract

**Kent JT, Wood ATA** Estimating the fractal dimension of a locally self-similar Gaussian process by using increments *Royal Statistical Society. Journal. Series B: Methodological*, **59**, 679-699, 1997

View abstract

**Kent JT, Mardia KV** Consistency of Procrustes estimators *Royal Statistical Society. Journal. Series B: Methodological*, **59**, 281-290, 1997

View abstract

**Kent JT, Tyler DE** Constrained M-estimation for multivariate location and scatter *Annals of Statistics*, **24**, 1346-1370, 1996

View abstract

**Kent JT, Mardia KV, Taylor CC, Hamelryck T** Graphical models and directional statistics capture protein structure. In *Proceedings in Interdisciplinary Statistics and Bioinformatics*, 91-94

Kent JT; Bhattacharjee S; Hussein H; Jah MK *Orbital error propagation analysis using directional statistics for space objects*Proceedings of the 27th AAS/AIAA Space Flight Mechanics Meeting, San Antonio, Texas. February 5-9, 2017, AAS 17-390

View abstract

Kent JT; Bhattacharjee S; Hussein I; Jah MK *Angles-only data association using directional discriminant analysis*to be confirmed, AAS 17-390

View abstract

© Copyright Leeds 2011