Dr Alfred Kume

Lecturer in Statistics
Room: E114
Tel: +44 1227 827901
internal 7901
Email: a.kume@kent.ac.uk
 
me




Research interests


Shape analysis, directional statistics, image analysis, stochastic geometry, multivariate analysis, computational statistics.

Publications
Le, H. and Kume, A  (2000). The Frèchet mean and the shape of the means Advances of Applied Probability, Vol.32  p101-114.

Kume, A and Le, H.(2000).  Estimating the Frèchet mean in Bookstein shape spaces Advances of Applied Probability, Vol.32  p663-674.

Le, H. and Kume, A  (2000). Detection of Shape Changes in Biological Features The Journal of Microscopy, Vol.200  p140-147. Le, H., and Kume, A.

Kume, A., Dryden, I.L., Le, H., Wood, A. T.A. (2002). Fitting cubic splines to data in shape spaces of planar configurations. In Mardia, K.V., Aykroyd, R.G., and McDonnell, P., editors, Proceedings in Statistics of Large Datasets, LASR2002, pages 119--122. University of Leeds.

Dryden, I.L., Kume, A., Le, H., Wood, A. T.A., and Laughton, C. (2002). Size-and-shape analysis of DNA molecular dynamics simulations. In Mardia, K.V., Aykroyd, R.G., and McDonnell, P., editors, Proceedings in Statistics of Large Datasets, LASR2002, pages 23--26. University of Leeds.

Kume, A. and Le, H. (2003). On Frechèt means in simplex shape spaces. Advances of Applied Probability, 35(4):885-897.

Kume, A. and Wood, A. T.A. (2005). Saddlepoint approximations for the Bingham and Fisher-Bingham normalising constants. Biometrika.92:465-476.

Kume, A. and Walker, S.G. (2006) Sampling from compositional and directional distributions. Statistics and Computing, 16(3):261 - 265.

Kume, A., Dryden, I.L. and Le, H. (2007). Shape space smoothing splines for planar landmark data. Biometrika, 94(3), 513-528.

Dryden, I.L., Kume, A., Le, H. and Wood, A. T.A. (2006). Statistical inference for functions of the covariance matrix of stationary Gaussian vector time series To appear in the Annals of the Institute of Statistical Mathematics.

 Dryden, I.L., Kume, A., Le, H. and Wood, A. T.A. (2007).The MDS model for shape: an alternative approach. Conditionally accepted to Biometrika.

Kume, A. and Wood, A. T.A. (2007). On the derivatives of the normalising constant of the Bingham distribution. Statistics and Probability Letters, Vol. 77, pp. 832-837.

Hashorva E., Kotz S. and Kume, A. (2007)  Lp-norm generalised symmetrised Dirichlet distributions, Albanian Journal of Mathematics, Vol. 1, pp. 36-52.
Current  research

Dryden, I.L. and Martel, A. and Kume, A. and Allder, S. and Moody, A. (2004). Shape analysis of stroke infarcts. Technical report, In preparation.

Kume, A. and Welling, M. (2006) Maximum-likelihood estimation for the offset normal shape distributions using EM. Submitted for publication.

Kume, A. and Walker, S.G. (2008) On the Fisher--Bingham Distribution, Submitted for publication.

Breuer, L. and Kume, A. (2008) An EM algorithm for Markovian arrival processes observed at discrete times. Submitted for publication.

Teaching
I am currently teaching Time Series and Simulation MA639. Lecture notes together with solutions to exercises and  past exam papers can be found here (local access only).

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