Probability and Mathematical Genetics (eBook, PDF)

Papers in Honour of Sir John Kingman
Redaktion: Bingham, N. H.

• Format: PDF

Produktbeschreibung

Focussing on the work of Sir John Kingman, one of the world's leading researchers in probability and mathematical genetics, this book touches on the important areas of these subjects in the last 50 years. Leading authorities give a unique insight into a wide range of currently topical problems. Papers in probability concentrate on combinatorial and structural aspects, in particular exchangeability and regeneration. The Kingman coalescent links probability with mathematical genetics and is fundamental to the study of the latter. This has implications across the whole of genomic modelling including the Human Genome Project. Other papers in mathematical population genetics range from statistical aspects including heterogeneous clustering, to the assessment of molecular variability in cancer genomes. Further papers in statistics are concerned with empirical deconvolution, perfect simulation, and wavelets. This book will be warmly received by established experts as well as their students and others interested in the content.

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Produktdetails

• Verlag: Cambridge University Press
• Erscheinungstermin: 15. Juli 2010
• Englisch
• ISBN-13: 9781139119313
• Artikelnr.: 38278965

Inhaltsangabe

Preface; List of contributors; Bibliography of J. F. C. Kingman; 1. A
fragment of autobiography, 1957-1967 J. F. C. Kingman; 2. More uses of
exchangeability: representations of complex random structures David J.
Aldous; 3. Perfect simulation using dominated coupling from the past with
application to area-interaction point processes and wavelet thresholding G.
K. Ambler and B. W. Silverman; 4. Assessing molecular variability in cancer
genomes A. D. Barbour and S. Tavaré; 5. Branching out J. D. Biggins; 6.
Kingman, category and combinatorics N. H. Bingham and A. J. Ostaszewski; 7.
Long-range dependence in a Cox process directed by an alternating renewal
process D. J. Daley; 8. Kernel methods and minimum contrast estimators for
empirical deconvolution Aurore Delaigle and Peter Hall; 9. The coalescent
and its descendants Peter Donnelly and Stephen Leslie; 10. Kingman and
mathematical population genetics Warren J. Ewens and Geoffrey A. Watterson;
11. Characterizations of exchangeable partitions and random discrete
distributions by deletion properties Alexander Gnedin, Chris Haulk and Jim
Pitman; 12. Applying coupon-collecting theory to computer-aided assessments
C. M. Goldie, R. Cornish and C. L. Robinson; 13. Colouring and breaking
sticks: random distributions and heterogeneous clustering Peter J. Green;
14. The associated random walk and martingales in random walks with
stationary increments D. R. Grey; 15. Diffusion processes and coalescent
trees R. C. Griffiths and D. Spanó; 16. Three problems for the clairvoyant
demon Geoffrey Grimmett; 17. Homogenization for advection-diffusion in a
perforated domain P. H. Haynes, V. H. Hoang, J. R. Norris and K. C.
Zygalakis; 18. Heavy traffic on a controlled motorway F. P. Kelly and R. J.
Williams; 19. Coupling time distribution asymptotics for some couplings of
the Lévy stochastic area W. S. Kendall; 20. Queueing with neighbours V.
Shcherbakov and S. Volkov; 21. Optimal information feed P. Whittle; 22. A
dynamical-system picture of a simple branching-process phase transition
David Williams; Index.