Probability and Mathematical Genetics
Probability and Mathematical Genetics
$59.99
USDFocussing 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.
- Sir John Kingman gives a first-hand account of developments in the 1960s
- A state-of-the-art treatment of mathematical genetics, relevant to genomic research
- Distinguished authors include 11 Fellows of the Royal Society
Product details
December 2011Adobe eBook Reader
9781139119313
0 pages
0kg
30 b/w illus. 10 tables
This ISBN is for an eBook version which is distributed on our behalf by a third party.
Table of Contents
- 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.
