Probability and Mathematical Genetics

Erscheinungsjahr 2010
ISBN: 978-0-521-14577-0
Verlag: Cambridge University Press

Buch, Englisch, Band 378, 546 Seiten, Format (B × H): 152 mm x 229 mm, Gewicht: 784 g

Reihe: London Mathematical Society Lecture Note Series

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.

Autoren/Hrsg.

Bingham, N. H.

Goldie, C. M.

Fachgebiete

• Mathematik | Informatik Mathematik Stochastik Wahrscheinlichkeitsrechnung
• Naturwissenschaften Biowissenschaften Biowissenschaften Genetik und Genomik (nichtmedizinisch)
• Mathematik | Informatik Mathematik Stochastik Mathematische Statistik
• Naturwissenschaften Biowissenschaften Angewandte Biologie Biomathematik

Inhaltsverzeichnis

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.

Über Autor(innen)

Bingham, N. H.
N. H. Bingham is a Professor in the Department of Mathematics at Imperial College London.

Goldie, C. M.
C. M. Goldie is Emeritus Professor in the Department of Mathematics at the University of Sussex.