Probability and Mathematical Genetics: Papers in Honour of Sir John Kingman

doi:10.1017/CBO9781139107174

Probability and Mathematical Genetics

Papers in Honour of Sir John Kingman

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Faragó, András 2021. Decomposition of Random Sequences into Mixtures of Simpler Ones and Its Application in Network Analysis. Algorithms, Vol. 14, Issue. 11, p. 336.

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Bulinski, Alexander and Slepov, Nikolay 2022. Sharp Estimates for Proximity of Geometric and Related Sums Distributions to Limit Laws. Mathematics, Vol. 10, Issue. 24, p. 4747.

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Edited by N. H. Bingham, Imperial College, London, C. M. Goldie, University of Sussex

Publisher:: Cambridge University Press
Online publication date:: September 2011
Print publication year:: 2010
Online ISBN:: 9781139107174
DOI:: https://doi.org/10.1017/CBO9781139107174

Subjects:: Mathematics (general), Genetics, Life Sciences, Probability Theory and Stochastic Processes, Statistics and Probability
Series:: London Mathematical Society Lecture Note Series (378)

78.99 (GBP)

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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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Probability and Mathematical Genetics

Papers in Honour of Sir John Kingman

This Book has been cited by the following publications. This list is generated based on data provided by Crossref.

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Contents

Frontmatter
pp i-vi

Contents
pp vii-xii

List of contributors
pp xiii-xiv

Preface
pp xv-xviii

Bibliography of J. F. C. Kingman
pp 1-16

1 - A fragment of autobiography, 1957–1967
pp 17-34

2 - More uses of exchangeability: representations of complex random structures
pp 35-63

3 - Perfect simulation using dominated coupling from the past with application to area-interaction point processes and wavelet thresholding
pp 64-90

4 - Assessing molecular variability in cancer genomes
pp 91-112

5 - Branching out
pp 113-134

6 - Kingman, category and combinatorics
pp 135-168

7 - Long-range dependence in a Cox process directed by an alternating renewal process
pp 169-184

8 - Kernel methods and minimum contrast estimators for empirical deconvolution
pp 185-203

9 - The coalescent and its descendants
pp 204-237

10 - Kingman and mathematical population genetics
pp 238-263

11 - Characterizations of exchangeable partitions and random discrete distributions by deletion properties
pp 264-298

12 - Applying coupon-collecting theory to computer-aided assessments
pp 299-318

13 - Colouring and breaking sticks: random distributions and heterogeneous clustering
pp 319-344

14 - The associated random walk and martingales in random walks with stationary increments
pp 345-357

15 - Diffusion processes and coalescent trees
pp 358-379

16 - Three problems for the clairvoyant demon
pp 380-396

17 - Homogenization for advection-diffusion in a perforated domain
pp 397-415

18 - Heavy traffic on a controlled motorway
pp 416-445

19 - Coupling time distribution asymptotics for some couplings of the Lévy stochastic area
pp 446-463

20 - Queueing with neighbours
pp 464-482

21 - Optimal information feed
pp 483-490

22 - A dynamical-system picture of a simple branching-process phase transition
pp 491-508

Index
pp 509-528

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Probability and Mathematical Genetics

Papers in Honour of Sir John Kingman

Book description

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Contents

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