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" Probability and mathematical genetics : "
edited by N.H. Bingham, C.M. Goldie.
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BL
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| Record Number
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105997
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| Doc. No
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b63546
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GBB052589
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| Title & Author
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Probability and mathematical genetics : : [papers in honour of Sir John Kingman] /\ edited by N.H. Bingham, C.M. Goldie.
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| Publication Statement
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Cambridge, UK ;New York :: Cambridge University Press,, 2010.
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| Series Statement
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London Mathematical Society lecture note series ;; 378
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| Page. NO
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xvii, 528 p. :: ill. ;; 23 cm.
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| ISBN
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9780521145770 (pbk.)
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: 0521145775 (pbk.)
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| Bibliographies/Indexes
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Includes bibliographical references and index.
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| Contents
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1.Introduction / David J. Aldous -- 2.Excliangeability / David J. Aldous -- 3.Using excliangeability to describe complex structures / David J. Aldous -- 4.Construction of, and convergence to, infinite random combinatorial objects / David J. Aldous -- 5.Limits of finite deterministic structures / David J. Aldous -- 6.Miscellaneous comments / David J. Aldous -- 1.Introduction / G.K. Ambler / B.W. Silverman -- 2.Perfect simulation / G.K. Ambler / B.W. Silverman -- 3.Area-interactioli processes / G.K. Ambler / B.W. Silverman -- 4.Nonpanunetric regression by wavelet thresholding / G.K. Ambler / B.W. Silverman -- 5.Perfect simulation for wavelet curve estimation / G.K. Ambler / B.W. Silverman -- 6.Conclusion / G.K. Ambler / B.W. Silverman -- 1.Introduction / A.D. Barbour / S. Tavare -- 2.Colorectal cancer data / A.D. Barbour / S. Tavare -- 3.The Ewens sampling formula / A.D. Barbour / S. Tavare -- 4.Analysis of the cancer data / A.D. Barbour / S. Tavare -- 5.Poisson approximation / A.D. Barbour / S. Tavare -- 6.Conclusion / A.D. Barbour / S. Tavare -- 1.Introduction / J.D. Biggins -- 2.The basic model / J.D. Biggins -- 3.Spreading out: old results / J.D. Biggins -- 4.Spreading out: first refinements / J.D. Biggins -- 5.Spreading out: recent refinements / J.D. Biggins -- 6.Deterministic theory / J.D. Biggins -- 7.The multitype case / J.D. Biggins -- 8.Anomalous spreading / J.D. Biggins -- 9.Discussion of anomalous spreading / J.D. Biggins -- 1.Introduction / N.H. Bingham / A.J. Ostaszewski -- 2.Preliminaries / N.H. Bingham / A.J. Ostaszewski -- 3.A bitopological Kingman theorem / N.H. Bingham / A.J. Ostaszewski -- 4.Applications[�] rational skeletons / N.H. Bingham / A.J. Ostaszewski -- 5.KBD in van der Waerden style / N.H. Bingham / A.J. Ostaszewski -- 6.Applications: additive combinatorics / N.H. Bingham / A.J. Ostaszewski -- 0.Preamble / D.J. Daley -- 1.Introduction / D.J. Daley -- 2.Stationary renewal and alternating renewal processes / D.J. Daley -- 3.Second moments / D.J. Daley -- 4.An alternating renewal process not satisfying Condition A / D.J. Daley -- 5.Postlude / D.J. Daley -- 1.Introduction / Aurore Delaigle / Peter Hall -- 2.Methodology and theory / Aurore Delaigle / Peter Hall -- 3.Relationship to minimum contrast methods / Aurore Delaigle / Peter Hall -- 1.Introduction / Peter Donnelly / Stephen Leslie -- 2.The coalescent and the Fleming-Viot process / Peter Donnelly / Stephen Leslie -- 3.Inference under the coalescent / Peter Donnelly / Stephen Leslie -- 4.Thc Li and Stephens model / Peter Donnelly / Stephen Leslie -- 5.Application: modelling population structure / Peter Donnelly / Stephen Leslie -- 1.Introduction / Warren J. Ewens / Geoffrey A. Watterson -- 2.Background / Warren J. Ewens / Geoffrey A. Watterson -- 3.Putting it, together / Warren J. Ewens / Geoffrey A. Watterson -- 4.Robustness / Warren J. Ewens / Geoffrey A. Watterson -- 5.A convergence result / Warren J. Ewens / Geoffrey A. Watterson -- 6.Partition structures / Warren J. Ewens / Geoffrey A. Watterson -- 7.'Age' properties and the GEM distribution / Warren J. Ewens / Geoffrey A. Watterson -- 8.The coalescent / Warren J. Ewens / Geoffrey A. Watterson -- 9.Other matters / Warren J. Ewens / Geoffrey A. Watterson -- 1.Introduction / Alexander Gnedin / Chris Haulk / Jim Pitman -- 2.Partition structures / Alexander Gnedin / Chris Haulk / Jim Pitman -- 3.Partially exchangeable partitions / Alexander Gnedin / Chris Haulk / Jim Pitman -- 4.Exchangeable partitions / Alexander Gnedin / Chris Haulk / Jim Pitman -- 5.The deletion property without the regularity condition / Alexander Gnedin / Chris Haulk / Jim Pitman -- 6.Regeneration and [MARC+78]-deletion / Alexander Gnedin / Chris Haulk / Jim Pitman -- 1.Introduction / C.M. Goldie / R. Cornish / C.L. Robinson -- 2.Coupon collecting / C.M. Goldie / R. Cornish / C.L. Robinson -- 3.How ninny tests? / C.L. Robinson / R. Cornish / C.M. Goldie -- 4.Asymptotis / C.L. Robinson / R. Cornish / C.M. Goldie -- 5.Proofs for [�]4 / C.L. Robinson / R. Cornish / C.M. Goldie -- 6.Numerical results / R. Cornish / C.L. Robinson / C.M. Goldie -- 7.Discussion / C.L. Robinson / R. Cornish / C.M. Goldie -- 1.Introduction / Peter J. Green -- 2.Mixture models and the Dirichlet process / Peter J. Green -- 3.Applications and generalisations / Peter J. Green -- 4.Pólya urn schemes and MCMC samplers / Peter J. Green -- 5.A coloured Dirichlet process / Peter J. Green -- 1.Introduction and definition / D.R. Grey -- 2.Three examples / D.R. Grey -- 3.Some remarks on duality and asymptotic independence / D.R. Grey -- 1.Introduction / R.C. Griffiths / D. Spanci -- 2.A coalescent dual process / R.C. Griffiths / D. Spanci -- 3.Processes with beta stationary distributions and Jacobi polynomial eigenfunctions / R.C. Griffiths / D. Spanci -- 4.Subordinated Jacobi diffusion processes / R.C. Griffiths / D. Spanci -- 5.Subordinated coalescent process / D. Spanci / R.C. Griffiths -- 1.Introduction / Geoffrey Grimmett -- 2.Site percolation / Geoffrey Grimmett -- 3.Clairvoyant scheduling / Geoffrey Grimmett -- 4.Clairvoyant compatibility / Geoffrey Grimmett -- 5.Clairvoyant embedding / Geoffrey Grimmett -- 6.Dependent percolation / Geoffrey Grimmett -- 7.Percolation of words / Geoffrey Grimmett -- 1.Introduction / K.C. Zygalakis / J.R. Norris / V.H. Hoang / P.H. Haynes -- 2.Review of homogenization for diffusion with periodic drift / J.R. Norris / V.H. Hoang / P.H. Haynes / K.C. Zygalakis -- 3.Existence of a volume growth rate for a diffusion sausage with periodic drift / K.C. Zygalakis / J.R. Norris / V.H. Hoang / P.H. Haynes -- 1.Estimates for the diffusion sausage / V.H. Hoang / K.C. Zygalakis / J.R. Norris / P.H. Haynes -- 5.Asymptotics of the growth rate for small and large cross-sections / P.H. Haynes / K.C. Zygalakis / V.H. Hoang / J.R. Norris -- 6.homogenization of the advection-diffusion equation in a perforated domain / P.H. Haynes / V.H. Hoang / J.R. Norris / K.C. Zygalakis -- 7.The case of diffusivity epsilon2 I / J.R. Norris / K.C. Zygalakis / V.H. Hoang / P.H. Haynes -- 8.Monte Carlo computation of the asymptotic growth rate / K.C. Zygalakis / J.R. Norris / V.H. Hoang / P.H. Haynes -- 1.Introduction / F.P. Kelly / R.J. Williams -- 2.A single queue / F.P. Kelly / R.J. Williams -- 3.A model of Internet congestion / F.P. Kelly / R.J. Williams -- 4.A Brownian network model / F.P. Kelly / R.J. Williams -- 5.A model of a controlled motorway / R.J. Williams / F.P. Kelly -- 6.Route choices / R.J. Williams / F.P. Kelly -- 7.Concluding remarks / F.P. Kelly / R.J. Williams -- 1.Different kinds of couplings / W.S. Kendall -- 2.Reflection coupling / W.S. Kendall -- 3.Coupling more than one feature of the process / W.S. Kendall -- 4.Conclusion / W.S. Kendall -- 1.Introduction / S. Volkov / V. Shcherbakov -- 2.Results / S. Volkov / V. Shcherbakov -- 3.Asymmetric interaction / V. Shcherbakov / S. Volkov -- 4.Symmetric interaction / V. Shcherbakov / S. Volkov -- 5.Appendix / S. Volkov / V. Shcherbakov -- 1.Interrogation, transmission and coding / P. Whittle -- 2.A tractable infinite-horizon case / P. Whittle -- 1.Introduction / David Williams -- 2.Wiener Hopferization / David Williams -- 3.How does ODE theory see the phase transition? / David Williams -- 4.Proof of Theorem 1.1 and more / David Williams.
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| Subject
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Kingman, J. F. C., (John Frank Charles)
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| Subject
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Probabilities.
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| Subject
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Genetics-- Mathematical models.
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| Dewey Classification
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519.2
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| LC Classification
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QA273.P79532 2010
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| Added Entry
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Bingham, N. H.
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Goldie, C. M.
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Kingman, J. F. C., (John Frank Charles)
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