Probability and Mathematical Genetics potx

[...]... Mixture models and the Dirichlet process 3 Applications and generalisations 4 P´lya urn schemes and MCMC samplers o 5 A coloured Dirichlet process 14 The associated random walk and martingales in random walks with stationary increments D R Grey 1 Introduction and definition 2 Three examples 3 Some remarks on duality and asymptotic independence 15 Diffusion processes and coalescent trees R C Griffiths and D Span´... Methodology and theory Relationship to minimum contrast methods ix 191 195 The coalescent and its descendants Peter Donnelly and Stephen Leslie 1 Introduction 2 The coalescent and the Fleming–Viot process 3 Inference under the coalescent 4 The Li and Stephens model 5 Application: modelling population structure 204 205 206 213 215 221 10 Kingman and mathematical population genetics Warren J Ewens and Geoffrey... Cambridge ScD John Kingman’s mathematical work is remarkable for both its breadth and its depth But what shines out from everything he does, whether his written papers and books or his lectures and seminars, is lucidity Kingman is always clear, and lucid This even extends to his handwriting— small, neat and beautifully legible The Wiley typesetters who set his 1972 book worked from his handwritten manuscript,... both the Royal Statistical Society (1987–89) and the London Mathematical Society (1990–92) He has also served as President of the European Mathematical Society (2003–06) He received the LMS Berwick Prize in 1967, the RSS Guy Medal in silver in 1981, and the RS Royal Medal in 1983 (for his work on queueing theory, regenerative phenomena and mathematical genetics) He holds a number of honorary doctorates... by Bobrowski, A 2 Books edited [E1] Ibragimov, I A., and Linnik, Yu V 1971 Independent and Stationary Sequences of Random Variables Groningen: Wolters-Noordhoff Publishing With a supplementary chapter by I A Ibragimov and V V Petrov Translation from the Russian edited by J F C Kingman [E2] Bodmer, W F., and Kingman, J F C (eds) 1983 Mathematical Genetics: Proceedings of a Royal Society Meeting held... C 1972 On random sequences with spherical symmetry Biometrika, 59, 492–494 [M58] Kingman, J F C 1972 Regenerative phenomena and the characterization of Markov transition probabilities Pages 241–262 of: Le Cam, L., Neyman, J., and Scott, E L (eds), Proceedings of the Sixth Berkeley Symposium on Mathematical Statistics and Probability (Univ California, Berkeley, Calif., 1970/1971), Vol III: Probability. .. 183–197 Bibliography of J F C Kingman 7 [M87] Kingman, J F C 1982 Exchangeability and the evolution of large populations Pages 97–112 of: Koch, G., and Spizzichino, F (eds), Exchangeability in Probability and Statistics Amsterdam: North-Holland Proceedings of the International Conference on Exchangeability in Probability and Statistics, Rome, 6th-9th April, 1981, in honour of Professor Bruno de Finetti... 1972 Review of A Course in Probability Theory, by Chung, K L., Introduction to Probability and Statistics, by Goldman, M., and Probability and Statistical Inference, by Krutchkoff, R G Math Gazette, 56(395), 67 [R48] Kingman, J F C 1972 Review of Dynamic Probabilistic Systems Volume 1: Markov Models and Volume 2: Semi-Markov and Decision Processes, by Howard, Ronald A J Roy Statist Soc A (General), 135(1),... Matthes, K., Kerstan, J and Mecke, J J Roy Statist Soc A (General), 142(2), 263 [R76] Kingman, J F C 1979 Review of Introduction to Probability and Measure, by Parthasarathy, K R J Roy Statist Soc A (General), 142(3), 385–386 [R77] Kingman, J F C 1979 Review of Probability Theory: Independence, Interchangeability, Martingales, by Chow, Y S and Teicher, H., and Diffusions, Markov Processes and Martingales,... authored Books edited Mathematical articles Abstracts Book reviews authored Discussion contributions Other contributions Interviews and biographies 1 Books authored [B1] Kingman, J F C., and Taylor, S J 1966 Introduction to Measure and Probability Cambridge: Cambridge University Press [B2] Kingman, J F C 1966 On the Algebra of Queues Methuen’s Supplementary Review Series in Applied Probability, vol 6 . cohomology and its applications, G. BERHUY