By Anthony C. Davison, Yadolah Dodge, Nanny Wermuth
Originating from a gathering celebrating the eightieth birthday of Sir David Cox, the eminent Oxford student whose many vital and penetrating contributions to fashionable information have had a unprecedented effect, this number of papers by way of significant statistical researchers presents an outline of present advancements throughout quite a lot of learn parts. Contributing authors and themes contain: O.E. Barndorff-Nielsen (Aarhus): records and Physics; A.C. Davison (Lausanne): Statistical tools; S. Darby (Oxford): Epidemiology; D. Firth (Warwick): Social facts; P. corridor (Canberra): Nonparametrics; V.S.Isham (University university, London): Stochastic Modelling; P. McCullagh (Chicago): Statistical versions; N. Reid (Toronto): Asymptotics; B.D. Ripley (Oxford): Statistical computing; I. Rodriguez-Iturbe (Princeton): Statistical hydrology; A. Rotnitsky (Harvard): Semiparametrics; N. Shepard (Oxford): Statistical econometrics; N> Wermuth (Mainz): Graphical versions; S.L. Zeger (Johns Hopkins): Biostatistics. compatible for college students of information in any respect degrees from complicated undergraduate to submit graduate, for practising statisticians, and knowledge analysts, and for records and cognate fields, this booklet is a becoming tribute to Sir David Cox and his substantial effect on sleek data.
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Additional resources for Celebrating Statistics: Papers in honour of Sir David Cox on his 80th birthday (Oxford Statistical Science Series)
G. (1977). Design and analysis of randomized clinical trials requiring prolonged observation of each patient. II Analysis and Examples. British J. Cancer , 35, 1–39. Cox, D. R. (1978). Foundations of statistical inference: The case for eclecticism (with discussion). J. Australian Statist. , 20, 43–59. Cox, D. R. (1978). Queues. International Encyclopaedia of Statistics, W. H. Kruskal and J. W. ), Volume 2, New York: Free Press/London: Collier Macmillan, 834– 838. Cox, D. R. (1978). Some remarks on the role in statistics of graphical methods.
Health Statistics Quarterly, 17, 5–12. Cox, D. R. (2003). Communication of risk: health hazards from mobile phones. J. R. Statist. Soc. A, 166, 241–246. Cox, D. R. (2003). Conditional and marginal association for binary random variables. Biometrika, 90, 982–984. Cox, D. R. (2003). Henry Ellis Daniels. Biographical Memoirs of Fellows of the Royal Society, 49, 133–146. Cox, D. R. (2003). Some remarks on statistical aspects of econometrics. In Stochastic Musings, J. ). Mahwah, New Jersey: Lawrence Erlbaum, 20–28.
In particular, if two populations have identical proportions of infectives and susceptibles at time t, then the expected proportions at time t + 1 will also be the same. If n is large and a single infective is introduced into a population of n − 1 susceptibles then, to a ﬁrst approximation, p can be interpreted as the probability that there will be some spread of infection. In the last 80 years, deterministic and stochastic epidemic models, in both discrete and continuous time, have been much studied.