Sir David Roxbee Cox
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Sir David Roxbee Cox
Sir David Roxbee Cox (15 July 1924 – 18 January 2022) was a British statistician and educator. His wide-ranging contributions to the field of statistics included introducing logistic regression, the proportional hazards model and the Cox process, a point process named after him. He was a professor of statistics at Birkbeck College, London, Imperial College London and the University of Oxford, and served as Warden of Nuffield College, Oxford. The first recipient of the International Prize in Statistics, he also received the Guy, George Box and Copley medals, as well as a knighthood. Early life Cox was born in Birmingham on 15 July 1924. His father was a die sinker and part-owner of a jewellery shop, and they lived near the Jewellery Quarter. The aeronautical engineer Harold Roxbee Cox was a distant cousin. He attended Handsworth Grammar School, Birmingham. He received a Master of Arts in mathematics at St John's College, Cambridge, and obtained his PhD from the University ...
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Birmingham
Birmingham ( ) is a City status in the United Kingdom, city and metropolitan borough in the metropolitan county of West Midlands (county), West Midlands, within the wider West Midlands (region), West Midlands region, in England. It is the List of English districts by population, largest local authority district in England by population and the second-largest city in Britain – commonly referred to as the second city of the United Kingdom – with a population of million people in the city proper in . Birmingham borders the Black Country to its west and, together with the city of Wolverhampton and towns including Dudley and Solihull, forms the West Midlands conurbation. The royal town of Sutton Coldfield is incorporated within the city limits to the northeast. The urban area has a population of 2.65million. Located in the West Midlands (region), West Midlands region of England, Birmingham is considered to be the social, cultural, financial and commercial centre of the Midland ...
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Gauss Moutinho Cordeiro
Gauss Moutinho Cordeiro (born April 17, 1952) is a Brazilian engineer, mathematician and statistician who has made significant contributions to the theory of statistical inference, mainly through asymptotic theory and applied probability. Education He received his PhD in Statistics in January 1983 at Imperial College London supervised by David Roxbee Cox and Peter McCullagh. Research Currently, Cordeiro is a Class A researcher of the Brazilian Research Council-CNPq, Full Professor at Federal University of Pernambuco (Brazil) and Member of the Graduate Program in Statistics at the same university. He has published more than 360 research articles in international scientific journals with referee practice (2015) and supervised more than 60 MSc dissertations and DSc theses. He was also president of the Associação Brasileira de Estatística, 2000–2002. He was one of the founder editors of the Brazilian Journal of Probability and Statistics and its Editor in Chief between 1995 a ...
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Design Of Experiments
The design of experiments (DOE), also known as experiment design or experimental design, is the design of any task that aims to describe and explain the variation of information under conditions that are hypothesized to reflect the variation. The term is generally associated with experiments in which the design introduces conditions that directly affect the variation, but may also refer to the design of quasi-experiments, in which natural conditions that influence the variation are selected for observation. In its simplest form, an experiment aims at predicting the outcome by introducing a change of the preconditions, which is represented by one or more independent variables, also referred to as "input variables" or "predictor variables." The change in one or more independent variables is generally hypothesized to result in a change in one or more dependent variables, also referred to as "output variables" or "response variables." The experimental design may also identify ...
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Stochastic Process
In probability theory and related fields, a stochastic () or random process is a mathematical object usually defined as a family of random variables in a probability space, where the index of the family often has the interpretation of time. Stochastic processes are widely used as mathematical models of systems and phenomena that appear to vary in a random manner. Examples include the growth of a bacterial population, an electrical current fluctuating due to thermal noise, or the movement of a gas molecule. Stochastic processes have applications in many disciplines such as biology, chemistry, ecology Ecology () is the natural science of the relationships among living organisms and their Natural environment, environment. Ecology considers organisms at the individual, population, community (ecology), community, ecosystem, and biosphere lev ..., neuroscience, physics, image processing, signal processing, stochastic control, control theory, information theory, computer scien ...
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Method Of Supplementary Variables
Method (, methodos, from μετά/meta "in pursuit or quest of" + ὁδός/hodos "a method, system; a way or manner" of doing, saying, etc.), literally means a pursuit of knowledge, investigation, mode of prosecuting such inquiry, or system. In recent centuries it more often means a prescribed process for completing a task. It may refer to: *Scientific method, a series of steps, or collection of methods, taken to acquire knowledge *Method (computer programming), a piece of code associated with a class or object to perform a task *Method (patent), under patent law, a protected series of steps or acts *Methodism, a Christian religious movement *Methodology, comparison or study and critique of individual methods that are used in a given discipline or field of inquiry *''Discourse on the Method'', a philosophical and mathematical treatise by René Descartes * ''Methods'' (journal), a scientific journal covering research on techniques in the experimental biological and medical sciences ...
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Power Transform
In statistics, a power transform is a family of functions applied to create a monotonic transformation of data using power functions. It is a data transformation technique used to stabilize variance, make the data more normal distribution-like, improve the validity of measures of association (such as the Pearson correlation In statistics, the Pearson correlation coefficient (PCC) is a correlation coefficient that measures linear correlation between two sets of data. It is the ratio between the covariance of two variables and the product of their standard deviation ... between variables), and for other data stabilization procedures. Power transforms are used in multiple fields, including Multiresolution analysis, multi-resolution and wavelet analysis, statistical data analysis, medical research, modeling of physical processes, Geochemical modeling, geochemical data analysis, epidemiology and many other clinical, environmental and social research areas. Definition The power tr ...
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Cox Process
In probability theory, a Cox process, also known as a doubly stochastic Poisson process is a point process which is a generalization of a Poisson process where the intensity that varies across the underlying mathematical space (often space or time) is itself a stochastic process. The process is named after the statistician David Cox, who first published the model in 1955. Cox processes are used to generate simulations of spike trains (the sequence of action potentials generated by a neuron), and also in financial mathematics where they produce a "useful framework for modeling prices of financial instruments in which credit risk is a significant factor." Definition Let \xi be a random measure. A random measure \eta is called a Cox process directed by \xi , if \mathcal L(\eta \mid \xi=\mu) is a Poisson process with intensity measure \mu . Here, \mathcal L(\eta \mid \xi=\mu) is the conditional distribution of \eta , given \ . Laplace transform If \eta is a Cox ...
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Cox Proportional Hazards Model
Proportional hazards models are a class of survival models in statistics. Survival models relate the time that passes, before some event occurs, to one or more covariates that may be associated with that quantity of time. In a proportional hazards model, the unique effect of a unit increase in a covariate is multiplicative with respect to the hazard rate. The hazard rate at time t is the probability per short time d''t'' that an event will occur between t and t + dt given that up to time t no event has occurred yet. For example, taking a drug may halve one's hazard rate for a stroke occurring, or, changing the material from which a manufactured component is constructed, may double its hazard rate for failure. Other types of survival models such as accelerated failure time models do not exhibit proportional hazards. The accelerated failure time model describes a situation where the biological or mechanical life history of an event is accelerated (or decelerated). Background ...
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Nancy Reid
Nancy Margaret Reid (born September 17, 1952) is a Canadian theoretical statistician. She is a professor at the University of Toronto where she holds a Canada Research Chair in Statistical Theory. In 2015 Reid became Director of the Canadian Institute for Statistical Sciences. Reid has served as President of the Institute of Mathematical Statistics and the Statistical Society of Canada. She is co-editor of the ''Annual Review of Statistics and Its Application''. In 1992, Reid received the COPSS Presidents' Award for outstanding contributions to statistics. She is a Fellow of the Royal Society, the Royal Society of Edinburgh, and the Royal Society of Canada; a Foreign Associate of the National Academy of Sciences; and an Officer of the Order of Canada. Education Nancy Reid was born in St. Catharines, Ontario, Canada. She studied mathematics and statistics at the University of Waterloo, earning her B.Math in 1974. She earned her M.Sc. at the University of British Columbia ...
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Jane Hutton
Jane Luise Hutton is a British medical statistician. Her research interests include meta-analysis, survival analysis, and ethics in mathematics, and she has participated in highly-cited studies on autism and cerebral palsy. She is a professor of statistics at the University of Warwick. She also frequently visits the African Institute for Mathematical Sciences in South Africa as a volunteer statistics instructor. Education and career Hutton read mathematics and statistics at the University of Edinburgh, earning a bachelor's degree with first class honours in 1982. After studying for a diploma in mathematical statistics at the University of Cambridge, she earned a PhD at Imperial College London in 1986. Her dissertation, ''Non-negative time series and shot noise processes as models for dry rivers'', was supervised by David Cox. She worked at the University of Liverpool from 1986 to 1995 and at Newcastle University from 1996 to 2000, before moving to the University of Warwick in 2000 ...
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Claudio Di Veroli
Claudio Di Veroli (born 1946) is an Argentine-Italian harpsichordist who has written several books and papers on baroque performance practice. Born in Buenos Aires, Argentina, he was raised in an Italian family and attended Italian primary and secondary school. He studied privately in Buenos Aires under (piano and interpretation), (harmony) and Ljerko Spiller (chamber music), obtained a degree in mathematics from the University of Buenos Aires and a PhD in statistics from Imperial College, London, under the supervision of Prof. Sir David Cox (statistician). Living in Europe in the early 70's he studied harpsichord with Colin Tilney Colin Graham Tilney (31 October 1933 – 17 December 2024) was a British-Canadian harpsichordist, fortepianist and teacher. He is well known for his historically-informed approach to performance practice, performing on original or copied ins ... in London and in Paris. He then returned to Buenos Aires, where he pioneered the performance of Ba ...
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