Publications
60 results found
Bingham NH, 2012, Multivariate prediction and matrix Szegö theory, Probability Surveys, Vol: 9, ISSN: 1549-5787
Bingham NH, 2012, Szegö’s theorem and its probabilistic descendants, Probability Surveys, Vol: 9, ISSN: 1549-5787
Bingham NH, Ostaszewski AJ, 2011, Homotopy and the Kestelman-Borwein-Ditor Theorem, CANADIAN MATHEMATICAL BULLETIN-BULLETIN CANADIEN DE MATHEMATIQUES, Vol: 54, Pages: 12-20, ISSN: 0008-4395
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- Citations: 4
Bingham NH, Ostaszewski AJ, 2011, Dichotomy and infinite combinatorics: the theorems of Steinhaus and Ostrowski, MATHEMATICAL PROCEEDINGS OF THE CAMBRIDGE PHILOSOPHICAL SOCIETY, Vol: 150, Pages: 1-22, ISSN: 0305-0041
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- Citations: 18
Bingham NH, Ostaszewski AJ, 2010, Regular variation without limits, JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS, Vol: 370, Pages: 322-338, ISSN: 0022-247X
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- Citations: 12
Bingham NH, Fry JM, 2010, Regression, Publisher: Springer, ISBN: 9781848829688
This self-contained, mathematical introduction to the development and theory of linear models is aimed primarily at undergraduate students of mathematics. It includes numerous worked examples and exercises with full solutions.
Bingham NH, Ostaszewski AJ, 2010, Topological regular variation: I. Slow variation, TOPOLOGY AND ITS APPLICATIONS, Vol: 157, Pages: 1999-2013, ISSN: 0166-8641
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- Citations: 11
Bingham NH, Ostaszewski AJ, 2010, Topological regular variation: II. The fundamental theorems, TOPOLOGY AND ITS APPLICATIONS, Vol: 157, Pages: 2014-2023, ISSN: 0166-8641
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- Citations: 6
Bingham NH, Ostaszewski AJ, 2010, Topological regular variation: III. Regular variation, TOPOLOGY AND ITS APPLICATIONS, Vol: 157, Pages: 2024-2037, ISSN: 0166-8641
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- Citations: 7
Bingham NH, Fry JM, Kiesel R, 2010, Multivariate elliptic processes, STATISTICA NEERLANDICA, Vol: 64, Pages: 352-366, ISSN: 0039-0402
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- Citations: 5
Bingham N, 2010, Kingman, category and combinatorics, Probability and Mathematical Genetics, Editors: Bingham, Goldie, Publisher: Cambridge University Press, Pages: 135-168, ISBN: 9780521145770
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.
Bingham NH, Goldie CM, 2010, Probability and Mathematical Genetics, Publisher: Cambridge University Press, ISBN: 9780521145770
Leading authorities cover a wide range of currently topical problems in probability and mathematical genetics.
Bingham N, 2010, FINITE ADDITIVITY VERSUS COUNTABLE ADDITIVITY, Electronic J. History of Probability and Statistics, Vol: 6
The historical background of first countable additivity, and then finite additivity, in probability theory is reviewed. We discuss the work of the most prominent advocate of finite additivity, de Finetti, and also the work of Savage. Both were most noted for their contributions to statistics; our focus here is more from the point of view of probability theory. The problem of measure is then discussed - the possibility of extending a measure to all subsets of a probability space. The theory of gambling is discussed next, as a test case for the relative merits of finite and countable additivity. We then turn to coherence of decision making, where a third candidate presents itself - non-additivity. We next consider the impact of different choices of set-theoretic axioms.
Bingham NH, Hayman WK, 2010, Sir Harry Raymond Pitt, FRS, 1914-2005 OBITUARY, BULLETIN OF THE LONDON MATHEMATICAL SOCIETY, Vol: 42, Pages: 553-567, ISSN: 0024-6093
Bingham NH, Ostaszewski AJ, 2010, AUTOMATIC CONTINUITY VIA ANALYTIC THINNING, PROCEEDINGS OF THE AMERICAN MATHEMATICAL SOCIETY, Vol: 138, Pages: 907-919, ISSN: 0002-9939
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- Citations: 5
Bingham NH, Ostaszewski AJ, 2010, BEYOND LEBESGUE AND BAIRE II: BITOPOLOGY AND MEASURE-CATEGORY DUALITY, COLLOQUIUM MATHEMATICUM, Vol: 121, Pages: 225-238, ISSN: 0010-1354
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- Citations: 14
Bingham NH, Ostaszewski AJ, 2010, Normed versus topological groups: Dichotomy and duality, DISSERTATIONES MATHEMATICAE, Pages: 5-+, ISSN: 0012-3862
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- Citations: 29
Bingham NH, Ostaszewski AJ, 2009, Infinite combinatorics and the foundations of regular variation, JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS, Vol: 360, Pages: 518-529, ISSN: 0022-247X
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- Citations: 11
Bingham NH, Ostaszewski AJ, 2009, Automatic continuity: subadditivity, convexity, uniformity, AEQUATIONES MATHEMATICAE, Vol: 78, Pages: 257-270, ISSN: 0001-9054
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- Citations: 9
Bingham NH, Ostaszewski AJ, 2009, The Index Theorem of topological regular variation and its applications, JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS, Vol: 358, Pages: 238-248, ISSN: 0022-247X
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- Citations: 11
Bingham NH, Ostaszewski AJ, 2009, BEYOND LEBESGUE AND BAIRE: GENERIC REGULAR VARIATION, COLLOQUIUM MATHEMATICUM, Vol: 116, Pages: 119-138, ISSN: 0010-1354
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- Citations: 13
Bingham NH, Ostaszewski AJ, 2009, VERY SLOWLY VARYING FUNCTIONS. II, COLLOQUIUM MATHEMATICUM, Vol: 116, Pages: 105-117, ISSN: 0010-1354
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- Citations: 4
Bingham NH, Ostaszewski AJ, 2008, Generic subadditive functions, PROCEEDINGS OF THE AMERICAN MATHEMATICAL SOCIETY, Vol: 136, Pages: 4257-4266, ISSN: 0002-9939
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- Citations: 17
Bingham NH, 2008, Tauberian theorems and large deviations, STOCHASTICS-AN INTERNATIONAL JOURNAL OF PROBABILITY AND STOCHASTIC PROCESSES, Vol: 80, Pages: 143-149, ISSN: 1744-2508
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- Citations: 5
Bingham NH, Kiesel R, 2004, Risk-Neutral Valuation, Publisher: Springer, ISBN: 9781852334581
Since its introduction in the early 1980s, the risk-neutral valuation principle has proved to be an important tool in the pricing and hedging of financial derivatives.Following the success of the first edition of 'Risk-Neutral Valuation', ...
Accardi L, Brody DC, Belavkin VP, et al., 2003, Discussion on the paper by Barndorff-Nielsen, Gill and Jupp, JOURNAL OF THE ROYAL STATISTICAL SOCIETY SERIES B-STATISTICAL METHODOLOGY, Vol: 65, Pages: 805-816, ISSN: 1369-7412
Bingham N, 2003, A semi-parametric approach to risk management, Quantitative Finance, Vol: 3, Pages: 426-441
Bingham N, Kiesel R, 2002, Semi-Parametric Modelling in finance: theoretical foundations, Quantative Finance
Hodges SD, Roberts G, Papaspiliopoulos O, et al., 2001, Non-Gaussian Ornstein-Uhlenbeck-based models and some of their uses in financial economics -: Discussion, JOURNAL OF THE ROYAL STATISTICAL SOCIETY SERIES B-STATISTICAL METHODOLOGY, Vol: 63, Pages: 208-241, ISSN: 1369-7412
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- Citations: 4
Bingham NH, Kiesel R, 2001, Hyperbolic and semi-parametric models in finance, International Conference on Disordered and Complex Systems, Publisher: AMER INST PHYSICS, Pages: 275-280, ISSN: 0094-243X
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- Citations: 3
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