Nicholas Bingham
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British mathematician
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Nicholas Binghammathematics Degrees
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Mathematics
Why Is Nicholas Bingham Influential?
(Suggest an Edit or Addition)According to Wikipedia, Nicholas Hugh Bingham is a British mathematician working in the field of probability theory, stochastic analysis and analysis more generally. Education and career Bingham is currently a Senior Research Investigator at Imperial College London, and is a Visiting Professor at both the London School of Economics and the University of Liverpool.
Nicholas Bingham's Published Works
Number of citations in a given year to any of this author's works
Total number of citations to an author for the works they published in a given year. This highlights publication of the most important work(s) by the author
Published Works
- INDEPENDENT AND STATIONARY SEQUENCES OF RANDOM VARIABLES (1973) (328)
- Generalised Linear Models (2010) (314)
- Probability Theory: An Analytic View (2002) (304)
- Risk-Neutral Valuation: Pricing and Hedging of Financial Derivatives (2001) (297)
- Regular variation in more general settings (1987) (296)
- Fluctuation theory in continuous time (1975) (214)
- EMPIRICAL PROCESSES WITH APPLICATIONS TO STATISTICS (Wiley Series in Probability and Mathematical Statistics) (1987) (179)
- Risk-Neutral Valuation (1998) (154)
- Asymptotic properties of supercritical branching processes I: The Galton-Watson process (1974) (154)
- Regression: Linear Models in Statistics (2010) (146)
- Semi-parametric modelling in finance: theoretical foundations (2002) (128)
- Limit theorems for occupation times of Markov processes (1971) (128)
- Maxima of sums of random variables and suprema of stable processes (1973) (119)
- Continuous branching processes and spectral positivity (1976) (101)
- Regular Variation by N. H. Bingham (1987) (97)
- Seminar on Stochastic Processes (1993) (93)
- Variants on the Law of the Iterated Logarithm (1986) (89)
- Large deviations in the supercritical branching process (1993) (80)
- On the limit of a supercritical branching process (1988) (67)
- Asymptotic properties of super-critical branching processes II: Crump-Mode and Jirina processes (1975) (64)
- Szegö's theorem and its probabilistic descendants (2011) (58)
- Non-parametric Estimation for the M/G/∞ Queue (1999) (55)
- A semi-parametric approach to risk management (2003) (50)
- Extensions of Regular Variation, I: Uniformity and Quatifiers (1982) (47)
- Normed versus topological groups: dichotomy and duality (2010) (47)
- Random walk on spheres (1972) (42)
- Gaussian processes on compact symmetric spaces (1976) (42)
- Modelling asset returns with hyperbolic distributions (2001) (41)
- THE DEVELOPMENT OF THE FOUNDATIONS OF MATHEMATICAL ANALYSIS FROM EULER TO RIEMANN (1972) (40)
- Random walk and fluctuation theory (2001) (38)
- Near-constancy phenomena in branching processes (1991) (38)
- TAUBERIAN THEOREMS AND THE CENTRAL LIMIT THEOREM (1981) (35)
- Fluctuation Theory for the Ehrenfest urn (1991) (35)
- PROBABILITY (Graduate Texts in Mathematics Vol. 95) (1985) (35)
- SUMMABILITY METHODS AND ALMOST-SURE CONVERGENCE (1991) (35)
- Riesz and Valiron means and fractional moments (1986) (34)
- Positive definite functions on spheres (1973) (34)
- Andrei Nikolaevich Kolmogorov (1903–1987) (1990) (34)
- ON ONE-SIDED TAUBERIAN CONDITIONS (1983) (33)
- Normed groups: dichotomy and duality (2008) (33)
- Dichotomy and infinite combinatorics: the theorems of Steinhaus and Ostrowski (2010) (33)
- Generic subadditive functions (2008) (32)
- Limit theorems in fluctuation theory (1973) (32)
- On higher-dimensional analogues of the arc-sine law (1988) (31)
- Factorization Theory and Domains of Attraction for Generalized Convolution Algebras (1971) (31)
- Limit theorems for regenerative phenomena, recurrent events and renewal theory (1972) (31)
- Riesz means and self-neglecting functions (1988) (29)
- Interest-Rate Theory (2004) (29)
- Beyond Lebesgue and Baire II: bitopology and measure-category duality (2010) (29)
- Beurling slow and regular variation (2014) (29)
- A Tauberian Theorem for Integral Transforms of Hankel Type (1972) (28)
- Beyond Lebesgue and Baire: generic regular variation (2009) (28)
- DUALITY FOR REGULARLY VARYING FUNCTIONS (1975) (26)
- Infinite combinatorics and the foundations of regular variation (2009) (26)
- LARGE DEVIATIONS TECHNIQUES AND APPLICATIONS (1994) (26)
- Extensions of Regular Variation, II: Rerpresentations and Indices (1982) (25)
- Multivariate prediction and matrix Szego theory (2012) (24)
- On the Hausdorff distance between a convex set and an interior random convex hull (1998) (24)
- Kingman, category and combinatorics (2010) (24)
- Additivity, subadditivity and linearity: automatic continuity and quantifier weakening (2014) (23)
- Topological regular variation: I. Slow variation (2010) (22)
- On valiron and circle convergence (1984) (22)
- Estimating Diffusion Coefficients From Count Data: Einstein-Smoluchowski Theory Revisited (1997) (22)
- Tauberian Theorems for Summability Methods of Random‐Walk Type (1984) (22)
- Beyond Lebesgue and Baire IV: Density topologies and a converse Steinhaus-Weil Theorem (2016) (22)
- Beurling moving averages and approximate homomorphisms (2014) (21)
- Verblunsky coefficients and Nehari sequences (2013) (21)
- Summability methods and almost sure convergence (1985) (20)
- Regular variation without limits (2010) (20)
- On Borel and Euler Summability (1984) (20)
- 16. Probability, Statistics and Optimization: A Tribute to Peter Whittle (1995) (19)
- FINITE ADDITIVITY VERSUS COUNTABLE ADDITIVITY (2010) (19)
- Category-measure duality: convexity, midpoint convexity and Berz sublinearity (2016) (19)
- Studies in the history of probability and statistics XLVI. Measure into probability: from Lebesgue to Kolmogorov (2000) (19)
- Extensions of the strong law (1986) (18)
- Regular variation and probability: The early years (2007) (18)
- Infinite combinatorics in function spaces: category methods (2009) (18)
- Tauberian Theorems for Jacobi Series (1978) (18)
- Nonparametric inference from M/G/l busy periods (1999) (18)
- Cauchy’s functional equation and extensions: Goldie’s equation and inequality, the Gołąb–Schinzel equation and Beurling’s equation (2014) (18)
- Asymptotic analysis of random walks: Heavy‐tailed distributions (Encyclopedia of Mathematics and Its Applications 118) (2010) (17)
- REGULARLY VARYING PROBABILITY DENSITIES (2006) (17)
- The Index Theorem of topological regular variation and its applications (2009) (17)
- Automatic continuity: subadditivity, convexity, uniformity (2009) (16)
- Discussion on "On quantum statistical inference" by Barndorff-Nielsen, Gill and Jupp (2003) (15)
- On a theorem of Kłosowska about generalised convolutions (1984) (15)
- Topological regular variation: II. The fundamental theorems (2010) (14)
- Topological regular variation: III: Regular variation. (2010) (14)
- The Steinhaus theorem and regular variation: de Bruijn and after (2013) (14)
- An explicit representation of Verblunsky coefficients (2011) (14)
- Probabilistic and deterministic averaging (1982) (13)
- Modelling and Prediction of Financial Time Series (2014) (13)
- Homotopy and the Kestelman–Borwein–Ditor Theorem (2011) (13)
- Tauberian theorems for Jakimovski and Karamata-Stirling methods (1988) (13)
- Tauberian and Mercerian theorems for systems of kernels (2000) (13)
- The Steinhaus-Weil property: its converse, subcontinuity and Solecki amenability (2016) (12)
- Automatic continuity via analytic thinning (2010) (12)
- Summability Methods and Dependent Strong Laws (1986) (12)
- Tauberian theorems and large deviations (2007) (12)
- The Steinhaus-Weil property: its converse, Solecki amenability and subcontinuity (2016) (12)
- General regular variation, Popa groups and quantifier weakening (2019) (11)
- The Drasin-Shea-Jordan theorem for Fourier and Hankel transforms (1997) (11)
- Gaussian random fields on the sphere and sphere cross line (2018) (11)
- Logarithmic moving averages (2014) (11)
- Summability methods and negatively associated random variables (2004) (11)
- In…nite Combinatorics and the theorems of Steinhaus and Ostrowski (2008) (11)
- Integral Representations for Ultraspherical Polynomials (1972) (10)
- An introduction to financial option valuation: Mathematics, stochastics and computation, by Desmond J. Higham. Pp. 273. £50.00. 2004. ISBN 0 521 83884 3 (hbk); £24.99. ISBN 0 521 54757 1 (pbk) (Cambridge University Press). (2005) (10)
- Set theory and the analyst (2018) (10)
- A conversation with David Kendall (1996) (10)
- Multivariate elliptic processes (2010) (10)
- Ratio Mercerian Theorems with Applications to Hankel and Fourier Transforms (1997) (10)
- Optimal Stopping and Dynamic Programming (2008) (10)
- Beyond the theorems of Steinhaus and Ostrowski: combinatorial versions (2007) (9)
- Studies in the history of probability and statistics XLV. The late Philip Holgate's paper ‘Independent functions: Probability and analysis in Poland between the Wars’ (1997) (9)
- Doob: a half-century on (2005) (9)
- Brownian Manifolds, Negative Type and Geo-temporal Covariances (2016) (9)
- Tauberian theorems in probability theory (1989) (9)
- An Introduction to the Theory of Coverage Processes (1990) (9)
- Aspects of prediction (2014) (8)
- On limit theorems for occupation times (1983) (8)
- New automatic properties: subadditivity, convexity, uniformity. (2007) (8)
- Foundations of regular variation (2006) (8)
- Regular variation: Bounded variation (1987) (7)
- Sequential Regular Variation: Extensions of Kendall’s Theorem (2019) (7)
- ON SCALING AND REGULAR VARIATION (2015) (7)
- Bitopology and measure-category duality (2008) (7)
- Variants on the Berz sublinearity theorem (2017) (7)
- Extension of the Drasin-Shea-Jordan theorem (1997) (7)
- VERY SLOWLY VARYING FUNCTIONS { II BY (2007) (7)
- Riesz Means and Beurling Moving Averages (2015) (6)
- In…nite Combinatorics in Function Spaces (2008) (6)
- Mercerian and Tauberian theorems for differences (1980) (6)
- Abelian, Tauberian and Mercerian theorems for arithmetic sums (2000) (6)
- An Abel-Tauber theorem for Hankel transforms (1997) (6)
- In nite combinatorics and the foundations of regular variation by (2009) (5)
- Hyperbolic and semi-parametric models in finance (2001) (5)
- Uniformity and self-neglecting functions (2013) (5)
- The work of Lajos Takács on probability theory (1994) (5)
- The Work of A. N. Komogorov on Strong Limit Theorems (1990) (5)
- Harmonic morphisms and the resurrection of Markov processes (1991) (5)
- Uniformity and self-neglecting functions: II. Beurling Regular Variation and the class {\Gamma} (2013) (5)
- Genericity and the Kestelman-Borwein-Ditor Theorem (2007) (5)
- The Converse Ostrowski Theorem : aspects of compactness (2007) (5)
- Józef Marcinkiewicz: analysis and probability (2011) (4)
- Decomposition of Dirichlet processes on Hilbert space (1991) (4)
- The sample mid-range and interquartiles (1996) (4)
- Duality and the Kestelman-Borwein-Ditor Theorem (2007) (4)
- Probability and Statistics: Some Thoughts at the Turn of the Millennium (2001) (3)
- The Worldwide Influence of the Work of B. V. Gnedenko (2014) (3)
- Adding additional covariates and the Analysis of Covariance (2010) (3)
- Cauchy’s functional equation and extensions: Goldie’s equation and inequality, the Gołąb–Schinzel equation and Beurling’s equation (2015) (3)
- Voronoi means, moving averages, and power series (2016) (3)
- Jakimovski Methods and Almost-Sure Convergence (2007) (3)
- Maxima of partial sums of random variables and suprema of stable processes (1973) (3)
- Prediction theory for stationary functional time series (2020) (3)
- Extremes and Regular Variation (2020) (3)
- Matricial Baxter's theorem with a Nehari sequence (2018) (3)
- The Steinhaus-Weil property: I. Subcontinuity and amenability (2020) (3)
- Coefficient stripping in the matricial Nehari problem (2017) (3)
- The index theorem of regular variation and its applications (2008) (3)
- Stochastic analysis : proceedings of the Durham Symposium on Stochastic Analysis, 1990 (1991) (2)
- Analytic automaticity: the theorems of Jones and Kominek (2007) (2)
- The life, work, and legacy of P. L. Chebyshev (2021) (2)
- Statistical Tools for Finance and Insurance by P. Cizek, W. Härdle and R. Weron (eds) (2006) (2)
- Probability, Statistics and Planet Earth, I: Geotemporal covariances (2017) (2)
- Multivariate general regular variation: Popa groups on vector spaces (2019) (2)
- BROWNIAN MOTION AND STOCHASTIC FLOW SYSTEMS (A Volume in the Wiley Series in Probability and Mathematical Statistics) (1986) (2)
- Probability unfolding, 1965‒2015 (2016) (2)
- The sample mid-range and symmetrized extremal laws (1995) (2)
- Hardy, Littlewood and probability (2015) (2)
- The Converse Ostrowski Theorem (2007) (2)
- Multivariate Popa groups and the Goldie Equation (2019) (2)
- On a conjecture of Rademacher, Dickson, and Plotkin (1967) (2)
- Financial Modelling With Jump Processes (2006) (2)
- Sir Harry Raymond Pitt. 3 June 1914 — 8 October 2005 (2008) (2)
- Beyond Haar and Cameron-Martin: The Steinhaus support (2018) (1)
- Limits on random measures and stochastic difference equations related to mixing array of random variables (1991) (1)
- Probability and Mathematical Genetics: Contents (2010) (1)
- On Subadditive Functions Bounded Above on a “Large” Set (2020) (1)
- MULTI-TYPE BRANCHING PROCESSES. THEORY & APPLICATIONS (1972) (1)
- 15. Diffusions, Markov Processes and Martingales: Vol. 1, Foundations (1996) (1)
- Integrability Theorems for Convolutions (1978) (1)
- Sir Harry Raymond Pitt, FRS, 1914–2005 (2010) (1)
- Linear algebra and multivariate analysis in statistics: development and interconnections in the twentieth century (2022) (1)
- The Drasin$B!>(BShea$B!>(BJordan theorem for Hankel transforms of arbitrarily large order (1996) (1)
- [How Probable Is a Large Resultant in a Random Walk?]: Reply (1980) (1)
- Beyond Haar and Cameron-Martin: topological theory (2018) (1)
- Philip Holgate (1934–1993) (2000) (1)
- Dimension walks on Sd×R (2019) (1)
- Further Multilinear Regression (2010) (1)
- Random walks and number-theoretic densities (1980) (1)
- Probability, Statistics and Planet Earth, II:The Bochner-Godement theorem for symmetric spaces (2017) (1)
- Gaussian random fields: with and without covariances (2021) (1)
- PR ] 1 6 N ov 2 02 1 PREDICTION THEORY IN CONTINUOUS TIME (2021) (0)
- Homomorphisms from Functional Equations: The Goldie Equation, II (2019) (0)
- Mathematical Finance in Continuous Time (2004) (0)
- On subadditive functions upper bounded on a 'large' set (2019) (0)
- Gred Edzard Harry Reuter (1995) (0)
- Category-measure duality: convexity, midpoint convexity and Berz sublinearity (2017) (0)
- Preface to the paperback edition (1987) (0)
- On Subadditive Functions Bounded Above on a “Large” Set (2020) (0)
- Statistical and Probabilistic Methods in Actuarial Science by Philip J. Boland (2007) (0)
- Integral Representations of Ultraspherical Polynomials II (2021) (0)
- W. R. Bloom and H. Heyer Harmonic analysis of probability measures on hypergroups (de Gruyter Studies in Mathematics Vol. 20, de Gruyter, Berlin, New York 1995) vi + 601pp., 3 11 012105 0, about £140. (1996) (0)
- Variants on the Berz sublinearity theorem (2018) (0)
- Stochastic Processes in Continuous Time (2004) (0)
- The Go{\l}\k{a}b-Schinzel and Goldie functional equations in Banach algebras (2021) (0)
- Mathematical Finance in Discrete Time (2004) (0)
- Economic Capital and Financial Risk Management for Financial Services Firms and Conglomerates by B. Porteous and P. Tapadar (2007) (0)
- Regular variation: Further Karamata Theory (1987) (0)
- Probability and Measure (1980) (0)
- Set theory and the analyst (2018) (0)
- Jordan's theorem for fourier and hankel transforms (1995) (0)
- Optimal information feed (2010) (0)
- The Work of Ragnar Norberg (2019) (0)
- Back Matter (2013) (0)
- Probability and Mathematical Genetics: Bibliography of J. F. C. Kingman (2010) (0)
- Projections and Conditional Expectations (1998) (0)
- Back Matter (2014) (0)
- Supercritical continuous-state branching processes (1976) (0)
- Calculating the de Bruijn conjugate (1987) (0)
- Model Checking and Transformation of Data (2010) (0)
- Applications to complex analysis (1987) (0)
- VERY SLOWLY VARYING FUNCTIONS – (0)
- Back Matter (2015) (0)
- Obituary: G. E. H. Reuter (1992) (0)
- TECHNIQUES OF ASYMPTOTIC ANALYSIS (1972) (0)
- The Analysis of Variance (ANOVA) (2010) (0)
- C A ] 1 3 O ct 2 01 9 Multivariate general regular variation : Popa groups on vector spaces by (0)
- Insurance risk and ruin , by David C. M. Dickson. Pp. 229. £35.00 (hbk). 2005. ISBN 0 521 84640 (Cambridge University Press). (2007) (0)
- Asymptotic properties of the supercritical Galton-Watson process (1974) (0)
- Book Reviews (2006) (0)
- Book Reviews (1955) (0)
- The Analysis of Variance (anova) 2.1 the Chi-square Distribution (0)
- Measures, Integrals and Martingales by R. L. Schilling (2006) (0)
- Functional Analysis for Probability and Stochastic Processes: An Introduction. Adam Bobrowski (2006) (0)
- The Separating Hyperplane Theorem (1998) (0)
- Stochastic Processes in Discrete Time (2004) (0)
- Dimension walks on $\mathbb{S}^d \times \mathbb{R}$ (2018) (0)
- Applications to Analytic Number Theory (1987) (0)
- Prediction theory in continuous time (2021) (0)
- Regular variation: Abelian and Tauberian Theorems (1987) (0)
- Aequationes Mathematicae Variants on the Berz sublinearity theorem (2018) (0)
- Dimension walks on S d × (2018) (0)
- Probability and Mathematical Genetics: Preface (2010) (0)
- Aspects of Gaussian Processes on Spheres (2018) (0)
- Applications to probability theory (1987) (0)
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Nicholas Bingham is affiliated with the following schools: