Most cited papers in Statistical and numerical algorithms
What are the most cited papers in Statistical and numerical algorithms?
The most cited paper in Statistical and numerical algorithms is "A theory for multiresolution signal decomposition: the wavelet representation" (Stéphane Mallat, 1989), with 21,434 citations. Next come "Information Theory and an Extension of the Maximum Likelihood Principle" (18,124) and "An Analysis of Transformations" (15,274).
Showing 50 of 95 papers. Every paper with more than 786 citations is listed.
| # | Paper | ||
|---|---|---|---|
| 1 | A theory for multiresolution signal decomposition: the wavelet representation Stéphane Mallat · IEEE Transactions on Pattern Analysis and Machine Intelligence | Jul 1989 | 21,434 |
| 2 | Information Theory and an Extension of the Maximum Likelihood Principle Hirotogu Akaike · Springer series in statistics | 1998 | 18,124 |
| 3 | An Analysis of Transformations George E. P. Box, David Roxbee Cox · Journal of the Royal Statistical Society Series B (Statistical Methodology) | Jul 1964 | 15,274 |
| 4 | A Caution Regarding Rules of Thumb for Variance Inflation Factors Robert M. O’Brien · Quality & Quantity | 12 Mar 2007 | 11,097 |
| 5 | Ridge Regression: Biased Estimation for Nonorthogonal Problems Arthur E. Hoerl, Robert W. Kennard · Technometrics | Feb 1970 | 9,491 |
| 6 | Variable Selection via Nonconcave Penalized Likelihood and its Oracle Properties Jianqing Fan, Runze Li · Journal of the American Statistical Association | Dec 2001 | 9,322 |
| 7 | Partial least-squares regression: a tutorial Paul L. M. Geladi, Bruce R. Kowalski · Analytica Chimica Acta | 1986 | 7,034 |
| 8 | Positive matrix factorization: A non‐negative factor model with optimal utilization of error estimates of data values Pentti Paatero, Unto Tapper · Environmetrics | Jun 1994 | 6,452 |
| 9 | Global sensitivity indices for nonlinear mathematical models and their Monte Carlo estimates Ilya M. Sobol · Mathematics and Computers in Simulation | Feb 2001 | 6,427 |
| 10 | Transformed Up-Down Methods in Psychoacoustics Harry N. Levitt · The Journal of the Acoustical Society of America | Feb 1971 | 5,573 |
| 11 | Locally Weighted Regression: An Approach to Regression Analysis by Local Fitting William S. Cleveland, Susan J. Devlin · Journal of the American Statistical Association | Sep 1988 | 5,569 |
| 12 | Bayesian Interpolation David Mackay · Neural Computation | May 1992 | 4,436 |
| 13 | Singularity detection and processing with wavelets Stéphane Mallat, Wen-Liang Hwang · IEEE Transactions on Information Theory | Mar 1992 | 3,887 |
| 14 | Flexible smoothing with B-splines and penalties Paul H.C. Eilers, Brian D. Marx · Statistical Science | May 1996 | 3,746 |
| 15 | Rank Transformations as a Bridge between Parametric and Nonparametric Statistics William Jay Conover, Ronald L. Iman · The American Statistician | Aug 1981 | 3,619 |
| 16 | Tests for Specification Errors in Classical Linear Least-Squares Regression Analysis James B. Ramsey · Journal of the Royal Statistical Society Series B (Statistical Methodology) | Jul 1969 | 3,375 |
| 17 | The Use of the L-Curve in the Regularization of Discrete Ill-Posed Problems Per Christian Hansen, Dianne Prost O’Leary · SIAM Journal on Scientific Computing | Nov 1993 | 3,155 |
| 18 | Parameter estimation in astronomy through application of the likelihood ratio W. Cash · The Astrophysical Journal | Mar 1979 | 3,142 |
| 19 | The Determination of the Order of an Autoregression E. J. Hannan, Barry G. Quinn · Journal of the Royal Statistical Society Series B (Statistical Methodology) | 1979 | 3,050 |
| 20 | An Explicit Link between Gaussian Fields and Gaussian Markov Random Fields: The Stochastic Partial Differential Equation Approach Finn Lindgren, Håvard Rue, Johan Lindström · Journal of the Royal Statistical Society Series B (Statistical Methodology) | 4 Aug 2011 | 2,811 |
| 21 | Ridge Regression: Applications to Nonorthogonal Problems Arthur E. Hoerl, Robert W. Kennard · Technometrics | Feb 1970 | 2,666 |
| 22 | A transformation for ordering multispectral data in terms of image quality with implications for noise removal A.A. Green, Mark Berman, PAUL V. SWITZER et al. · IEEE Transactions on Geoscience and Remote Sensing | 1988 | 2,625 |
| 23 | Thin Plate Regression Splines Simon N. Wood · Journal of the Royal Statistical Society Series B (Statistical Methodology) | 28 Jan 2003 | 2,559 |
| 24 | Analysis of fMRI Time-Series Revisited Karl John Friston, Andrew P. Holmes, J.-B. Poline et al. · NeuroImage | Mar 1995 | 2,546 |
| 25 | The psychometric function: I. Fitting, sampling, and goodness of fit Felix A. Wichmann, N. Jeremy Hill · Perception & Psychophysics | Nov 2001 | 2,457 |
| 26 | Bootstrap confidence intervals Thomas J. DiCiccio, Bradley Efron · Statistical Science | Sep 1996 | 2,354 |
| 27 | Detection of Influential Observation in Linear Regression R. Dennis Cook · Technometrics | Feb 2000 | 2,309 |
| 28 | Generalized Inverse of Matrices and Its Applications Kali S. Banerjee · Technometrics | Feb 1973 | 2,295 |
| 29 | Robust regression using iteratively reweighted least-squares Paul W. Holland, Roy E. Welsch · Communication in Statistics- Theory and Methods | 1977 | 2,148 |
| 30 | Least squares formulation of robust non-negative factor analysis Pentti Paatero · Chemometrics and Intelligent Laboratory Systems | May 1997 | 2,130 |
| 31 | The Measurement of Power Spectra R. B. Blackman, John W. Tukey, Theodor Teichmann · Physics Today | Feb 1960 | 1,853 |
| 32 | The principle of minimized iterations in the solution of the matrix eigenvalue problem Walter E. Arnoldi · Quarterly of Applied Mathematics | Apr 1951 | 1,835 |
| 33 | Rotation of principal components Michael B. Richman · Journal of Climatology | 1986 | 1,796 |
| 34 | Models for Exceedances Over High Thresholds Anthony C. Davison, Richard L. Smith · Journal of the Royal Statistical Society Series B (Statistical Methodology) | Jul 1990 | 1,753 |
| 35 | Splines: a perfect fit for signal and image processing Michael A. Unser · IEEE Signal Processing Magazine | 1999 | 1,639 |
| 36 | The Effective Number of Spatial Degrees of Freedom of a Time-Varying Field Christopher S. Bretherton, Martin Widmann, Valentin Dymnikov et al. · Journal of Climate | Jul 1999 | 1,613 |
| 37 | Estimating Optimal Transformations for Multiple Regression and Correlation Leo Breiman, Jerome H. Friedman · Journal of the American Statistical Association | Sep 1985 | 1,605 |
| 38 | A strategy for operational implementation of 4D‐Var, using an incremental approach Philippe Courtier, Jean‐Noël Thépaut, Anthony Hollingsworth · Quarterly Journal of the Royal Meteorological Society | Jul 1994 | 1,542 |
| 39 | Using Heteroscedasticity Consistent Standard Errors in the Linear Regression Model J. Scott Long, Laurie H. Ervin · The American Statistician | Aug 2000 | 1,533 |
| 40 | Singular-spectrum analysis: A toolkit for short, noisy chaotic signals Robert Vautard, Pascal Yiou, Michael Ghil · Physica D Nonlinear Phenomena | Sep 1992 | 1,484 |
| 41 | Exponential smoothing: The state of the art Everette S. Gardner · Journal of Forecasting | 1985 | 1,471 |
| 42 | Cross-Validation of Regression Models Richard R. Picard, R. Dennis Cook · Journal of the American Statistical Association | Sep 1984 | 1,458 |
| 43 | Pseudo Maximum Likelihood Methods: Theory Christian Gouriéroux, Alain Monfort, Alain Trognon · Econometrica | May 1984 | 1,436 |
| 44 | Unmasking Multivariate Outliers and Leverage Points Peter J. Rousseeuw, Bert C. van Zomeren · Journal of the American Statistical Association | Sep 1990 | 1,421 |
| 45 | Uniqueness in the inversion of inaccurate gross Earth data George Backus, Freeman Gilbert · Philosophical Transactions of the Royal Society of London Series A Mathematical and Physical Sciences | 5 Mar 1970 | 1,354 |
| 46 | Unified equations for the slope, intercept, and standard errors of the best straight line Derek York, Norman M. Evensen, Margarita López‐Martínez et al. · American Journal of Physics | 12 Feb 2004 | 1,279 |
| 47 | Processes of normal inverse Gaussian type Ole Eiler Barndorff-Nielsen · Finance and Stochastics | Nov 1997 | 1,264 |
| 48 | Singular spectrum analysis in nonlinear dynamics, with applications to paleoclimatic time series Robert Vautard, Michael Ghil · Physica D Nonlinear Phenomena | May 1989 | 1,259 |
| 49 | On characterizing the variability properties of X-ray light curves from active galaxies S. Vaughan, Rick Edelson, R. S. Warwick et al. · Monthly Notices of the Royal Astronomical Society | 2 Nov 2003 | 1,240 |
| 50 | Review on solving the inverse problem in EEG source analysis Roberta Grech, Tracey A. Cassar, Joseph Muscat et al. · Journal of NeuroEngineering and Rehabilitation | 7 Nov 2008 | 1,220 |
Citations are OpenAlex's own counts, from its 2026-09-23 snapshot, so the ranking can differ from Google Scholar or Web of Science. A paper is listed for a field when OpenAlex files it under one of the field's topics; retracted papers and papers whose citation count cannot be traced to citing works are left out, and a preprint and the article it became are shown once. Release dates are OpenAlex's: where a source gave only a month or a year, that is what is shown. How the lists are chosen.