Anatoly Zhigljavsky

Anatoly Zhigljavsky's AcademicInfluence.com Rankings

Anatoly Zhigljavsky

Mathematics

#5710

World Rank

#8021

Historical Rank

Statistics

#602

World Rank

#683

Historical Rank

mathematics Degrees

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Mathematics

Why Is Anatoly Zhigljavsky Influential?

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According to Wikipedia, Anatoly Aleksandrovich Zhigljavsky is a professor of Statistics in the School of Mathematics at Cardiff University. He has authored 12 monographs and over 150 papers in refereed journals. His research interests include stochastic and high-dimensional global optimisation, time series analysis, multivariate data analysis, statistical modeling in market research, probabilistic methods in search and number theory.

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Anatoly Zhigljavsky'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

Singular Spectrum Analysis for Time Series (2013) (533)
Analysis of Time Series Structure - SSA and Related Techniques (2001) (378)
Forecasting European industrial production with singular spectrum analysis (2009) (265)
Analysis of time series structure (2013) (255)
Stochastic Global Optimization (2008) (252)
An Algorithm Based on Singular Spectrum Analysis for Change-Point Detection (2003) (225)
Singular spectrum analysis: methodology and application to economics data (2009) (131)
Forecasting UK Industrial Production with Multivariate Singular Spectrum Analysis (2013) (114)
Predicting daily exchange rate with singular spectrum analysis (2010) (96)
Predicting inflation dynamics with singular spectrum analysis (2013) (78)
Multivariate singular spectrum analysis for forecasting revisions to real-time data (2011) (69)
Computing sums of conditionally convergent and divergent series using the concept of grossone (2012) (64)
Singular Spectrum Analysis with R (2018) (64)
Improving updating rules in multiplicative algorithms for computing D-optimal designs (2008) (63)
A New Approach to Optimal Design for Linear Models With Correlated Observations (2010) (56)
Singular spectrum analysis for image processing (2010) (51)
Stochastic Global Optimization: A Review on the Occasion of 25 Years of Informatica (2016) (46)
Singular Spectrum Analysis for time series: Introduction to this special issue (2010) (45)
A Comprehensive Causality Test Based on the Singular Spectrum Analysis (2011) (41)
Optimization challenges in the structured low rank approximation problem (2013) (41)
Optimum design: 2000 (2001) (40)
Self-regenerative Markov chain Monte Carlo with adaptation (2003) (37)
Statistical Inference for the Bounds of Random Variables (1991) (35)
Singular spectrum analysis based on the perturbation theory (2011) (32)
Asymptotic Distribution of the Distance Function to the Farey Points (1997) (26)
Optimal designs in regression with correlated errors. (2015) (26)
Analysis of Structured Low Rank Approximation as an Optimization Problem (2011) (23)
Advances in Stochastic and Deterministic Global Optimization (2016) (22)
Bayesian Quadrature, Energy Minimization, and Space-Filling Design (2020) (21)
Stochastic algorithms for solving structured low-rank matrix approximation problems (2015) (21)
Application of the singular-spectrum analysis to change-point detection in time series (2006) (21)
Approximating the negative moments of the Poisson distribution (2004) (20)
Performance of global random search algorithms for large dimensions (2018) (20)
Efficient Estimation of Parameters of the Negative Binomial Distribution (2006) (20)
Probabilistic existence theorems in group testing (2003) (19)
Weighted norms in subspace‐based methods for time series analysis (2016) (17)
On the distribution of Farey fractions and hyperbolic lattice points (2001) (17)
Optimal Design and Related Areas in Optimization and Statistics (2011) (16)
Algorithmic construction of optimal designs on compact sets for concave and differentiable criteria (2014) (16)
Simplicial variances, potentials and Mahalanobis distances (2018) (15)
COMPARISON OF COSTS FOR MULTI-STAGE GROUP TESTING METHODS IN THE PHARMACEUTICAL INDUSTRY (2001) (15)
Entropies of the partitions of the unit interval generated by the Farey tree (2004) (15)
Generic probabilistic modelling and non-homogeneity issues for the UK epidemic of COVID-19 (2020) (14)
Branch and probability bound methods in multi-objective optimization (2016) (14)
Branch and probability bound methods for global optimization (1990) (14)
Selection of a covariance function for a Gaussian random field aimed for modeling global optimization problems (2019) (13)
A new approach to optimal designs for correlated observations (2015) (13)
Gradient algorithms for quadratic optimization with fast convergence rates (2011) (13)
Comparison of different exit scenarios from the lock-down for COVID-19 epidemic in the UK and assessing uncertainty of the predictions (2020) (13)
Bayesian and High-Dimensional Global Optimization (2021) (13)
A generalized golden-section algorithm for line search (1998) (12)
Autoregressive negative binomial processes (2007) (11)
Asymptotic behaviour of a family of gradient algorithms in ℝd and Hilbert spaces (2006) (11)
Renormalised Steepest Descent in Hilbert Space Converges to a Two-Point Attractor (2001) (11)
An asymptotically optimal gradient algorithm for quadratic optimization with low computational cost (2013) (11)
The chaotic behaviour of search algorithms (1993) (10)
Assessing the stability of long-horizon SSA forecasting (2010) (10)
Design for linear regression models with correlated errors (2015) (10)
Stopping rules in k-adaptive global random search algorithms (2010) (10)
Power of the MOSUM test for online detection of a transient change in mean (2020) (10)
Approximation of Real Numbers by Rationals: Some Metric Theorems (1996) (10)
Dynamical Search - Applications of Dynamical Systems in Search and Optimization: Interdisciplinary Statistics (1999) (9)
Asymptotic optimal designs under long-range dependence error structure (2009) (9)
A Dynamical-System Analysis of the Optimum s-Gradient Algorithm (2009) (9)
Guest editors’ preface to the special issue devoted to the 2nd International Conference “Numerical Computations: Theory and Algorithms”, June 19–25, 2016, Pizzo Calabro, Italy (2018) (9)
Approximations for the Boundary Crossing Probabilities of Moving Sums of Random Variables (2019) (9)
Efficient parameter estimation for independent and INAR(1) negative binomial samples (2007) (8)
Covering of High-Dimensional Cubes and Quantization (2020) (8)
Extremal measures maximizing functionals based on simplicial volumes (2016) (8)
The BLUE in continuous-time regression models with correlated errors (2019) (8)
Extended generalised variances, with applications (2017) (8)
A characterization of the arcsine distribution (2009) (8)
Semiparametric statistical inference in global random search (1993) (8)
Bayesian quadrature and energy minimization for space-filling design (2018) (7)
Adaptive Targeting for Online Advertisement (2015) (7)
Approximations for the boundary crossing probabilities of moving sums of normal random variables (2018) (7)
Comparison of independent, stratified and random covering sample schemes in optimization problems (1996) (7)
Kantorovich-type inequalities for operators via D-optimal design theory (2005) (7)
The theory of search from a statistical viewpoint (1994) (7)
Measures Minimizing Regularized Dispersion (2018) (7)
Bregman divergences based on optimal design criteria and simplicial measures of dispersion (2018) (7)
Minimum-energy measures for singular kernels (2021) (7)
Stochastic Analysis of Convergence via Dynamic Representation for a Class of Line-search Algorithms (1997) (7)
Deconvolution of a discrete uniform distribution (2016) (6)
Finite Sample Behaviour of an Ergodically Fast Line-Search Algorithm (1999) (6)
Multistart with early termination of descents (2019) (6)
Forecasting European Industrial Production with Multivariate Singular Spectrum Analysis (2009) (6)
Blind deconvolution of covariance matrix inverses for autoregressive processes (2019) (6)
Discrete uniform and binomial distributions with infinite support (2020) (6)
Non-lattice Covering and Quantization of High Dimensional Sets (2020) (6)
Basic SSA (2020) (6)
Weyl sequences: asymptotic distributions of the partition lengths (1999) (6)
A prototype for decision support tool to help decision-makers with the strategy of handling the COVID-19 UK epidemic (2020) (5)
Estimation of the Treatment Difference in Multicenter Trials (2004) (5)
Studying Convergence of Gradient Algorithms Via Optimal Experimental Design Theory (2009) (5)
Efficient Quantisation and Weak Covering of High Dimensional Cubes (2020) (5)
Approximating Shepp’s constants for the Slepian process (2018) (5)
An Introduction to Dynamical Search (2002) (5)
Improving on Golden-Section Optimisation for Locally Symmetric Functions (1995) (4)
Asymptotic Upper Bounds for the Optimal Design Length in Factor Screening Experiments (1998) (4)
Best linear unbiased estimators in continuous time regression models (2016) (4)
Analysis of performance of symmetric second‐order line search algorithms through continued fractions (2001) (4)
Achieving the Ergodically Optimal Convergence Rate for a One-Dimensional Minimization Problem (1995) (4)
Approximations of the boundary crossing probabilities for the maximum of moving sums (2018) (3)
SSA analysis and forecasting of records for Earth temperature and ice extents (2017) (3)
Existence theorems for some group testing strategies (1996) (3)
'Nearly' universally optimal designs for models with correlated observations (2014) (3)
An extremal property of the generalized arcsine distribution (2013) (3)
Calibration in Survey Sampling as an Optimization Problem (2015) (3)
Blind equalization in the presence of bounded errors with unknown bound (1997) (3)
Blind equalization in presence of bounded errors (1997) (3)
Reproducing Kernel Hilbert Spaces, Polynomials, and the Classical Moment Problem (2021) (3)
Estimating the Minimal Value of a Function in Global Random Search: Comparison of Estimation Procedures (2007) (2)
Approximations of the boundary crossing probabilities for the maximum of moving weighted sums (2018) (2)
Change – Point Detection in Time Series by means of the Singular Spectrum Analysis (2010) (2)
Optimal directional statistic for general regression (2018) (2)
Reproducing kernel Hilbert spaces, polynomials and the classical moment problems (2021) (2)
Application of structured low-rank approximation methods for imputing missing values in time series (2015) (2)
Classical areas of mathematics where the concept of grossone could be useful (2016) (2)
Asymptotic distributions of statistics and parameter estimates for mixed Poisson processes (2007) (2)
Extension of the Schoenberg theorem to integrally conditionally positive definite functions (2019) (2)
Model-oriented data analysis : proceedings of the 3rd international workshop in Petrodvorets, Russia, May 25-30, 1992 (1993) (2)
Optimal estimation of direction in regression models with large number of parameters (2018) (2)
Estimation of Spectral Bounds in Gradient Algorithms (2013) (2)
Pharmaceutical Applications of a Multi-Stage Group Testing Method (2001) (2)
Multi-Center Clinical Trials with Random Enrollment: Theoretical Approximations (2005) (2)
Statistical Estimation in Global Random Search Algorithms in Case of Large Dimensions (2017) (2)
Adaptive Designs for Optimizing Online Advertisement Campaigns (2016) (2)
Bi-objective Decisions and Partition-Based Methods in Bayesian Global Optimization (2021) (2)
SSA Analysis of One-Dimensional Time Series (2018) (2)
Simplicial and Minimal-Variance Distances in Multivariate Data Analysis (2022) (1)
A new approach to optimal designs for models with correlated observations (2009) (1)
Analysis and Design in the Problem of Vector Deconvolution (2016) (1)
Comparative Study of Different Penalty Functions and Algorithms in Survey Calibration (2016) (1)
Methods Based on Statistical Models of Multimodal Functions (2008) (1)
Modeling Recurrent Events in Panel Data Using Mixed Poisson Models (2008) (1)
Adaptive Targeting in Online Advertisement: Models Based on Relative Influence of Factors (2016) (1)
Grobner basis methods in mixture experiments and generalisations (2001) (1)
SSA for Multivariate Time Series (2018) (1)
Approximation of inverse moments of discrete distributions (2014) (1)
Global optimization for structured low rank approximation (2016) (1)
First passage times for Slepian process with linear and piecewise linear barriers (2021) (1)
Nonadaptive group testing with lies: Probabilistic existence theorems (2010) (1)
Global Random Search: Fundamentals and Statistical Inference (2008) (1)
R. Paulavičius and J. Žilinskas: Simplicial global optimization (2014) (1)
Mixed Poisson Processes with Panel Flow (2008) (1)
Main Concepts and Approaches of Global Random Search (1991) (1)
Solving stochastic ship fleet routing problems with inventory management using branch and price (2012) (1)
Selection of a covariance kernel for a Gaussian random field aimed for modeling global optimization problems (2019) (1)
Foreword: Special issue INFINITY 2010 (2012) (1)
Random and quasi-random designs in group testing (2021) (1)
Introduction (2020) (0)
Statistical Inference in Global Random Search (1991) (0)
Simplicial and Minimal-Variance Distances in Multivariate Data Analysis (2022) (0)
Multistart with early termination of descents (2019) (0)
Covering of high-dimensional sets (2022) (0)
An extremal property of the generalized arcsine distribution (2012) (0)
First passage time for Slepian process with linear barrier (2019) (0)
Ya. D. Sergeyev, R. G. Strongin and D. Lera: Introduction to global optimization exploiting space-filling curves (2014) (0)
Bernoulli Extended generalised variances , with applications (2017) (0)
Random Search Algorithms for Solving Specific Problems (1991) (0)
Mixed Poisson models and singular spectrum analysis in marketing research, econometrics and other areas (2008) (0)
Optimal experimental design and quadratic optimization (2008) (0)
Global Optimization Challenges in Structured Low Rank Approximation (2017) (0)
Polynomial whitening for high-dimensional data (2022) (0)
Space-Filling in High-Dimensional Sets (2021) (0)
Prediction in regression models with continuous observations (2019) (0)
Global Optimization Methods (1991) (0)
Nina Golyandina . On the choice of parameters in Singular Spectrum Analysis and related sub space-based methods (0)
Statistical Modelling for Improving Efficiency of Online Advertising (2022) (0)
Quasi-uniform designs with optimal and near-optimal uniformity constant (2021) (0)
Foreword to the virtual special issue dedicated to the 3rd International Conference NUMTA 2019 "Numerical Computations: Theory and Algorithms" (2021) (0)
Preface to the special issue NUMTA 2013 (2015) (0)
Measures Minimizing Regularized Dispersion (2018) (0)
SVD of trajectory matrices (2001) (0)
Performance of global random search algorithms for large dimensions (2017) (0)
Global Optimization Theory: General Concepts (1991) (0)
List of data sets and their sources (2001) (0)
Nested sampling designs with small covering radii (2022) (0)
Methods of Generations (1991) (0)
Mendelian randomization (2022) (0)
Statistical Modelling in Market Research (2011) (0)
Book Reviews (2003) (0)
Global Random Search in High Dimensions (2021) (0)
Some Convergence Properties of the Steepest Descent Algorithm Revealed by Renormalisation (2001) (0)
SSA for Forecasting, Interpolation, Filtering and Estimation (2020) (0)
Optimization challenges in the structured low rank approximation problem (2012) (0)
Approximations of the boundary crossing probabilities for the maximum of moving weighted sums (2018) (0)
BLUE against OLSE in the location model: energy minimization and asymptotic considerations (2023) (0)
Time series of finite rank (2001) (0)
Bregman divergences based on optimal design criteria and simplicial measures of dispersion (2019) (0)
Guest editors’ preface to the special issue devoted to the 2nd International Conference “Numerical Computations: Theory and Algorithms”, June 19–25, 2016, Pizzo Calabro, Italy (2018) (0)
Optimal designs for regression models with autoregressive errors structure (2016) (0)
Singular Value Decomposition (2001) (0)
An extended Generalised Variance, with Applications (2014) (0)
Section — Invariant Numbers and Generalised Golden Section Optimization Algorithms* (1998) (0)
Global Random Search: Extensions (2008) (0)
Branch and probability bound methods in multi-objective optimization (2014) (0)
SSA for Forecasting, Interpolation, Filtration and Estimation (2013) (0)
Selection of a covariance function for a Gaussian random field aimed for modeling global optimization problems (2019) (0)
Improving exploration strategies in large dimensions and rate of convergence of global random search algorithms (2022) (0)
Ya. D. Sergeyev, R. G. Strongin and D. Lera: Introduction to global optimization exploiting space-filling curves (2014) (0)
Statistical forecasting of Earth temperature records (2014) (0)
Several Problems Connected with Global Random Search (1991) (0)
Basic Concepts and Ideas (2008) (0)
An asymptotically optimal gradient algorithm for quadratic optimization with low computational cost (2012) (0)
R. Paulavičius and J. Žilinskas: Simplicial global optimization (2014) (0)
First passage times for Slepian process with linear and piecewise linear barriers (2021) (0)
Parameter Estimation, Forecasting, Gap Filling (2018) (0)
Estimation of Spectral Bounds in Gradient Algorithms (2012) (0)
SSA detection of structural changes (2001) (0)
Search Methods and Observer Logics (1994) (0)
Kronecker Sequences : Asymptotic Distributions of the Partition Lengths (2007) (0)
Extremal measures maximizing functionals based on simplicial volumes (2016) (0)
Design for regression models with correlated errors (2012) (0)
Optimization problems in structured low rank approximation (2016) (0)
Correction to “Asymptotic optimal designs under long-range dependence error structure” Bernoulli 15 (2009) 1036–1056 (2012) (0)
Approximations for the boundary crossing probabilities of the maximum of moving sums of normal random variables (2019) (0)
Deriving Approximations in a Random Effects Model for Multicenter Clinical Trials with Binary Response (2007) (0)
Chapter 1 PHARMACEUTICAL APPLICATIONS OF THE MULTI-STAGE GROUP TESTING METHOD (2010) (0)

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