Edit Profile (opens in new tab) Taqqu, Murad S. Compute Distance To: Compute Author ID: taqqu.murad-s Published as: Taqqu, Murad S.; Taqqu, M. S.; Taqqu, Murad; Taqqu, Murad S. I.; Taqqu, S. more...less Homepage: http://math.bu.edu/people/murad/ External Links: MGP · Wikidata · GND · IdRef Documents Indexed: 243 Publications since 1975, including 4 Books 7 Contributions as Editor Co-Authors: 103 Co-Authors with 235 Joint Publications 2,672 Co-Co-Authors all top 5 Co-Authors 12 single-authored 25 Pipiras, Vladas 17 Bai, Shuyang 17 Samorodnitsky, Gennady Pinkhosovich 13 Stoev, Stilian A. 12 Leonenko, Nikolai N. 12 Levy, Joshua B. 12 Willinger, Walter 11 Kokoszka, Piotr S. 11 Roueff, François 9 Avram, Florin 8 Giraitis, Liudas 8 Teverovsky, Vadim 7 Dehling, Herold G. 7 Grahovac, Danijel 7 Lévy-Leduc, Céline 7 Moulines, Eric 7 Veillette, Mark S. 6 Cioczek-Georges, Renata 6 Peccati, Giovanni 6 Terrin, Norma 5 Abry, Patrice 5 Clausel, Marianne 5 Ginovyan, Mamikon S. 5 Reisen, Valdério Anselmo 4 Fox, Robert W. 4 Tudor, Ciprian A. 3 Ayache, Antoine 3 Boistard, Hélène 3 McConnell, Terry R. 3 Ruiz-Medina, María Dolores 3 Veitch, Darryl 2 Astrauskas, Arvydas 2 Bardet, Jean-Marc 2 Bradley, Brendan O. 2 Brillinger, David R. 2 Caines, Peter Edwin 2 Crovella, Mark E. 2 Czado, Claudia 2 Geweke, John F. 2 Hamrick, Jeff 2 Hardin, Clyde D. jun. 2 Lang, Gabriel 2 Mandelbrot, Benoit B. 2 Marron, James Stephen 2 Michailidis, George C. 2 Nourdin, Ivan 2 Nualart, David 2 Oppenheim, Georges G. 2 Park, Cheolwoo 2 Parzen, Emanuel 2 Paxson, Vern 2 Philippe, Anne 2 Rooch, Aeneas 2 Rosenblatt, Murray 2 Rosiński, Jan 2 Taniguchi, Masanobu 2 Wolpert, Robert L. 2 Zhou, Yingchun 1 Adler, Robert Joseph 1 Akashi, Fumiya 1 Babayan, Nikolay M. 1 Bercu, Bernard 1 Bestavros, Azer 1 Bourguin, Solesne 1 Bru, Bernard 1 Cambanis, Stamatis 1 Campese, Simon 1 Cohen, Serge 1 Conti, Pier Luigi 1 De Giovanni, Livia 1 Dedecker, Jérôme 1 Doukhan, Paul 1 Eberlein, Ernst W. 1 Epstein, Raisa 1 Erramilli, Ashok 1 Fajardo, F. A. 1 Faÿ, Gilles 1 Flandrin, Patrick 1 Genton, Marc G. 1 Godtliebsen, Fred 1 Goldberg, Jeffrey B. 1 Huang, Yifei 1 Ichiba, Tomoyuki 1 Jaffard, Stéphane 1 Kaj, Ingemar 1 Kallsen, Jan 1 Karatzas, Ioannis 1 Kardaras, Constantinos 1 Leland, Will E. 1 Mandelbaum, Avi 1 Meyer, Yves F. 1 Oppenheim, George 1 Pang, Guodong 1 Perrin, Olivier 1 Rajput, Balram S. 1 Riedi, Rolf H. 1 Sahakyan, Artur A. 1 Sellan, Fabrice 1 Sikorskii, Alla 1 Solé, Josep Lluís ...and 4 more Co-Authors all top 5 Serials 23 Stochastic Processes and their Applications 14 Journal of Time Series Analysis 13 The Annals of Probability 13 Bernoulli 11 Statistics & Probability Letters 11 Journal of Theoretical Probability 11 Fractals 8 The Annals of Statistics 8 Probability Theory and Related Fields 6 Methodology and Computing in Applied Probability 5 Journal of Multivariate Analysis 4 Journal of Statistical Planning and Inference 4 Zeitschrift für Wahrscheinlichkeitstheorie und Verwandte Gebiete 4 Electronic Journal of Probability 3 Journal of Econometrics 3 Statistical Science 3 Signal Processing 3 Electronic Journal of Statistics 2 Advances in Applied Probability 2 Scandinavian Journal of Statistics 2 Stochastic Analysis and Applications 2 Communications in Statistics. Stochastic Models 2 Statistics 2 Mathematical and Computer Modelling 2 Computational Statistics and Data Analysis 2 Statistica Sinica 2 The Journal of Fourier Analysis and Applications 2 Finance and Stochastics 2 Mathematical Finance 2 Statistical Inference for Stochastic Processes 2 Quantitative Finance 2 Stochastics and Dynamics 2 The IMA Volumes in Mathematics and its Applications 2 ALEA. Latin American Journal of Probability and Mathematical Statistics 2 Probability Surveys 1 IEEE Transactions on Information Theory 1 Journal of Statistical Physics 1 Lithuanian Mathematical Journal 1 Metrika 1 Annales des Sciences Mathématiques du Québec 1 Gazette des Mathématiciens 1 Journal of Applied Probability 1 Nagoya Mathematical Journal 1 Rendiconti di Matematica e delle sue Applicazioni. Serie VII 1 Acta Mathematica Hungarica 1 Revista Matemática Iberoamericana 1 Publicacions Matemàtiques 1 The Annals of Applied Probability 1 Litovskiĭ Matematicheskiĭ Sbornik 1 SIAM Journal on Mathematical Analysis 1 Annales de l’Institut Henri Poincaré. Probabilités et Statistiques 1 Applied and Computational Harmonic Analysis 1 European Series in Applied and Industrial Mathematics (ESAIM): Probability and Statistics 1 Mathematical Methods of Operations Research 1 International Journal of Theoretical and Applied Finance 1 Extremes 1 Discussiones Mathematicae. Probability and Statistics 1 Stochastic Models 1 Stochastics 1 Bulletin of the International Statistical Institute 1 Progress in Probability 1 Cambridge Series in Statistical and Probabilistic Mathematics 1 Communications on Stochastic Analysis 1 Bocconi & Springer Series 1 Trends in Mathematics 1 SpringerBriefs in Probability and Mathematical Statistics 1 Progress in Probability and Statistics 1 Japanese Journal of Statistics and Data Science all top 5 Fields 205 Probability theory and stochastic processes (60-XX) 90 Statistics (62-XX) 15 Numerical analysis (65-XX) 11 Harmonic analysis on Euclidean spaces (42-XX) 9 Game theory, economics, finance, and other social and behavioral sciences (91-XX) 8 Operations research, mathematical programming (90-XX) 7 General and overarching topics; collections (00-XX) 7 Information and communication theory, circuits (94-XX) 5 Real functions (26-XX) 5 Measure and integration (28-XX) 4 Special functions (33-XX) 4 Dynamical systems and ergodic theory (37-XX) 3 Combinatorics (05-XX) 3 Linear and multilinear algebra; matrix theory (15-XX) 2 History and biography (01-XX) 2 Partial differential equations (35-XX) 2 Statistical mechanics, structure of matter (82-XX) 1 Number theory (11-XX) 1 Approximations and expansions (41-XX) 1 Functional analysis (46-XX) 1 Operator theory (47-XX) 1 Convex and discrete geometry (52-XX) 1 Quantum theory (81-XX) 1 Astronomy and astrophysics (85-XX) Publications by Year all cited Publications top 5 cited Publications Citations contained in zbMATH Open 227 Publications have been cited 5,853 times in 3,395 Documents Cited by ▼ Year ▼ Stable non-Gaussian random processes: stochastic models with infinite variance. Zbl 0925.60027Samorodnitsky, Gennady; Taqqu, Murad S. 1,281 1994 Weak convergence to fractional Brownian motion and to the Rosenblatt process. Zbl 0303.60033Taqqu, Murad S. 376 1975 Convergence of integrated processes of arbitrary Hermite rank. Zbl 0397.60028Taqqu, Murad S. 274 1979 Large-sample properties of parameter estimates for strongly dependent stationary Gaussian time series. Zbl 0606.62096Fox, Robert; Taqqu, Murad S. 254 1986 Theory and applications of long-range dependence. Zbl 1005.00017 216 2003 Wiener chaos: Moments, cumulants and diagrams. A survey with computer implementation. Zbl 1231.60003Peccati, Giovanni; Taqqu, Murad S. 123 2011 Integration questions related to fractional Brownian motion. Zbl 0970.60058Pipiras, Vladas; Taqqu, Murad S. 120 2000 The empirical process of some long-range dependent sequences with an application to U-statistics. Zbl 0696.60032Dehling, Herold; Taqqu, Murad S. 112 1989 Estimators for long-range dependence: An empirical study. Zbl 0864.62061Taqqu, Murad S.; Teverovsky, Vadim; Willinger, Walter 88 1995 A practical guide to heavy tails. Statistical techniques and applications. Zbl 0901.00010 86 1998 Law of the iterated logarithm for sums of non-linear functions of Gaussian variables that exhibit a long range dependence. Zbl 0358.60048Taqqu, Murad S. 85 1977 Stock market prices and long-range dependence. Zbl 0924.90029Willinger, Walter; Taqqu, Murad S.; Teverovsky, Vadim 75 1999 Noncentral limit theorems and Appell polynomials. Zbl 0624.60049Avram, Florin; Taqqu, Murad S. 72 1987 Long-range dependence and self-similarity. Zbl 1377.60005Pipiras, Vladas; Taqqu, Murad S. 66 2017 Central limit theorems for quadratic forms in random variables having long-range dependence. Zbl 0586.60019Fox, Robert; Taqqu, Murad S. 64 1987 Fractional ARIMA with stable innovations. Zbl 0846.62066Kokoszka, Piotr S.; Taqqu, Murad S. 64 1995 Are classes of deterministic integrands for fractional Brownian motion on an interval complete? Zbl 1003.60055Pipiras, Vladas; Taqqu, Murad S. 64 2001 Fractional Brownian motion and long-range dependence. Zbl 1039.60041Taqqu, Murad S. 59 2003 Self-similarity in high-speed packet traffic: analysis and modeling of Ethernet traffic measurements. Zbl 1148.90310Willinger, Walter; Taqqu, Murad S.; Leland, Will E.; Wilson, Daniel V. 53 1995 Stein’s method and normal approximation of Poisson functionals. Zbl 1195.60037Peccati, G.; Solé, J. L.; Taqqu, M. S.; Utzet, F. 50 2010 Parameter estimation for infinite variance fractional ARIMA. Zbl 0896.62092Kokoszka, Piotr S.; Taqqu, Murad S. 48 1996 Wavelets, generalized white noise and fractional integration: The synthesis of fractional Brownian motion. Zbl 0948.60026Meyer, Yves; Sellan, Fabrice; Taqqu, Murad S. 47 1999 Weak convergence of sums of moving averages in the \(\alpha\)-stable domain of attraction. Zbl 0747.60032Avram, Florin; Taqqu, Murad S. 47 1992 Convergence to fractional Brownian motion and to the telecom process: the integral representation approach. Zbl 1154.60020Kaj, Ingemar; Taqqu, Murad S. 46 2008 Properties and numerical evaluation of the Rosenblatt distribution. Zbl 1273.60020Veillette, Mark S.; Taqqu, Murad S. 45 2013 On the spectral density of the wavelet coefficients of long-memory time series with application to the log-regression estimation of the memory parameter. Zbl 1150.62058Moulines, E.; Roueff, F.; Taqqu, M. S. 36 2007 Extremal stochastic integrals: a parallel between max-stable processes and \(\alpha\)-stable processes. Zbl 1142.60355Stoev, Stilian A.; Taqqu, Murad S. 36 2005 Regularization and integral representations of Hermite processes. Zbl 1216.60029Pipiras, Vladas; Taqqu, Murad S. 34 2010 Robust R/S analysis of long-run serial correlation. Zbl 0518.62036Mandelbrot, Benoit B.; Taqqu, Murad S. 33 1979 Simulation methods for linear fractional stable motion and FARIMA using the fast Fourier transform. Zbl 1083.65005Stoev, Stilian; Taqqu, Murad S. 32 2004 How rich is the class of multifractional Brownian motions? Zbl 1094.60024Stoev, Stilian A.; Taqqu, Murad S. 31 2006 Whittle estimator for finite-variance non-Gaussian time series with long memory. Zbl 0945.62085Giraitis, Liudas; Taqqu, Murad S. 30 1999 Estimators of long-memory: Fourier versus wavelets. Zbl 1431.62367Faÿ, Gilles; Moulines, Eric; Roueff, François; Taqqu, Murad S. 30 2009 Fractional Ornstein-Uhlenbeck Lévy processes and the telecom process: Upstairs and downstairs. Zbl 1160.94370Wolpert, Robert L.; Taqqu, Murad S. 29 2005 Heavy-tailed probability distributions in the World Wide Web. Zbl 0945.62130Crovella, Mark E.; Taqqu, Murad S.; Bestavros, Azer 29 1998 Self-similarity and long-range dependence through the wavelet lens. Zbl 1029.60028Abry, Patrice; Flandrin, Patrick; Taqqu, Murad S.; Veitch, Darryl 28 2003 A wavelet Whittle estimator of the memory parameter of a nonstationary Gaussian time series. Zbl 1142.62062Moulines, E.; Roueff, F.; Taqqu, M. S. 28 2008 A critical look at Lo’s modified \(R/S\) statistic. Zbl 1044.60508Teverovsky, Vadim; Taqqu, Murad S.; Willinger, Walter 26 1999 Renewal reward processes with heavy-tailed inter-renewal times and heavy-tailed rewards. Zbl 0954.60071Levy, Joshua B.; Taqqu, Murad S. 26 2000 Multiple stochastic integrals with dependent integrators. Zbl 0649.60064Fox, Robert; Taqqu, Murad S. 26 1987 Noncentral limit theorems for quadratic forms in random variables having long-range dependence. Zbl 0569.60016Fox, Robert; Taqqu, Murad S. 26 1985 Self-similarity and heavy tails: Structural modeling of network traffic. Zbl 0926.90014Willinger, Walter; Paxson, Vern; Taqqu, Murad S. 26 1998 Multifractional processes with random exponent. Zbl 1082.60032Ayache, Antoine; Taqqu, Murad S. 25 2005 Non-parametric change-point tests for long-range dependent data. Zbl 1259.62028Dehling, Herold; Rooch, Aeneas; Taqqu, Murad S. 25 2013 Infinite variance stable ARMA processes. Zbl 0804.62082Kokoszka, Piotr S.; Taqqu, Murad S. 24 1994 Rate optimality of wavelet series approximations of fractional Brownian motion. Zbl 1050.60043Ayache, Antoine; Taqqu, Murad S. 24 2003 A representation for self-similar processes. Zbl 0373.60048Taqqu, Murad S. 24 1978 On estimating the intensity of long-range dependence in finite and infinite variance time series. Zbl 0922.62091Taqqu, Murad S.; Teverovsky, Vadim 24 1998 Estimation of the self-similarity parameter in linear fractional stable motion. Zbl 1098.94589Stoev, Stilian; Pipiras, Vladas; Taqqu, Murad S. 23 2002 Stochastic properties of the linear multifractional stable motion. Zbl 1068.60057Stoev, Stilian; Taqqu, Murad S. 23 2004 Infinite variance self-similar processes subordinate to a Poisson measure. Zbl 0488.60066Taqqu, Murad S.; Wolpert, Robert L. 22 1983 Numerical computation of first-passage times of increasing Lévy processes. Zbl 1213.60094Veillette, Mark; Taqqu, Murad S. 22 2010 Generalized Hermite processes, discrete chaos and limit theorems. Zbl 1282.60043Bai, Shuyang; Taqqu, Murad S. 22 2014 Multivariate limit theorems in the context of long-range dependence. Zbl 1291.62160Bai, Shuyang; Taqqu, Murad S. 21 2013 Semi-parametric estimation of the long-range dependence parameter: A survey. Zbl 1032.62077Bardet, Jean-Marc; Lang, Gabriel; Oppenheim, Georges; Philippe, Anne; Stoev, Stilian; Taqqu, Murad S. 21 2003 Testing for long-range dependence in the presence of shifting means or a slowly declining trend, using a variance-type estimator. Zbl 0934.62094Teverovsky, Vadim; Taqqu, Murad 21 1997 Generators of long-range dependent processes: A survey. Zbl 1031.65010Bardet, Jean-Marc; Lang, Gabriel; Oppenheim, Georges; Philippe, Anne; Taqqu, Murad S. 20 2003 A noncentral limit theorem for quadratic forms of Gaussian stationary sequences. Zbl 0724.60048Terrin, Norma; Taqqu, Murad S. 20 1990 Asymptotic properties of \(U\)-processes under long-range dependence. Zbl 1242.62100Lévy-Leduc, C.; Boistard, H.; Moulines, E.; Taqqu, M. S.; Reisen, V. A. 20 2011 Robustness of Whittle-type estimators for time series with long-range dependence. Zbl 1090.62555Taqqu, Murad S.; Teverovsky, Vadim 19 1997 The structure of self-similar stable mixed moving averages. Zbl 1016.60057Pipiras, Vladas; Taqqu, Murad S. 19 2002 Using differential equations to obtain joint moments of first-passage times of increasing Lévy processes. Zbl 1203.60049Veillette, Mark; Taqqu, Murad S. 19 2010 Bivariate symmetric statistics of long-range dependent observations. Zbl 0737.62042Dehling, Herold; Taqqu, Murad S. 18 1991 Path properties of the linear multifractional stable motion. Zbl 1304.28010Stoev, Stilian; Taqqu, Murad S. 18 2005 The analysis of finite security markets using martingales. Zbl 0618.60047Taqqu, Murad S.; Willinger, Walter 18 1987 A bibliographical guide to self-similar traffic and performance modeling for modern high-speed networks. Zbl 0855.60086Willinger, Walter; Taqqu, Murad S.; Erramilli, Ashok 18 1996 Wavelet construction of generalized multifractional processes. Zbl 1123.60022Ayache, Antoine; Jaffard, Stéphane; Taqqu, Murad S. 18 2007 Slow, fast and arbitrary growth conditions for renewal-reward processes when both the renewals and the rewards are heavy-tailed. Zbl 1043.60040Pipiras, Vladas; Taqqu, Murad S.; Levy, Joshua B. 18 2004 Asymptotic normality of wavelet estimators of the memory parameter for linear processes. Zbl 1224.62068Roueff, F.; Taqqu, M. S. 17 2009 LASS: a tool for the local analysis of self-similarity. Zbl 1445.62240Stoev, Stilian; Taqqu, Murad S.; Park, Cheolwoo; Michailidis, George; Marron, J. S. 17 2006 Behavior of the generalized Rosenblatt process at extreme critical exponent values. Zbl 1392.60026Bai, Shuyang; Taqqu, Murad S. 17 2017 Long-range dependence and data network traffic. Zbl 1109.60317Willinger, Walter; Paxson, Vern; Riedi, Rolf H.; Taqqu, Murad S. 16 2003 Decoupling inequalities for multilinear forms in independent symmetric random variables. Zbl 0602.60025McConnell, Terry R.; Taqqu, Murad S. 16 1986 Decomposition of self-similar stable mixed moving averages. Zbl 1007.60026Pipiras, Vladas; Taqqu, Murad S. 16 2002 Self-similarity and Lamperti transformation for random fields. Zbl 1125.60046Genton, Marc G.; Perrin, Olivier; Taqqu, Murad S. 16 2007 Central limit theorem for the log-regression wavelet estimation of the memory parameter in the Gaussian semi-parametric context. Zbl 1141.62073Moulines, E.; Roueff, F.; Taqqu, Murad S. 16 2007 The asymptotic dependence structure of the linear fractional Lévy motion. Zbl 0786.60052Astrauskas, A.; Lévy, J. B.; Taqqu, M. S. 15 1991 On the efficiency of the sample mean in long-memory noise. Zbl 0637.62085Samarov, Alexander; Taqqu, Murad S. 15 1988 Option pricing in ARCH-type models. Zbl 0911.90028Kallsen, Jan; Taqqu, Murad S. 15 1998 Robust estimation of the scale and of the autocovariance function of Gaussian short- and long-range dependent processes. Zbl 1290.62082Lévy-Leduc, Céline; Boistard, Hélène; Moulines, Eric; Taqqu, Murad S.; Reisen, Valderio A. 14 2011 Limit theorems for bivariate Appell polynomials. I: Central limit theorems. Zbl 0873.60007Giraitis, Liudas; Taqqu, Murad S. 14 1997 Stochastic monotonicity and Slepian-type inequalities for infinitely divisible and stable random vectors. Zbl 0771.60017Samorodnitsky, Gennady; Taqqu, Murad S. 14 1993 Fractional calculus and its connections to fractional Brownian motion. Zbl 1031.60047Pipiras, Vladas; Taqqu, Murad S. 14 2003 Dependence in probability and statistics. A survey of recent results. (Oberwolfach, 1985). Zbl 0591.00012 14 1986 Bounds for the covariance of functions of infinite variance stable random variables with applications to central limit theorems and wavelet-based estimation. Zbl 1129.62021Pipiras, Vladas; Taqqu, Murad S.; Abry, Patrice 14 2007 Fractional elliptic, hyperbolic and parabolic random fields. Zbl 1231.60045Leonenko, Nikolai; Ruiz-Medina, María D.; Taqqu, Murad S. 14 2011 Using renewal processes to generate long-range dependence and high variability. Zbl 0601.60085Taqqu, Murad S.; Levy, Joshua B. 13 1986 Invariance principle for symmetric statistics. Zbl 0547.60039Mandelbaum, Avi; Taqqu, Murad S. 13 1984 Central limit theorems for quadratic forms with time-domain conditions. Zbl 0943.60018Giraitis, Liudas; Taqqu, Murad S. 12 1998 Almost sure central limit theorems on the Wiener space. Zbl 1219.60020Bercu, Bernard; Nourdin, Ivan; Taqqu, Murad S. 12 2010 Stable stationary processes related to cyclic flows. Zbl 1054.60056Pipiras, Vladas; Taqqu, Murad S. 12 2004 A bibliographical guide to self-similar processes and long-range dependence. Zbl 0596.60054Taqqu, Murad S. 12 1986 Central limit theorems for double Poisson integrals. Zbl 1165.60014Peccati, Giovanni; Taqqu, Murad S. 12 2008 Meaningful MRA initialization for discrete time series. Zbl 1035.94520Veitch, D.; Taqqu, M. S.; Abry, P. 11 2000 Wick-Itô formula for Gaussian processes. Zbl 1123.60041Nualart, David; Taqqu, Murad S. 11 2006 The limit of a renewal reward process with heavy-tailed rewards is not a linear fractional stable motion. Zbl 0963.60032Pipiras, Vladas; Taqqu, Murad S. 11 2000 Estimating long-range dependence in the presence of periodicity: An empirical study. Zbl 0999.62072Montanari, A.; Taqqu, M. S.; Teverovsky, V. 11 1999 Is network traffic self-similar or multifractal? Zbl 0908.60078Taqqu, Murad S.; Teverovsky, Vadim; Willinger, Walter 11 1997 Limit theorems for quadratic forms of Lévy-driven continuous-time linear processes. Zbl 1333.60024Bai, Shuyang; Ginovyan, Mamikon S.; Taqqu, Murad S. 10 2016 Self-similar processes and related ultraviolet and infrared catastrophes. Zbl 0498.60096Taqqu, S. 10 1981 Path properties of a generalized fractional Brownian motion. Zbl 1495.60023Ichiba, Tomoyuki; Pang, Guodong; Taqqu, Murad S. 2 2022 Intermittency and infinite variance: the case of integrated supou processes. Zbl 1480.60122Grahovac, Danijel; Leonenko, Nikolai N.; Taqqu, Murad S. 1 2021 Extensions of Rosenblatt’s results on the asymptotic behavior of the prediction error for deterministic stationary sequences. Zbl 1489.60052Babayan, Nikolay M.; Ginovyan, Mamikon S.; Taqqu, Murad S. 1 2021 Limit theorems for long-memory flows on Wiener chaos. Zbl 1466.60072Bai, Shuyang; Taqqu, Murad S. 4 2020 The multifaceted behavior of integrated supOU processes: the infinite variance case. Zbl 1469.60078Grahovac, Danijel; Leonenko, Nikolai N.; Taqqu, Murad S. 2 2020 The unusual properties of aggregated superpositions of Ornstein-Uhlenbeck type processes. Zbl 1466.60095Grahovac, Danijel; Leonenko, Nikolai N.; Sikorskii, Alla; Taqqu, Murad S. 8 2019 Limit theorems, scaling of moments and intermittency for integrated finite variance supOU processes. Zbl 1427.60045Grahovac, Danijel; Leonenko, Nikolai N.; Taqqu, Murad S. 5 2019 Four moments theorems on Markov chaos. Zbl 1466.60041Bourguin, Solesne; Campese, Simon; Leonenko, Nikolai; Taqqu, Murad S. 4 2019 Sensitivity of the Hermite rank. Zbl 1412.62114Bai, Shuyang; Taqqu, Murad S. 3 2019 How the instability of ranks under long memory affects large-sample inference. Zbl 1407.62274Bai, Shuyang; Taqqu, Murad S. 7 2018 Estimation of the covariance function of Gaussian isotropic random fields on spheres, related Rosenblatt-type distributions and the cosmic variance problem. Zbl 1403.62173Leonenko, Nikolai N.; Taqqu, Murad S.; Terdik, Gyorgy H. 6 2018 Intermittency of trawl processes. Zbl 1406.60052Grahovac, Danijel; Leonenko, Nikolai N.; Taqqu, Murad S. 3 2018 \(M\)-periodogram for the analysis of long-range-dependent time series. Zbl 1408.62146Fajardo, F. A.; Reisen, V. A.; Lévy-Leduc, Celine; Taqqu, M. S. 2 2018 Long-range dependence and self-similarity. Zbl 1377.60005Pipiras, Vladas; Taqqu, Murad S. 66 2017 Behavior of the generalized Rosenblatt process at extreme critical exponent values. Zbl 1392.60026Bai, Shuyang; Taqqu, Murad S. 17 2017 Rosenblatt distribution subordinated to Gaussian random fields with long-range dependence. Zbl 1359.60066Leonenko, N. N.; Ruiz-Medina, M. D.; Taqqu, M. S. 9 2017 An \(M\)-estimator for the long-memory parameter. Zbl 1391.62173Reisen, V. A.; Lévy-Leduc, C.; Taqqu, M. S. 6 2017 Stable non-Gaussian self-similar processes with stationary increments. Zbl 1499.60002Pipiras, Vladas; Taqqu, Murad S. 5 2017 On the validity of resampling methods under long memory. Zbl 1395.62262Bai, Shuyang; Taqqu, Murad S. 4 2017 The impact of the diagonals of polynomial forms on limit theorems with long memory. Zbl 1360.60048Bai, Shuyang; Taqqu, Murad S. 4 2017 Asymptotic normality of quadratic forms of martingale differences. Zbl 06821278Giraitis, Liudas; Taniguchi, Masanobu; Taqqu, Murad S. 4 2017 Power of change-point tests for long-range dependent data. Zbl 1378.62064Dehling, Herold; Rooch, Aeneas; Taqqu, Murad S. 4 2017 Non-central limit theorems for random fields subordinated to gamma-correlated random fields. Zbl 1407.60074Leonenko, Nikolai; Ruiz-Medina, M. Dolores; Taqqu, Murad S. 1 2017 Limit theorems for quadratic forms of Lévy-driven continuous-time linear processes. Zbl 1333.60024Bai, Shuyang; Ginovyan, Mamikon S.; Taqqu, Murad S. 10 2016 A unified approach to self-normalized block sampling. Zbl 1338.62123Bai, Shuyang; Taqqu, Murad S.; Zhang, Ting 4 2016 The universality of homogeneous polynomial forms and critical limits. Zbl 1357.60021Bai, Shuyang; Taqqu, Murad S. 2 2016 Short-range dependent processes subordinated to the Gaussian may not be strong mixing. Zbl 1345.60034Bai, Shuyang; Taqqu, Murad S. 1 2016 Weak convergence of the empirical process of intermittent maps in \(\mathbb{L}^{2}\) under long-range dependence. Zbl 1315.60038Dedecker, Jérôme; Dehling, Herold; Taqqu, Murad S. 8 2015 Convergence of long-memory discrete \(k\)th order Volterra processes. Zbl 1329.60022Bai, Shuyang; Taqqu, Murad S. 4 2015 Scaling properties of the empirical structure function of linear fractional stable motion and estimation of its parameters. Zbl 1319.60080Grahovac, Danijel; Leonenko, Nikolai N.; Taqqu, Murad S. 4 2015 Functional limit theorems for Toeplitz quadratic functionals of continuous time Gaussian stationary processes. Zbl 1322.60027Bai, Shuyang; Ginovyan, Mamikon S.; Taqqu, Murad S. 4 2015 Generalized Hermite processes, discrete chaos and limit theorems. Zbl 1282.60043Bai, Shuyang; Taqqu, Murad S. 22 2014 Wavelet estimation of the long memory parameter for Hermite polynomial of Gaussian processes. Zbl 1310.42023Clausel, M.; Roueff, F.; Taqqu, M. S.; Tudor, C. 9 2014 The trace problem for Toeplitz matrices and operators and its impact in probability. Zbl 1348.60054Ginovyan, Mamikon S.; Sahakyan, Artur A.; Taqqu, Murad S. 8 2014 Central and non-central limit theorems in a free probability setting. Zbl 1314.46077Nourdin, Ivan; Taqqu, Murad S. 8 2014 Structure of the third moment of the generalized Rosenblatt distribution. Zbl 1301.60047Bai, Shuyang; Taqqu, Murad S. 4 2014 Asymptotic behavior of the quadratic variation of the sum of two Hermite processes of consecutive orders. Zbl 1333.60072Clausel, M.; Roueff, F.; Taqqu, M. S.; Tudor, C. 4 2014 Hermite ranks and \(U\)-statistics. Zbl 1282.62182Lévy-Leduc, C.; Taqqu, M. S. 2 2014 The asymptotic codifference and covariation of log-fractional stable noise. Zbl 1311.60054Levy, Joshua B.; Taqqu, Murad S. 1 2014 Properties and numerical evaluation of the Rosenblatt distribution. Zbl 1273.60020Veillette, Mark S.; Taqqu, Murad S. 45 2013 Non-parametric change-point tests for long-range dependent data. Zbl 1259.62028Dehling, Herold; Rooch, Aeneas; Taqqu, Murad S. 25 2013 Multivariate limit theorems in the context of long-range dependence. Zbl 1291.62160Bai, Shuyang; Taqqu, Murad S. 21 2013 Benoît Mandelbrot and fractional Brownian motion. Zbl 1332.60008Taqqu, Murad S. 5 2013 High order chaotic limits of wavelet scalograms under long-range dependence. Zbl 1280.42031Clausel, M.; Roueff, F.; Taqqu, M. S.; Tudor, C. 4 2013 Multivariate limits of multilinear polynomial-form processes with long memory. Zbl 1307.60037Bai, Shuyang; Taqqu, Murad S. 2 2013 Long-range dependence and the rank of decompositions. Zbl 1321.60074Lévy-Leduc, Céline; Taqqu, Murad S. 2 2013 Berry-Esseen and Edgeworth approximations for the normalized tail of an infinite sum of independent weighted gamma random variables. Zbl 1236.60027Veillette, Mark S.; Taqqu, Murad S. 4 2012 Large scale behavior of wavelet coefficients of non-linear subordinated processes with long memory. Zbl 1244.60044Clausel, Marianne; Roueff, François; Taqqu, Murad S.; Tudor, Ciprian 3 2012 Distribution functions of Poisson random integrals: analysis and computation. Zbl 1253.60069Veillette, Mark; Taqqu, Murad S. 1 2012 Wiener chaos: Moments, cumulants and diagrams. A survey with computer implementation. Zbl 1231.60003Peccati, Giovanni; Taqqu, Murad S. 123 2011 Asymptotic properties of \(U\)-processes under long-range dependence. Zbl 1242.62100Lévy-Leduc, C.; Boistard, H.; Moulines, E.; Taqqu, M. S.; Reisen, V. A. 20 2011 Robust estimation of the scale and of the autocovariance function of Gaussian short- and long-range dependent processes. Zbl 1290.62082Lévy-Leduc, Céline; Boistard, Hélène; Moulines, Eric; Taqqu, Murad S.; Reisen, Valderio A. 14 2011 Fractional elliptic, hyperbolic and parabolic random fields. Zbl 1231.60045Leonenko, Nikolai; Ruiz-Medina, María D.; Taqqu, Murad S. 14 2011 Estimating heavy-tail exponents through max self-similarity. Zbl 1366.62041Stoev, Stilian A.; Michailidis, George; Taqqu, Murad S. 9 2011 Large sample behaviour of some well-known robust estimators under long-range dependence. Zbl 1291.62108Lévy-Leduc, C.; Boistard, H.; Moulines, E.; Taqqu, M. S.; Reisen, V. A. 8 2011 A technique for computing the PDFs and CDFs of nonnegative infinitely divisible random variables. Zbl 1210.60023Veillette, Mark S.; Taqqu, Murad S. 7 2011 Maximum penalized quasi-likelihood estimation of the diffusion function. Zbl 1277.91200Hamrick, Jeff; Huang, Yifei; Kardaras, Constantinos; Taqqu, Murad S. 3 2011 The long-range dependence of linear log-fractional stable motion. Zbl 1331.60066Levy, Joshua B.; Taqqu, Murad S. 2 2011 Stein’s method and normal approximation of Poisson functionals. Zbl 1195.60037Peccati, G.; Solé, J. L.; Taqqu, M. S.; Utzet, F. 50 2010 Regularization and integral representations of Hermite processes. Zbl 1216.60029Pipiras, Vladas; Taqqu, Murad S. 34 2010 Numerical computation of first-passage times of increasing Lévy processes. Zbl 1213.60094Veillette, Mark; Taqqu, Murad S. 22 2010 Using differential equations to obtain joint moments of first-passage times of increasing Lévy processes. Zbl 1203.60049Veillette, Mark; Taqqu, Murad S. 19 2010 Almost sure central limit theorems on the Wiener space. Zbl 1219.60020Bercu, Bernard; Nourdin, Ivan; Taqqu, Murad S. 12 2010 Estimators of long-memory: Fourier versus wavelets. Zbl 1431.62367Faÿ, Gilles; Moulines, Eric; Roueff, François; Taqqu, Murad S. 30 2009 Asymptotic normality of wavelet estimators of the memory parameter for linear processes. Zbl 1224.62068Roueff, F.; Taqqu, M. S. 17 2009 Central limit theorems for arrays of decimated linear processes. Zbl 1173.60311Roueff, F.; Taqqu, M. S. 6 2009 Testing diffusion processes for non-stationarity. Zbl 1173.91025Hamrick, Jeff; Taqqu, Murad S. 2 2009 Convergence to fractional Brownian motion and to the telecom process: the integral representation approach. Zbl 1154.60020Kaj, Ingemar; Taqqu, Murad S. 46 2008 A wavelet Whittle estimator of the memory parameter of a nonstationary Gaussian time series. Zbl 1142.62062Moulines, E.; Roueff, F.; Taqqu, M. S. 28 2008 Central limit theorems for double Poisson integrals. Zbl 1165.60014Peccati, Giovanni; Taqqu, Murad S. 12 2008 Stable convergence of multiple Wiener–Itô integrals. Zbl 1157.60050Peccati, Giovanni; Taqqu, Murad S. 9 2008 Wick-Itô formula for regular processes and applications to the Black and Scholes formula. Zbl 1160.60012Nualart, David; Taqqu, Murad S. 4 2008 Limit theorems for multiple stochastic integrals. Zbl 1162.60311Peccati, Giovanni; Taqqu, Murad S. 3 2008 Confidence intervals for the long memory parameter based on wavelets and resampling. Zbl 1135.62023Conti, Pier Luigi; De Giovanni, Livia; Stoev, Stilian A.; Taqqu, Murad S. 3 2008 The dependence structure of log-fractional stable noise with analogy to fractional Gaussian noise. Zbl 1175.60048Taqqu, Murad S.; Levy, Joshua B. 1 2008 Small and large scale asymptotics of some Lévy stochastic integrals. Zbl 1140.60324Pipiras, Vladas; Taqqu, Murad S. 1 2008 On the spectral density of the wavelet coefficients of long-memory time series with application to the log-regression estimation of the memory parameter. Zbl 1150.62058Moulines, E.; Roueff, F.; Taqqu, M. S. 36 2007 Wavelet construction of generalized multifractional processes. Zbl 1123.60022Ayache, Antoine; Jaffard, Stéphane; Taqqu, Murad S. 18 2007 Self-similarity and Lamperti transformation for random fields. Zbl 1125.60046Genton, Marc G.; Perrin, Olivier; Taqqu, Murad S. 16 2007 Central limit theorem for the log-regression wavelet estimation of the memory parameter in the Gaussian semi-parametric context. Zbl 1141.62073Moulines, E.; Roueff, F.; Taqqu, Murad S. 16 2007 Bounds for the covariance of functions of infinite variance stable random variables with applications to central limit theorems and wavelet-based estimation. Zbl 1129.62021Pipiras, Vladas; Taqqu, Murad S.; Abry, Patrice 14 2007 Stable convergence of generalized \(L^{2}\) stochastic integrals and the principle of conditioning. Zbl 1139.60024Peccati, Giovanni; Taqqu, Murad S. 8 2007 Visualization and inference based on wavelet coefficients, SiZer and SiNos. Zbl 1445.62236Park, Cheolwoo; Godtliebsen, Fred; Taqqu, Murad; Stoev, Stilian; Marron, J. S. 7 2007 Limit theorems for sums of heavy-tailed variables with random dependent weights. Zbl 1134.60028Stoev, Stilian A.; Taqqu, Murad S. 1 2007 Integral representations of periodic and cyclic fractional stable motions. Zbl 1130.60048Pipiras, Vladas; Taqqu, Murad S. 1 2007 How rich is the class of multifractional Brownian motions? Zbl 1094.60024Stoev, Stilian A.; Taqqu, Murad S. 31 2006 LASS: a tool for the local analysis of self-similarity. Zbl 1445.62240Stoev, Stilian; Taqqu, Murad S.; Park, Cheolwoo; Michailidis, George; Marron, J. S. 17 2006 Wick-Itô formula for Gaussian processes. Zbl 1123.60041Nualart, David; Taqqu, Murad S. 11 2006 Impact of the sampling rate on the estimation of the parameters of fractional Brownian motion. Zbl 1126.62072Zhu, Zhengyuan; Taqqu, Murad S. 3 2006 On a Szegö type limit theorem and the asymptotic theory of random sums, integrals and quadratic forms. Zbl 1113.60024Avram, Florin; Taqqu, Murad S. 1 2006 How complete random permutations affect the dependence structure of stationary sequences with long-range dependence. Zbl 1302.60062Zhou, Yingchun; Taqqu, Murad S. 1 2006 Extremal stochastic integrals: a parallel between max-stable processes and \(\alpha\)-stable processes. Zbl 1142.60355Stoev, Stilian A.; Taqqu, Murad S. 36 2005 Fractional Ornstein-Uhlenbeck Lévy processes and the telecom process: Upstairs and downstairs. Zbl 1160.94370Wolpert, Robert L.; Taqqu, Murad S. 29 2005 Multifractional processes with random exponent. Zbl 1082.60032Ayache, Antoine; Taqqu, Murad S. 25 2005 Path properties of the linear multifractional stable motion. Zbl 1304.28010Stoev, Stilian; Taqqu, Murad S. 18 2005 Asymptotic self-similarity and wavelet estimation for long-range dependent fractional autoregressive integrated moving average time series with stable innovations. Zbl 1091.62087Stoev, Stilian; Taqqu, Murad S. 10 2005 Simulation methods for linear fractional stable motion and FARIMA using the fast Fourier transform. Zbl 1083.65005Stoev, Stilian; Taqqu, Murad S. 32 2004 Stochastic properties of the linear multifractional stable motion. Zbl 1068.60057Stoev, Stilian; Taqqu, Murad S. 23 2004 Slow, fast and arbitrary growth conditions for renewal-reward processes when both the renewals and the rewards are heavy-tailed. Zbl 1043.60040Pipiras, Vladas; Taqqu, Murad S.; Levy, Joshua B. 18 2004 Stable stationary processes related to cyclic flows. Zbl 1054.60056Pipiras, Vladas; Taqqu, Murad S. 12 2004 ...and 127 more Documents all cited Publications top 5 cited Publications all top 5 Cited by 3,274 Authors 121 Taqqu, Murad S. 66 Leonenko, Nikolai N. 58 Surgailis, Donatas 50 Samorodnitsky, Gennady Pinkhosovich 40 Tudor, Ciprian A. 36 Meerschaert, Mark Marvin 36 Peccati, Giovanni 34 Mikosch, Thomas 33 Giraitis, Liudas 33 Xiao, Yimin 32 Nourdin, Ivan 31 Nualart, David 30 Pipiras, Vladas 29 Ayache, Antoine 27 Rachev, Svetlozar T. 27 Robinson, Peter Michael 25 Kokoszka, Piotr S. 24 Stoev, Stilian A. 23 Anh, Vo V. 22 Beran, Jan 22 Resnick, Sidney Ira 22 Ruiz-Medina, María Dolores 22 Wyłomańska, Agnieszka 21 Marinucci, Domenico 21 Wang, Yizao 20 Koul, Hira Lal 20 Olenko, Andriy Yakovych 19 Didier, Gustavo 19 Reisen, Valdério Anselmo 18 Ginovyan, Mamikon S. 18 Wang, Lihong 17 Maejima, Makoto 17 Mishura, Yuliya Stepanivna 17 Paulauskas, Vygantas Ionovič 17 Roueff, François 17 Shen, Guangjun 17 Yan, Litan 16 Abry, Patrice 16 Bai, Shuyang 16 Bardet, Jean-Marc 16 León, José Rafael R. 14 Dehling, Herold G. 14 Ghosh, Sucharita 14 Lévy Véhel, Jacques 14 Li, Ming 14 Sabzikar, Farzad 13 Aurzada, Frank 13 Chan, Ngai Hang 13 Davis, Richard A. 13 Lopes, Sílvia R. C. 13 Radchenko, Vadym Mykolaĭovych 13 Roy, Parthanil 13 Schulte, Matthias 13 Shevchenko, Georgiy M. 13 Thäle, Christoph 12 Barndorff-Nielsen, Ole Eiler 12 Duan, Jinqiao 12 Gil-Alana, Luis Alberiko 12 Ho, Hwai-Chung 12 Horváth, Lajos 12 Kabluchko, Zakhar A. 12 Klüppelberg, Claudia 12 Kulik, Rafał 12 McElroy, Tucker S. 12 Philippe, Anne 12 Podolskij, Mark 12 Tindel, Samy 12 Viitasaari, Lauri 12 Wu, Wei Biao 11 Biermé, Hermine 11 Dębicki, Krzysztof 11 Kozubowski, Tomasz J. 11 Leipus, Remigijus 11 Lévy-Leduc, Céline 11 Privault, Nicolas 11 Sahakyan, Artur A. 11 Scheffler, Hans-Peter 10 Albin, J. M. P. 10 Beghin, Luisa 10 Bender, Christian 10 Bourguin, Solesne 10 Dedecker, Jérôme 10 Doukhan, Paul 10 Fabozzi, Frank J. 10 Gajda, Janusz 10 Grahovac, Danijel 10 Hidalgo, Javier 10 Hu, Yaozhong 10 Jolis, Maria 10 Lacaux, Céline 10 Mielniczuk, Jan 10 Moulines, Eric 10 Nolan, John P. 10 Palma, Wilfredo 10 Rosiński, Jan 10 Soulier, Philippe 10 Wendler, Martin 10 Zhang, Rongmao 9 Azmoodeh, Ehsan 9 Basse-O’Connor, Andreas ...and 3,174 more Authors all top 5 Cited in 385 Serials 264 Stochastic Processes and their Applications 158 Statistics & Probability Letters 106 Journal of Theoretical Probability 105 Bernoulli 93 The Annals of Probability 85 Journal of Econometrics 74 Journal of Multivariate Analysis 73 Journal of Statistical Planning and Inference 69 The Annals of Statistics 69 Journal of Time Series Analysis 60 Communications in Statistics. 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Series B ...and 285 more Serials all top 5 Cited in 57 Fields 2,370 Probability theory and stochastic processes (60-XX) 1,441 Statistics (62-XX) 309 Game theory, economics, finance, and other social and behavioral sciences (91-XX) 228 Numerical analysis (65-XX) 125 Partial differential equations (35-XX) 108 Statistical mechanics, structure of matter (82-XX) 107 Harmonic analysis on Euclidean spaces (42-XX) 88 Operations research, mathematical programming (90-XX) 81 Dynamical systems and ergodic theory (37-XX) 74 Real functions (26-XX) 62 Measure and integration (28-XX) 58 Computer science (68-XX) 53 Information and communication theory, circuits (94-XX) 46 Ordinary differential equations (34-XX) 45 Functional analysis (46-XX) 38 Systems theory; control (93-XX) 37 Biology and other natural sciences (92-XX) 36 Operator theory (47-XX) 31 Special functions (33-XX) 24 Combinatorics (05-XX) 17 Fluid mechanics (76-XX) 15 Number theory (11-XX) 15 Geophysics (86-XX) 13 Linear and multilinear algebra; matrix theory (15-XX) 13 Calculus of variations and optimal control; optimization (49-XX) 13 Convex and discrete geometry (52-XX) 12 Approximations and expansions (41-XX) 11 Integral transforms, operational calculus (44-XX) 11 Integral equations (45-XX) 10 Quantum theory (81-XX) 8 Differential geometry (53-XX) 6 Global analysis, analysis on manifolds (58-XX) 6 Mechanics of deformable solids (74-XX) 5 General and overarching topics; collections (00-XX) 5 Sequences, series, summability (40-XX) 4 Difference and functional equations (39-XX) 4 Abstract harmonic analysis (43-XX) 3 History and biography (01-XX) 3 Mathematical logic and foundations (03-XX) 3 Group theory and generalizations (20-XX) 3 Functions of a complex variable (30-XX) 3 Astronomy and astrophysics (85-XX) 2 Associative rings and algebras (16-XX) 2 Topological groups, Lie groups (22-XX) 2 Algebraic topology (55-XX) 2 Mechanics of particles and systems (70-XX) 2 Classical thermodynamics, heat transfer (80-XX) 1 Order, lattices, ordered algebraic structures (06-XX) 1 Commutative algebra (13-XX) 1 Algebraic geometry (14-XX) 1 Nonassociative rings and algebras (17-XX) 1 Potential theory (31-XX) 1 Several complex variables and analytic spaces (32-XX) 1 General topology (54-XX) 1 Manifolds and cell complexes (57-XX) 1 Optics, electromagnetic theory (78-XX) 1 Relativity and gravitational theory (83-XX) Citations by Year Wikidata Timeline The data are displayed as stored in Wikidata under a Creative Commons CC0 License. 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