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Author ID: taqqu.murad-s Recent zbMATH articles by "Taqqu, Murad S."
Published as: Taqqu, Murad S.; Taqqu, M. S.; Taqqu, Murad; Taqqu, Murad S. I.; Taqqu, S.
Homepage: http://math.bu.edu/people/murad/
External Links: MGP · Wikidata · GND · IdRef
all top 5

Co-Authors

12 single-authored
25 Pipiras, Vladas
18 Bai, Shuyang
17 Samorodnitsky, Gennady Pinkhosovich
15 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 Peccati, Giovanni
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 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 Nourdin, Ivan
3 Ruiz-Medina, María Dolores
3 Veitch, Darryl
2 Astrauskas, Arvydas
2 Bardet, Jean-Marc
2 Bercu, Bernard
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 Ichiba, Tomoyuki
2 Lang, Gabriel
2 Mandelbrot, Benoit B.
2 Marron, James Stephen
2 Michailidis, George C.
2 Nualart, David
2 Oppenheim, Georges G.
2 Pang, Guodong
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 Zhang, Ting
2 Zhou, Yingchun
1 Adler, Robert Joseph
1 Akashi, Fumiya
1 Babayan, Nikolay M.
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 Jaffard, Stéphane
1 Kaj, Ingemar
1 Kallsen, Jan
1 Karatzas, Ioannis
1 Kardaras, Constantinos
1 Leland, Will E.
1 Mainardi, Francesco
1 Mandelbaum, Avi
1 Meyer, Yves F.
1 Mura, Antonio
1 Oppenheim, George
1 Perrin, Olivier
1 Rajput, Balram S.
1 Riedi, Rolf H.
1 Sahakyan, Artur A.
...and 7 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 PLISKA. Studia Mathematica Bulgarica
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

Publications by Year

Citations contained in zbMATH Open

230 Publications have been cited 6,623 times in 3,860 Documents Cited by Year
Stable non-Gaussian random processes: stochastic models with infinite variance. Zbl 0925.60027
Samorodnitsky, Gennady; Taqqu, Murad S.
1994
Weak convergence to fractional Brownian motion and to the Rosenblatt process. Zbl 0303.60033
Taqqu, Murad S.
404
1975
Convergence of integrated processes of arbitrary Hermite rank. Zbl 0397.60028
Taqqu, Murad S.
293
1979
Large-sample properties of parameter estimates for strongly dependent stationary Gaussian time series. Zbl 0606.62096
Fox, Robert; Taqqu, Murad S.
269
1986
Theory and applications of long-range dependence. Zbl 1005.00017
264
2003
Wiener chaos: Moments, cumulants and diagrams. A survey with computer implementation. Zbl 1231.60003
Peccati, Giovanni; Taqqu, Murad S.
148
2011
Integration questions related to fractional Brownian motion. Zbl 0970.60058
Pipiras, Vladas; Taqqu, Murad S.
133
2000
The empirical process of some long-range dependent sequences with an application to U-statistics. Zbl 0696.60032
Dehling, Herold; Taqqu, Murad S.
118
1989
A practical guide to heavy tails. Statistical techniques and applications. Zbl 0901.00010
114
1998
Estimators for long-range dependence: An empirical study. Zbl 0864.62061
Taqqu, Murad S.; Teverovsky, Vadim; Willinger, Walter
114
1995
Long-range dependence and self-similarity. Zbl 1377.60005
Pipiras, Vladas; Taqqu, Murad S.
103
2017
Law of the iterated logarithm for sums of non-linear functions of Gaussian variables that exhibit a long range dependence. Zbl 0358.60048
Taqqu, Murad S.
91
1977
Stock market prices and long-range dependence. Zbl 0924.90029
Willinger, Walter; Taqqu, Murad S.; Teverovsky, Vadim
79
1999
Noncentral limit theorems and Appell polynomials. Zbl 0624.60049
Avram, Florin; Taqqu, Murad S.
77
1987
Central limit theorems for quadratic forms in random variables having long-range dependence. Zbl 0586.60019
Fox, Robert; Taqqu, Murad S.
70
1987
Are classes of deterministic integrands for fractional Brownian motion on an interval complete? Zbl 1003.60055
Pipiras, Vladas; Taqqu, Murad S.
69
2001
Fractional ARIMA with stable innovations. Zbl 0846.62066
Kokoszka, Piotr S.; Taqqu, Murad S.
68
1995
Fractional Brownian motion and long-range dependence. Zbl 1039.60041
Taqqu, Murad S.
61
2003
Stein’s method and normal approximation of Poisson functionals. Zbl 1195.60037
Peccati, G.; Solé, J. L.; Taqqu, M. S.; Utzet, F.
60
2010
Self-similarity in high-speed packet traffic: analysis and modeling of Ethernet traffic measurements. Zbl 1148.90310
Willinger, Walter; Taqqu, Murad S.; Leland, Will E.; Wilson, Daniel V.
58
1995
Wavelets, generalized white noise and fractional integration: The synthesis of fractional Brownian motion. Zbl 0948.60026
Meyer, Yves; Sellan, Fabrice; Taqqu, Murad S.
53
1999
Parameter estimation for infinite variance fractional ARIMA. Zbl 0896.62092
Kokoszka, Piotr S.; Taqqu, Murad S.
52
1996
Weak convergence of sums of moving averages in the \(\alpha\)-stable domain of attraction. Zbl 0747.60032
Avram, Florin; Taqqu, Murad S.
51
1992
Properties and numerical evaluation of the Rosenblatt distribution. Zbl 1273.60020
Veillette, Mark S.; Taqqu, Murad S.
50
2013
Convergence to fractional Brownian motion and to the telecom process: the integral representation approach. Zbl 1154.60020
Kaj, Ingemar; Taqqu, Murad S.
50
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 1150.62058
Moulines, E.; Roueff, F.; Taqqu, M. S.
37
2007
Extremal stochastic integrals: a parallel between max-stable processes and \(\alpha\)-stable processes. Zbl 1142.60355
Stoev, Stilian A.; Taqqu, Murad S.
37
2005
Estimators of long-memory: Fourier versus wavelets. Zbl 1431.62367
Faÿ, Gilles; Moulines, Eric; Roueff, François; Taqqu, Murad S.
36
2009
Simulation methods for linear fractional stable motion and FARIMA using the fast Fourier transform. Zbl 1083.65005
Stoev, Stilian; Taqqu, Murad S.
36
2004
Robust R/S analysis of long-run serial correlation. Zbl 0518.62036
Mandelbrot, Benoit B.; Taqqu, Murad S.
35
1979
How rich is the class of multifractional Brownian motions? Zbl 1094.60024
Stoev, Stilian A.; Taqqu, Murad S.
35
2006
Regularization and integral representations of Hermite processes. Zbl 1216.60029
Pipiras, Vladas; Taqqu, Murad S.
35
2010
Whittle estimator for finite-variance non-Gaussian time series with long memory. Zbl 0945.62085
Giraitis, Liudas; Taqqu, Murad S.
32
1999
Non-parametric change-point tests for long-range dependent data. Zbl 1259.62028
Dehling, Herold; Rooch, Aeneas; Taqqu, Murad S.
32
2013
Fractional Ornstein-Uhlenbeck Lévy processes and the telecom process: Upstairs and downstairs. Zbl 1160.94370
Wolpert, Robert L.; Taqqu, Murad S.
31
2005
Multifractional processes with random exponent. Zbl 1082.60032
Ayache, Antoine; Taqqu, Murad S.
31
2005
A wavelet Whittle estimator of the memory parameter of a nonstationary Gaussian time series. Zbl 1142.62062
Moulines, E.; Roueff, F.; Taqqu, M. S.
31
2008
Heavy-tailed probability distributions in the World Wide Web. Zbl 0945.62130
Crovella, Mark E.; Taqqu, Murad S.; Bestavros, Azer
30
1998
Self-similarity and long-range dependence through the wavelet lens. Zbl 1029.60028
Abry, Patrice; Flandrin, Patrick; Taqqu, Murad S.; Veitch, Darryl
30
2003
Noncentral limit theorems for quadratic forms in random variables having long-range dependence. Zbl 0569.60016
Fox, Robert; Taqqu, Murad S.
28
1985
Renewal reward processes with heavy-tailed inter-renewal times and heavy-tailed rewards. Zbl 0954.60071
Levy, Joshua B.; Taqqu, Murad S.
28
2000
Rate optimality of wavelet series approximations of fractional Brownian motion. Zbl 1050.60043
Ayache, Antoine; Taqqu, Murad S.
28
2003
Self-similarity and heavy tails: Structural modeling of network traffic. Zbl 0926.90014
Willinger, Walter; Paxson, Vern; Taqqu, Murad S.
28
1998
Multiple stochastic integrals with dependent integrators. Zbl 0649.60064
Fox, Robert; Taqqu, Murad S.
27
1987
On estimating the intensity of long-range dependence in finite and infinite variance time series. Zbl 0922.62091
Taqqu, Murad S.; Teverovsky, Vadim
27
1998
Infinite variance self-similar processes subordinate to a Poisson measure. Zbl 0488.60066
Taqqu, Murad S.; Wolpert, Robert L.
27
1983
Estimation of the self-similarity parameter in linear fractional stable motion. Zbl 1098.94589
Stoev, Stilian; Pipiras, Vladas; Taqqu, Murad S.
26
2002
A critical look at Lo’s modified \(R/S\) statistic. Zbl 1044.60508
Teverovsky, Vadim; Taqqu, Murad S.; Willinger, Walter
26
1999
Stochastic properties of the linear multifractional stable motion. Zbl 1068.60057
Stoev, Stilian; Taqqu, Murad S.
25
2004
Infinite variance stable ARMA processes. Zbl 0804.62082
Kokoszka, Piotr S.; Taqqu, Murad S.
25
1994
A representation for self-similar processes. Zbl 0373.60048
Taqqu, Murad S.
25
1978
Generalized Hermite processes, discrete chaos and limit theorems. Zbl 1282.60043
Bai, Shuyang; Taqqu, Murad S.
25
2014
Testing for long-range dependence in the presence of shifting means or a slowly declining trend, using a variance-type estimator. Zbl 0934.62094
Teverovsky, Vadim; Taqqu, Murad
24
1997
Generators of long-range dependent processes: A survey. Zbl 1031.65010
Bardet, Jean-Marc; Lang, Gabriel; Oppenheim, Georges; Philippe, Anne; Taqqu, Murad S.
24
2003
A bibliographical guide to self-similar processes and long-range dependence. Zbl 0596.60054
Taqqu, Murad S.
23
1986
Multivariate limit theorems in the context of long-range dependence. Zbl 1291.62160
Bai, Shuyang; Taqqu, Murad S.
23
2013
Numerical computation of first-passage times of increasing Lévy processes. Zbl 1213.60094
Veillette, Mark; Taqqu, Murad S.
22
2010
Semi-parametric estimation of the long-range dependence parameter: A survey. Zbl 1032.62077
Bardet, Jean-Marc; Lang, Gabriel; Oppenheim, Georges; Philippe, Anne; Stoev, Stilian; Taqqu, Murad S.
22
2003
Asymptotic properties of \(U\)-processes under long-range dependence. Zbl 1242.62100
Lévy-Leduc, C.; Boistard, H.; Moulines, E.; Taqqu, M. S.; Reisen, V. A.
21
2011
Wavelet construction of generalized multifractional processes. Zbl 1123.60022
Ayache, Antoine; Jaffard, Stéphane; Taqqu, Murad S.
21
2007
Using renewal processes to generate long-range dependence and high variability. Zbl 0601.60085
Taqqu, Murad S.; Levy, Joshua B.
20
1986
Slow, fast and arbitrary growth conditions for renewal-reward processes when both the renewals and the rewards are heavy-tailed. Zbl 1043.60040
Pipiras, Vladas; Taqqu, Murad S.; Levy, Joshua B.
20
2004
Using differential equations to obtain joint moments of first-passage times of increasing Lévy processes. Zbl 1203.60049
Veillette, Mark; Taqqu, Murad S.
20
2010
A noncentral limit theorem for quadratic forms of Gaussian stationary sequences. Zbl 0724.60048
Terrin, Norma; Taqqu, Murad S.
20
1990
Path properties of the linear multifractional stable motion. Zbl 1304.28010
Stoev, Stilian; Taqqu, Murad S.
19
2005
Behavior of the generalized Rosenblatt process at extreme critical exponent values. Zbl 1392.60026
Bai, Shuyang; Taqqu, Murad S.
19
2017
Dependence in probability and statistics. A survey of recent results. (Oberwolfach, 1985). Zbl 0591.00012
19
1986
Asymptotic normality of wavelet estimators of the memory parameter for linear processes. Zbl 1224.62068
Roueff, F.; Taqqu, M. S.
19
2009
The structure of self-similar stable mixed moving averages. Zbl 1016.60057
Pipiras, Vladas; Taqqu, Murad S.
19
2002
Robustness of Whittle-type estimators for time series with long-range dependence. Zbl 1090.62555
Taqqu, Murad S.; Teverovsky, Vadim
19
1997
A bibliographical guide to self-similar traffic and performance modeling for modern high-speed networks. Zbl 0855.60086
Willinger, Walter; Taqqu, Murad S.; Erramilli, Ashok
19
1996
The analysis of finite security markets using martingales. Zbl 0618.60047
Taqqu, Murad S.; Willinger, Walter
18
1987
Long-range dependence and data network traffic. Zbl 1109.60317
Willinger, Walter; Paxson, Vern; Riedi, Rolf H.; Taqqu, Murad S.
18
2003
Robust estimation of the scale and of the autocovariance function of Gaussian short- and long-range dependent processes. Zbl 1290.62082
Lévy-Leduc, Céline; Boistard, Hélène; Moulines, Eric; Taqqu, Murad S.; Reisen, Valderio A.
17
2011
Decoupling inequalities for multilinear forms in independent symmetric random variables. Zbl 0602.60025
McConnell, Terry R.; Taqqu, Murad S.
17
1986
Bivariate symmetric statistics of long-range dependent observations. Zbl 0737.62042
Dehling, Herold; Taqqu, Murad S.
17
1991
Central limit theorem for the log-regression wavelet estimation of the memory parameter in the Gaussian semi-parametric context. Zbl 1141.62073
Moulines, E.; Roueff, F.; Taqqu, Murad S.
17
2007
LASS: a tool for the local analysis of self-similarity. Zbl 1445.62240
Stoev, Stilian; Taqqu, Murad S.; Park, Cheolwoo; Michailidis, George; Marron, J. S.
17
2006
Self-similarity and Lamperti transformation for random fields. Zbl 1125.60046
Genton, Marc G.; Perrin, Olivier; Taqqu, Murad S.
17
2007
Option pricing in ARCH-type models. Zbl 0911.90028
Kallsen, Jan; Taqqu, Murad S.
16
1998
The asymptotic dependence structure of the linear fractional Lévy motion. Zbl 0786.60052
Astrauskas, A.; Lévy, J. B.; Taqqu, M. S.
16
1991
Bounds for the covariance of functions of infinite variance stable random variables with applications to central limit theorems and wavelet-based estimation. Zbl 1129.62021
Pipiras, Vladas; Taqqu, Murad S.; Abry, Patrice
16
2007
On the efficiency of the sample mean in long-memory noise. Zbl 0637.62085
Samarov, Alexander; Taqqu, Murad S.
15
1988
Self-similar processes and related ultraviolet and infrared catastrophes. Zbl 0498.60096
Taqqu, S.
15
1981
Decomposition of self-similar stable mixed moving averages. Zbl 1007.60026
Pipiras, Vladas; Taqqu, Murad S.
15
2002
Fractional calculus and its connections to fractional Brownian motion. Zbl 1031.60047
Pipiras, Vladas; Taqqu, Murad S.
15
2003
Fractional elliptic, hyperbolic and parabolic random fields. Zbl 1231.60045
Leonenko, Nikolai; Ruiz-Medina, María D.; Taqqu, Murad S.
15
2011
Stochastic monotonicity and Slepian-type inequalities for infinitely divisible and stable random vectors. Zbl 0771.60017
Samorodnitsky, Gennady; Taqqu, Murad S.
15
1993
Limit theorems for bivariate Appell polynomials. I: Central limit theorems. Zbl 0873.60007
Giraitis, Liudas; Taqqu, Murad S.
14
1997
Invariance principle for symmetric statistics. Zbl 0547.60039
Mandelbaum, Avi; Taqqu, Murad S.
13
1984
Asymptotic self-similarity and wavelet estimation for long-range dependent fractional autoregressive integrated moving average time series with stable innovations. Zbl 1091.62087
Stoev, Stilian; Taqqu, Murad S.
13
2005
Weak convergence of moving averages with infinite variance. Zbl 0602.60028
Avram, Florin; Taqqu, Murad S.
13
1986
Central limit theorems for quadratic forms with time-domain conditions. Zbl 0943.60018
Giraitis, Liudas; Taqqu, Murad S.
12
1998
Estimating long-range dependence in the presence of periodicity: An empirical study. Zbl 0999.62072
Montanari, A.; Taqqu, M. S.; Teverovsky, V.
12
1999
The limit of a renewal reward process with heavy-tailed rewards is not a linear fractional stable motion. Zbl 0963.60032
Pipiras, Vladas; Taqqu, Murad S.
12
2000
Stable stationary processes related to cyclic flows. Zbl 1054.60056
Pipiras, Vladas; Taqqu, Murad S.
12
2004
Almost sure central limit theorems on the Wiener space. Zbl 1219.60020
Bercu, Bernard; Nourdin, Ivan; Taqqu, Murad S.
12
2010
Central limit theorems for double Poisson integrals. Zbl 1165.60014
Peccati, Giovanni; Taqqu, Murad S.
12
2008
Meaningful MRA initialization for discrete time series. Zbl 1035.94520
Veitch, D.; Taqqu, M. S.; Abry, P.
11
2000
Central limit theorems for partial sums of bounded functionals of infinite-variance moving averages. Zbl 1053.60017
Pipiras, Vladas; Taqqu, Murad S.
11
2003
Path properties of a generalized fractional Brownian motion. Zbl 1495.60023
Ichiba, Tomoyuki; Pang, Guodong; Taqqu, Murad S.
6
2022
Extensions of Rosenblatt’s results on the asymptotic behavior of the prediction error for deterministic stationary sequences. Zbl 1489.60052
Babayan, Nikolay M.; Ginovyan, Mamikon S.; Taqqu, Murad S.
4
2021
Intermittency and infinite variance: the case of integrated supou processes. Zbl 1480.60122
Grahovac, Danijel; Leonenko, Nikolai N.; Taqqu, Murad S.
2
2021
Limit theorems for long-memory flows on Wiener chaos. Zbl 1466.60072
Bai, Shuyang; Taqqu, Murad S.
4
2020
The multifaceted behavior of integrated supOU processes: the infinite variance case. Zbl 1469.60078
Grahovac, Danijel; Leonenko, Nikolai N.; Taqqu, Murad S.
4
2020
The unusual properties of aggregated superpositions of Ornstein-Uhlenbeck type processes. Zbl 1466.60095
Grahovac, Danijel; Leonenko, Nikolai N.; Sikorskii, Alla; Taqqu, Murad S.
11
2019
Limit theorems, scaling of moments and intermittency for integrated finite variance supOU processes. Zbl 1427.60045
Grahovac, Danijel; Leonenko, Nikolai N.; Taqqu, Murad S.
7
2019
Sensitivity of the Hermite rank. Zbl 1412.62114
Bai, Shuyang; Taqqu, Murad S.
4
2019
Four moments theorems on Markov chaos. Zbl 1466.60041
Bourguin, Solesne; Campese, Simon; Leonenko, Nikolai; Taqqu, Murad S.
4
2019
How the instability of ranks under long memory affects large-sample inference. Zbl 1407.62274
Bai, Shuyang; Taqqu, Murad S.
10
2018
Estimation of the covariance function of Gaussian isotropic random fields on spheres, related Rosenblatt-type distributions and the cosmic variance problem. Zbl 1403.62173
Leonenko, Nikolai N.; Taqqu, Murad S.; Terdik, Gyorgy H.
6
2018
Intermittency of trawl processes. Zbl 1406.60052
Grahovac, Danijel; Leonenko, Nikolai N.; Taqqu, Murad S.
4
2018
Estimation pitfalls when the noise is not i.i.d. Zbl 1430.62044
Giraitis, Liudas; Taniguchi, Masanobu; Taqqu, Murad S.
2
2018
\(M\)-periodogram for the analysis of long-range-dependent time series. Zbl 1408.62146
Fajardo, F. A.; Reisen, V. A.; Lévy-Leduc, Celine; Taqqu, M. S.
2
2018
Long-range dependence and self-similarity. Zbl 1377.60005
Pipiras, Vladas; Taqqu, Murad S.
103
2017
Behavior of the generalized Rosenblatt process at extreme critical exponent values. Zbl 1392.60026
Bai, Shuyang; Taqqu, Murad S.
19
2017
Rosenblatt distribution subordinated to Gaussian random fields with long-range dependence. Zbl 1359.60066
Leonenko, N. N.; Ruiz-Medina, M. D.; Taqqu, M. S.
10
2017
Power of change-point tests for long-range dependent data. Zbl 1378.62064
Dehling, Herold; Rooch, Aeneas; Taqqu, Murad S.
8
2017
An \(M\)-estimator for the long-memory parameter. Zbl 1391.62173
Reisen, V. A.; Lévy-Leduc, C.; Taqqu, M. S.
6
2017
Stable non-Gaussian self-similar processes with stationary increments. Zbl 1499.60002
Pipiras, Vladas; Taqqu, Murad S.
6
2017
On the validity of resampling methods under long memory. Zbl 1395.62262
Bai, Shuyang; Taqqu, Murad S.
5
2017
The impact of the diagonals of polynomial forms on limit theorems with long memory. Zbl 1360.60048
Bai, Shuyang; Taqqu, Murad S.
4
2017
Asymptotic normality of quadratic forms of martingale differences. Zbl 06821278
Giraitis, Liudas; Taniguchi, Masanobu; Taqqu, Murad S.
4
2017
Non-central limit theorems for random fields subordinated to gamma-correlated random fields. Zbl 1407.60074
Leonenko, Nikolai; Ruiz-Medina, M. Dolores; Taqqu, Murad S.
2
2017
Limit theorems for quadratic forms of Lévy-driven continuous-time linear processes. Zbl 1333.60024
Bai, Shuyang; Ginovyan, Mamikon S.; Taqqu, Murad S.
11
2016
A unified approach to self-normalized block sampling. Zbl 1338.62123
Bai, Shuyang; Taqqu, Murad S.; Zhang, Ting
6
2016
The universality of homogeneous polynomial forms and critical limits. Zbl 1357.60021
Bai, Shuyang; Taqqu, Murad S.
2
2016
Short-range dependent processes subordinated to the Gaussian may not be strong mixing. Zbl 1345.60034
Bai, Shuyang; Taqqu, Murad S.
1
2016
Weak convergence of the empirical process of intermittent maps in \(\mathbb{L}^{2}\) under long-range dependence. Zbl 1315.60038
Dedecker, Jérôme; Dehling, Herold; Taqqu, Murad S.
8
2015
Scaling properties of the empirical structure function of linear fractional stable motion and estimation of its parameters. Zbl 1319.60080
Grahovac, Danijel; Leonenko, Nikolai N.; Taqqu, Murad S.
5
2015
Functional limit theorems for Toeplitz quadratic functionals of continuous time Gaussian stationary processes. Zbl 1322.60027
Bai, Shuyang; Ginovyan, Mamikon S.; Taqqu, Murad S.
4
2015
Convergence of long-memory discrete \(k\)th order Volterra processes. Zbl 1329.60022
Bai, Shuyang; Taqqu, Murad S.
4
2015
Generalized Hermite processes, discrete chaos and limit theorems. Zbl 1282.60043
Bai, Shuyang; Taqqu, Murad S.
25
2014
Central and non-central limit theorems in a free probability setting. Zbl 1314.46077
Nourdin, Ivan; Taqqu, Murad S.
10
2014
Wavelet estimation of the long memory parameter for Hermite polynomial of Gaussian processes. Zbl 1310.42023
Clausel, M.; Roueff, F.; Taqqu, M. S.; Tudor, C.
10
2014
The trace problem for Toeplitz matrices and operators and its impact in probability. Zbl 1348.60054
Ginovyan, Mamikon S.; Sahakyan, Artur A.; Taqqu, Murad S.
9
2014
Structure of the third moment of the generalized Rosenblatt distribution. Zbl 1301.60047
Bai, Shuyang; Taqqu, Murad S.
4
2014
Asymptotic behavior of the quadratic variation of the sum of two Hermite processes of consecutive orders. Zbl 1333.60072
Clausel, M.; Roueff, F.; Taqqu, M. S.; Tudor, C.
4
2014
The asymptotic codifference and covariation of log-fractional stable noise. Zbl 1311.60054
Levy, Joshua B.; Taqqu, Murad S.
2
2014
Hermite ranks and \(U\)-statistics. Zbl 1282.62182
Lévy-Leduc, C.; Taqqu, M. S.
2
2014
Properties and numerical evaluation of the Rosenblatt distribution. Zbl 1273.60020
Veillette, Mark S.; Taqqu, Murad S.
50
2013
Non-parametric change-point tests for long-range dependent data. Zbl 1259.62028
Dehling, Herold; Rooch, Aeneas; Taqqu, Murad S.
32
2013
Multivariate limit theorems in the context of long-range dependence. Zbl 1291.62160
Bai, Shuyang; Taqqu, Murad S.
23
2013
Benoît Mandelbrot and fractional Brownian motion. Zbl 1332.60008
Taqqu, Murad S.
6
2013
High order chaotic limits of wavelet scalograms under long-range dependence. Zbl 1280.42031
Clausel, M.; Roueff, F.; Taqqu, M. S.; Tudor, C.
5
2013
Long-range dependence and the rank of decompositions. Zbl 1321.60074
Lévy-Leduc, Céline; Taqqu, Murad S.
2
2013
Multivariate limits of multilinear polynomial-form processes with long memory. Zbl 1307.60037
Bai, Shuyang; 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 1236.60027
Veillette, Mark S.; Taqqu, Murad S.
4
2012
Large scale behavior of wavelet coefficients of non-linear subordinated processes with long memory. Zbl 1244.60044
Clausel, Marianne; Roueff, François; Taqqu, Murad S.; Tudor, Ciprian
4
2012
Distribution functions of Poisson random integrals: analysis and computation. Zbl 1253.60069
Veillette, Mark; Taqqu, Murad S.
1
2012
Wiener chaos: Moments, cumulants and diagrams. A survey with computer implementation. Zbl 1231.60003
Peccati, Giovanni; Taqqu, Murad S.
148
2011
Asymptotic properties of \(U\)-processes under long-range dependence. Zbl 1242.62100
Lévy-Leduc, C.; Boistard, H.; Moulines, E.; Taqqu, M. S.; Reisen, V. A.
21
2011
Robust estimation of the scale and of the autocovariance function of Gaussian short- and long-range dependent processes. Zbl 1290.62082
Lévy-Leduc, Céline; Boistard, Hélène; Moulines, Eric; Taqqu, Murad S.; Reisen, Valderio A.
17
2011
Fractional elliptic, hyperbolic and parabolic random fields. Zbl 1231.60045
Leonenko, Nikolai; Ruiz-Medina, María D.; Taqqu, Murad S.
15
2011
Estimating heavy-tail exponents through max self-similarity. Zbl 1366.62041
Stoev, Stilian A.; Michailidis, George; Taqqu, Murad S.
9
2011
Large sample behaviour of some well-known robust estimators under long-range dependence. Zbl 1291.62108
Lévy-Leduc, C.; Boistard, H.; Moulines, E.; Taqqu, M. S.; Reisen, V. A.
9
2011
A technique for computing the PDFs and CDFs of nonnegative infinitely divisible random variables. Zbl 1210.60023
Veillette, Mark S.; Taqqu, Murad S.
8
2011
Maximum penalized quasi-likelihood estimation of the diffusion function. Zbl 1277.91200
Hamrick, Jeff; Huang, Yifei; Kardaras, Constantinos; Taqqu, Murad S.
3
2011
The long-range dependence of linear log-fractional stable motion. Zbl 1331.60066
Levy, Joshua B.; Taqqu, Murad S.
2
2011
Stein’s method and normal approximation of Poisson functionals. Zbl 1195.60037
Peccati, G.; Solé, J. L.; Taqqu, M. S.; Utzet, F.
60
2010
Regularization and integral representations of Hermite processes. Zbl 1216.60029
Pipiras, Vladas; Taqqu, Murad S.
35
2010
Numerical computation of first-passage times of increasing Lévy processes. Zbl 1213.60094
Veillette, Mark; Taqqu, Murad S.
22
2010
Using differential equations to obtain joint moments of first-passage times of increasing Lévy processes. Zbl 1203.60049
Veillette, Mark; Taqqu, Murad S.
20
2010
Almost sure central limit theorems on the Wiener space. Zbl 1219.60020
Bercu, Bernard; Nourdin, Ivan; Taqqu, Murad S.
12
2010
Estimators of long-memory: Fourier versus wavelets. Zbl 1431.62367
Faÿ, Gilles; Moulines, Eric; Roueff, François; Taqqu, Murad S.
36
2009
Asymptotic normality of wavelet estimators of the memory parameter for linear processes. Zbl 1224.62068
Roueff, F.; Taqqu, M. S.
19
2009
Central limit theorems for arrays of decimated linear processes. Zbl 1173.60311
Roueff, F.; Taqqu, M. S.
6
2009
Testing diffusion processes for non-stationarity. Zbl 1173.91025
Hamrick, Jeff; Taqqu, Murad S.
2
2009
Convergence to fractional Brownian motion and to the telecom process: the integral representation approach. Zbl 1154.60020
Kaj, Ingemar; Taqqu, Murad S.
50
2008
A wavelet Whittle estimator of the memory parameter of a nonstationary Gaussian time series. Zbl 1142.62062
Moulines, E.; Roueff, F.; Taqqu, M. S.
31
2008
Central limit theorems for double Poisson integrals. Zbl 1165.60014
Peccati, Giovanni; Taqqu, Murad S.
12
2008
Stable convergence of multiple Wiener–Itô integrals. Zbl 1157.60050
Peccati, Giovanni; Taqqu, Murad S.
10
2008
Limit theorems for multiple stochastic integrals. Zbl 1162.60311
Peccati, Giovanni; Taqqu, Murad S.
4
2008
Wick-Itô formula for regular processes and applications to the Black and Scholes formula. Zbl 1160.60012
Nualart, David; Taqqu, Murad S.
4
2008
Confidence intervals for the long memory parameter based on wavelets and resampling. Zbl 1135.62023
Conti, Pier Luigi; De Giovanni, Livia; Stoev, Stilian A.; Taqqu, Murad S.
3
2008
Small and large scale asymptotics of some Lévy stochastic integrals. Zbl 1140.60324
Pipiras, Vladas; Taqqu, Murad S.
2
2008
The dependence structure of log-fractional stable noise with analogy to fractional Gaussian noise. Zbl 1175.60048
Taqqu, Murad S.; Levy, Joshua B.
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 1150.62058
Moulines, E.; Roueff, F.; Taqqu, M. S.
37
2007
Wavelet construction of generalized multifractional processes. Zbl 1123.60022
Ayache, Antoine; Jaffard, Stéphane; Taqqu, Murad S.
21
2007
Central limit theorem for the log-regression wavelet estimation of the memory parameter in the Gaussian semi-parametric context. Zbl 1141.62073
Moulines, E.; Roueff, F.; Taqqu, Murad S.
17
2007
Self-similarity and Lamperti transformation for random fields. Zbl 1125.60046
Genton, Marc G.; Perrin, Olivier; Taqqu, Murad S.
17
2007
Bounds for the covariance of functions of infinite variance stable random variables with applications to central limit theorems and wavelet-based estimation. Zbl 1129.62021
Pipiras, Vladas; Taqqu, Murad S.; Abry, Patrice
16
2007
Visualization and inference based on wavelet coefficients, SiZer and SiNos. Zbl 1445.62236
Park, Cheolwoo; Godtliebsen, Fred; Taqqu, Murad; Stoev, Stilian; Marron, J. S.
8
2007
Stable convergence of generalized \(L^{2}\) stochastic integrals and the principle of conditioning. Zbl 1139.60024
Peccati, Giovanni; Taqqu, Murad S.
8
2007
Limit theorems for sums of heavy-tailed variables with random dependent weights. Zbl 1134.60028
Stoev, Stilian A.; Taqqu, Murad S.
1
2007
Integral representations of periodic and cyclic fractional stable motions. Zbl 1130.60048
Pipiras, Vladas; Taqqu, Murad S.
1
2007
How rich is the class of multifractional Brownian motions? Zbl 1094.60024
Stoev, Stilian A.; Taqqu, Murad S.
35
2006
LASS: a tool for the local analysis of self-similarity. Zbl 1445.62240
Stoev, Stilian; Taqqu, Murad S.; Park, Cheolwoo; Michailidis, George; Marron, J. S.
17
2006
Wick-Itô formula for Gaussian processes. Zbl 1123.60041
Nualart, David; Taqqu, Murad S.
11
2006
Impact of the sampling rate on the estimation of the parameters of fractional Brownian motion. Zbl 1126.62072
Zhu, Zhengyuan; Taqqu, Murad S.
3
2006
How complete random permutations affect the dependence structure of stationary sequences with long-range dependence. Zbl 1302.60062
Zhou, Yingchun; Taqqu, Murad S.
1
2006
On a Szegö type limit theorem and the asymptotic theory of random sums, integrals and quadratic forms. Zbl 1113.60024
Avram, Florin; Taqqu, Murad S.
1
2006
Extremal stochastic integrals: a parallel between max-stable processes and \(\alpha\)-stable processes. Zbl 1142.60355
Stoev, Stilian A.; Taqqu, Murad S.
37
2005
Fractional Ornstein-Uhlenbeck Lévy processes and the telecom process: Upstairs and downstairs. Zbl 1160.94370
Wolpert, Robert L.; Taqqu, Murad S.
31
2005
Multifractional processes with random exponent. Zbl 1082.60032
Ayache, Antoine; Taqqu, Murad S.
31
2005
Path properties of the linear multifractional stable motion. Zbl 1304.28010
Stoev, Stilian; Taqqu, Murad S.
19
2005
Asymptotic self-similarity and wavelet estimation for long-range dependent fractional autoregressive integrated moving average time series with stable innovations. Zbl 1091.62087
Stoev, Stilian; Taqqu, Murad S.
13
2005
Simulation methods for linear fractional stable motion and FARIMA using the fast Fourier transform. Zbl 1083.65005
Stoev, Stilian; Taqqu, Murad S.
36
2004
Stochastic properties of the linear multifractional stable motion. Zbl 1068.60057
Stoev, Stilian; Taqqu, Murad S.
25
2004
Slow, fast and arbitrary growth conditions for renewal-reward processes when both the renewals and the rewards are heavy-tailed. Zbl 1043.60040
Pipiras, Vladas; Taqqu, Murad S.; Levy, Joshua B.
20
2004
...and 130 more Documents
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Cited by 3,768 Authors

123 Taqqu, Murad S.
70 Leonenko, Nikolai N.
60 Surgailis, Donatas
52 Samorodnitsky, Gennady Pinkhosovich
45 Tudor, Ciprian A.
41 Peccati, Giovanni
37 Meerschaert, Mark Marvin
36 Xiao, Yimin
34 Mikosch, Thomas
34 Pipiras, Vladas
33 Giraitis, Liudas
33 Nourdin, Ivan
33 Nualart, David
33 Wyłomańska, Agnieszka
32 Ayache, Antoine
29 Rachev, Svetlozar T.
28 Robinson, Peter Michael
26 Kokoszka, Piotr S.
25 Marinucci, Domenico
25 Stoev, Stilian A.
24 Beran, Jan
23 Anh, Vo V.
23 Ruiz-Medina, María Dolores
22 Resnick, Sidney Ira
22 Wang, Yizao
21 Ginovyan, Mamikon S.
21 Koul, Hira Lal
20 Abry, Patrice
20 Didier, Gustavo
20 Olenko, Andriy Yakovych
20 Reisen, Valdério Anselmo
19 Shen, Guangjun
19 Wang, Lihong
18 Maejima, Makoto
18 Roueff, François
18 Yan, Litan
17 Bai, Shuyang
17 León, José Rafael R.
17 Mishura, Yuliya Stepanivna
17 Paulauskas, Vygantas Ionovič
16 Bardet, Jean-Marc
16 Duan, Jinqiao
16 Kumar, Arun
16 Radchenko, Vadym Mykolaĭovych
15 Davis, Richard A.
15 Dehling, Herold G.
15 Eliazar, Iddo I.
15 Gajda, Janusz
15 Ghosh, Sucharita
15 Kulik, Rafał
15 Li, Ming
15 Sabzikar, Farzad
14 Aurzada, Frank
14 Gil-Alana, Luis Alberiko
14 Lopes, Sílvia R. C.
14 Podolskij, Mark
14 Privault, Nicolas
14 Schulte, Matthias
14 Shevchenko, Georgiy M.
14 Thäle, Christoph
14 Viitasaari, Lauri
13 Chan, Ngai Hang
13 Klüppelberg, Claudia
13 Lévy Véhel, Jacques
13 Roy, Parthanil
13 Tindel, Samy
12 Barndorff-Nielsen, Ole Eiler
12 Bourguin, Solesne
12 Dybiec, Bartłomiej
12 Ho, Hwai-Chung
12 Horváth, Lajos
12 Kabluchko, Zakhar A.
12 Leipus, Remigijus
12 Philippe, Anne
12 Scheffler, Hans-Peter
12 Wu, Wei Biao
12 Zhang, Rongmao
11 Albin, J. M. P.
11 Bender, Christian
11 Biermé, Hermine
11 Dębicki, Krzysztof
11 Fabozzi, Frank J.
11 Grahovac, Danijel
11 Hu, Yaozhong
11 Kleptsyna, Marina L.
11 Kozubowski, Tomasz J.
11 Krizmanić, Danijel
11 Lahiri, Soumendra Nath
11 Lévy-Leduc, Céline
11 McElroy, Tucker S.
11 Nolan, John P.
11 Palma, Wilfredo
11 Rosiński, Jan
11 Sahakyan, Artur A.
11 Sottinen, Tommi
11 Wendler, Martin
10 Basse-O’Connor, Andreas
10 Beghin, Luisa
10 Bondon, Pascal
10 Dedecker, Jérôme
...and 3,668 more Authors
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Cited in 428 Serials

283 Stochastic Processes and their Applications
172 Statistics & Probability Letters
117 Journal of Theoretical Probability
111 Bernoulli
96 The Annals of Probability
95 Journal of Time Series Analysis
90 Journal of Econometrics
80 Journal of Statistical Planning and Inference
77 Journal of Multivariate Analysis
73 The Annals of Statistics
67 Physica A
63 Communications in Statistics. Theory and Methods
56 Stochastic Analysis and Applications
56 The Annals of Applied Probability
53 Advances in Applied Probability
53 Probability Theory and Related Fields
53 Computational Statistics and Data Analysis
51 Journal of Applied Probability
46 Journal of Mathematical Analysis and Applications
43 Journal of Statistical Computation and Simulation
42 Econometric Theory
40 Electronic Journal of Probability
38 Methodology and Computing in Applied Probability
37 Lithuanian Mathematical Journal
36 Electronic Journal of Statistics
35 Journal of Statistical Physics
35 Chaos, Solitons and Fractals
35 Theory of Probability and Mathematical Statistics
33 Mathematical and Computer Modelling
33 Statistical Inference for Stochastic Processes
31 European Series in Applied and Industrial Mathematics (ESAIM): Probability and Statistics
31 Extremes
31 Stochastics
30 Communications in Statistics. Simulation and Computation
29 Stochastic Models
27 Annales de l’Institut Henri Poincaré. Probabilités et Statistiques
26 Statistical Papers
23 Fractals
23 International Journal of Theoretical and Applied Finance
23 Journal of Applied Statistics
22 Zeitschrift für Wahrscheinlichkeitstheorie und Verwandte Gebiete
22 Economics Letters
22 ALEA. Latin American Journal of Probability and Mathematical Statistics
22 Modern Stochastics. Theory and Applications
21 Statistics
21 Journal of Statistical Mechanics: Theory and Experiment
20 Annals of the Institute of Statistical Mathematics
19 Stochastics and Dynamics
19 Journal of Physics A: Mathematical and Theoretical
18 Journal of Functional Analysis
17 Econometric Reviews
17 Chaos
17 Fractional Calculus & Applied Analysis
17 Statistics and Computing
16 Journal of Computational and Applied Mathematics
16 Queueing Systems
16 Journal of Mathematical Sciences (New York)
15 Journal of the Korean Statistical Society
14 Computational Statistics
14 Journal of Nonparametric Statistics
14 Mathematical Problems in Engineering
14 Communications in Nonlinear Science and Numerical Simulation
14 Quantitative Finance
14 Comptes Rendus. Mathématique. Académie des Sciences, Paris
14 The Annals of Applied Statistics
13 Scandinavian Journal of Statistics
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13 Transactions of the American Mathematical Society
13 Insurance Mathematics & Economics
13 Statistical Methods and Applications
12 Metrika
12 Applied and Computational Harmonic Analysis
11 Computers & Mathematics with Applications
11 Physics Letters. A
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11 Brazilian Journal of Probability and Statistics
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10 Acta Applicandae Mathematicae
10 Random Operators and Stochastic Equations
10 Acta Mathematica Sinica. English Series
10 Frontiers of Mathematics in China
9 Mathematics and Computers in Simulation
9 Probability and Mathematical Statistics
9 Test
9 The Journal of Fourier Analysis and Applications
9 Mathematical Finance
9 Probability Surveys
8 Journal of Mathematical Physics
8 Ukrainian Mathematical Journal
8 Applied Mathematics and Computation
8 Journal of the American Statistical Association
8 Journal of Economic Dynamics & Control
8 Signal Processing
8 Annals of Operations Research
8 Journal of Contemporary Mathematical Analysis. Armenian Academy of Sciences
8 Annals of Physics
8 Nonlinear Dynamics
8 Studies in Nonlinear Dynamics and Econometrics
8 Science China. Mathematics
7 Electronic Communications in Probability
...and 328 more Serials
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Cited in 59 Fields

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