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Peccati, Giovanni

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Author ID: peccati.giovanni Recent zbMATH articles by "Peccati, Giovanni"
Published as: Pecati, Giovanni; Peccati, G.; Peccati, Giovanni
External Links: MGP
Documents Indexed: 99 Publications since 2001, including 4 Books

Publications by Year

Citations contained in zbMATH Open

85 Publications have been cited 1,744 times in 684 Documents Cited by Year
Normal approximations with Malliavin calculus. From Stein’s method to universality. Zbl 1266.60001
Nourdin, Ivan; Peccati, Giovanni
225
2012
Central limit theorems for sequences of multiple stochastic integrals. Zbl 1097.60007
Nualart, David; Peccati, Giovanni
163
2005
Stein’s method on Wiener chaos. Zbl 1175.60053
Nourdin, Ivan; Peccati, Giovanni
132
2009
Random fields on the sphere. Representation, limit theorems and cosmological applications. Zbl 1260.60004
Marinucci, Domenico; Peccati, Giovanni
108
2011
Wiener chaos: Moments, cumulants and diagrams. A survey with computer implementation. Zbl 1231.60003
Peccati, Giovanni; Taqqu, Murad S.
106
2011
Gaussian limits for vector-valued multiple stochastic integrals. Zbl 1063.60027
Peccati, Giovanni; Tudor, Ciprian A.
93
2005
Stein’s method and normal approximation of Poisson functionals. Zbl 1195.60037
Peccati, G.; Solé, J. L.; Taqqu, M. S.; Utzet, F.
41
2010
Stein’s method and exact Berry-Esseen asymptotics for functionals of Gaussian fields. Zbl 1196.60034
Nourdin, Ivan; Peccati, Giovanni
41
2009
Multivariate normal approximation using Stein’s method and Malliavin calculus. Zbl 1196.60035
Nourdin, Ivan; Peccati, Giovanni; Réveillac, Anthony
37
2010
Noncentral convergence of multiple integrals. Zbl 1171.60323
Nourdin, Ivan; Peccati, Giovanni
32
2009
Invariance principles for homogeneous sums: universality of Gaussian Wiener chaos. Zbl 1246.60039
Nourdin, Ivan; Peccati, Giovanni; Reinert, Gesine
30
2010
Non-universality of nodal length distribution for arithmetic random waves. Zbl 1347.60013
Marinucci, Domenico; Peccati, Giovanni; Rossi, Maurizia; Wigman, Igor
26
2016
Stein’s method, logarithmic Sobolev and transport inequalities. Zbl 1350.60013
Ledoux, Michel; Nourdin, Ivan; Peccati, Giovanni
26
2015
The optimal fourth moment theorem. Zbl 1317.60021
Nourdin, Ivan; Peccati, Giovanni
25
2015
Multi-dimensional Gaussian fluctuations on the Poisson space. Zbl 1228.60031
Peccati, Giovanni; Zheng, Cengbo
24
2010
Wigner chaos and the fourth moment. Zbl 1277.46033
Kemp, Todd; Nourdin, Ivan; Peccati, Giovanni; Speicher, Roland
23
2012
On quadratic functionals of the Brownian sheet and related processes. Zbl 1090.60020
Deheuvels, Paul; Peccati, Giovanni; Yor, Marc
23
2006
Entropy and the fourth moment phenomenon. Zbl 1292.94010
Nourdin, Ivan; Peccati, Giovanni; Swan, Yvik
22
2014
Fine Gaussian fluctuations on the Poisson space. II: Rescaled kernels, marked processes and geometric \(U\)-statistics. Zbl 1294.60082
Lachièze-Rey, Raphaël; Peccati, Giovanni
21
2013
Second order Poincaré inequalities and CLTs on Wiener space. Zbl 1186.60047
Nourdin, Ivan; Peccati, Giovanni; Reinert, Gesine
21
2009
Weighted power variations of iterated Brownian motion. Zbl 1193.60028
Nourdin, Ivan; Peccati, Giovanni
21
2008
Cumulants on the Wiener space. Zbl 1203.60064
Nourdin, Ivan; Peccati, Giovanni
20
2010
Normal approximation on Poisson spaces: Mehler’s formula, second order Poincaré inequalities and stabilization. Zbl 1347.60012
Last, Günter; Peccati, Giovanni; Schulte, Matthias
19
2016
Fine Gaussian fluctuations on the Poisson space. I: Contractions, cumulants and geometric random graphs. Zbl 1295.60015
Lachieze-Rey, Raphael; Peccati, Giovanni
18
2013
Quantitative Breuer-Major theorems. Zbl 1225.60045
Nourdin, Ivan; Peccati, Giovanni; Podolskij, Mark
18
2011
Mean-square continuity on homogeneous spaces of compact groups. Zbl 1329.60139
Marinucci, Domenico; Peccati, Giovanni
17
2013
Stein’s method and stochastic analysis of Rademacher functionals. Zbl 1225.60046
Reinert, Gesine D.; Nourdin, Ivan; Peccati, Giovanni
17
2010
Optimal Berry-Esseen rates on the Wiener space: the barrier of third and fourth cumulants. Zbl 1277.60046
Biermé, Hermine; Bonami, Aline; Nourdin, Ivan; Peccati, Giovanni
16
2012
Stein’s method meets Malliavin calculus: a short survey with new estimates. Zbl 1203.60065
Nourdin, Ivan; Peccati, Giovanni
15
2010
Nodal statistics of planar random waves. Zbl 1431.60025
Nourdin, Ivan; Peccati, Giovanni; Rossi, Maurizia
14
2019
Exact confidence intervals for the Hurst parameter of a fractional Brownian motion. Zbl 1326.62065
Breton, Jean-Christophe; Nourdin, Ivan; Peccati, Giovanni
14
2009
Stochastic analysis for Poisson point processes. Malliavin calculus, Wiener-Itô chaos expansions and stochastic geometry. Zbl 1350.60005
Peccati, Giovanni (ed.); Reitzner, Matthias (ed.)
13
2016
New Berry-Esseen bounds for functionals of binomial point processes. Zbl 1374.60023
Lachièze-Rey, Raphaël; Peccati, Giovanni
12
2017
Representations of SO(3) and angular polyspectra. Zbl 1216.60027
Marinucci, D.; Peccati, G.
12
2010
Central limit theorems for double Poisson integrals. Zbl 1165.60014
Peccati, Giovanni; Taqqu, Murad S.
11
2008
High-frequency asymptotics for subordinated stationary fields on an abelian compact group. Zbl 1143.60007
Marinucci, Domenico; Peccati, Giovanni
11
2008
Convergence towards linear combinations of chi-squared random variables: a Malliavin-based approach. Zbl 1337.60018
Azmoodeh, Ehsan; Peccati, Giovanni; Poly, Guillaume
10
2015
Portmanteau inequalities on the Poisson space: mixed regimes and multidimensional clustering. Zbl 1316.60089
Bourguin, Solesne; Peccati, Giovanni
10
2014
Group representations and high-resolution central limit theorems for subordinated spherical random fields. Zbl 1284.60099
Marinucci, Domenico; Peccati, Giovanni
10
2010
Four limit theorems for quadratic functionals of Brownian motion and Brownian bridge. Zbl 1071.60017
Pecati, Giovanni; Yor, Marc
10
2004
Universal Gaussian fluctuations of non-Hermitian matrix ensembles: from weak convergence to almost sure CLTs. Zbl 1276.60026
Nourdin, Ivan; Peccati, Giovanni
9
2010
Asymptotics for posterior hazards. Zbl 1168.62042
de Blasi, Pierpaolo; Peccati, Giovanni; Prünster, Igor
9
2009
Linear and quadratic functionals of random hazard rates: An asymptotic analysis. Zbl 1153.60028
Peccati, Giovanni; Prünster, Igor
9
2008
Phase singularities in complex arithmetic random waves. Zbl 07089009
Dalmao, Federico; Nourdin, Ivan; Peccati, Giovanni; Rossi, Maurizia
8
2019
Quantitative limit theorems for local functionals of arithmetic random waves. Zbl 1408.60022
Peccati, Giovanni; Rossi, Maurizia
8
2018
Gaussian phase transitions and conic intrinsic volumes: steining the Steiner formula. Zbl 1379.60011
Goldstein, Larry; Nourdin, Ivan; Peccati, Giovanni
8
2017
Concentration bounds for geometric Poisson functionals: logarithmic Sobolev inequalities revisited. Zbl 1337.60011
Bachmann, Sascha; Peccati, Giovanni
8
2016
Normal approximations for wavelet coefficients on spherical Poisson fields. Zbl 1306.42056
Durastanti, Claudio; Marinucci, Domenico; Peccati, Giovanni
8
2014
Gamma limits and \(U\)-statistics on the Poisson space. Zbl 1277.60052
Peccati, Giovanni; Thäle, Christoph
8
2013
Decompositions of stochastic processes based on irreducible group representations. Zbl 1229.60039
Peccati, G.; Pycke, J.-R.
8
2009
Stable convergence of multiple Wiener–Itô integrals. Zbl 1157.60050
Peccati, Giovanni; Taqqu, Murad S.
8
2008
Quantitative de Jong theorems in any dimension. Zbl 1357.60023
Döbler, Christian; Peccati, Giovanni
7
2017
Multi-dimensional semicircular limits on the free Wigner chaos. Zbl 1295.46046
Nourdin, Ivan; Peccati, Giovanni; Speicher, Roland
7
2013
Ergodicity and Gaussianity for spherical random fields. Zbl 1310.37022
Marinucci, Domenico; Peccati, Giovanni
7
2010
The Gamma Stein equation and noncentral de Jong theorems. Zbl 1407.60034
Döbler, Christian; Peccati, Giovanni
6
2018
Classical and free fourth moment theorems: universality and thresholds. Zbl 1356.60037
Nourdin, Ivan; Peccati, Giovanni; Poly, Guillaume; Simone, Rosaria
6
2016
Quantitative stable limit theorems on the Wiener space. Zbl 1356.60035
Nourdin, Ivan; Nualart, David; Peccati, Giovanni
6
2016
Universal Gaussian fluctuations on the discrete Poisson chaos. Zbl 1302.60059
Peccati, Giovanni; Zheng, Cengbo
6
2014
Poisson approximations on the free Wigner chaos. Zbl 1281.46057
Nourdin, Ivan; Peccati, Giovanni
6
2013
Multiple integral representation for functionals of Dirichlet processes. Zbl 1175.60072
Peccati, Giovanni
6
2008
Gaussian approximations of multiple integrals. Zbl 1130.60029
Peccati, Giovanni
6
2007
Hardy’s inequality in \(L^2([0,1])\) and principal values of Brownian local times. Zbl 1074.60029
Peccati, Giovanni; Yor, Marc
6
2004
On the convergence of multiple random integrals. Zbl 0997.60032
Peccati, G.
6
2001
The fourth moment theorem on the Poisson space. Zbl 1431.60022
Döbler, Christian; Peccati, Giovanni
5
2018
A Stein deficit for the logarithmic Sobolev inequality. Zbl 1381.60064
Ledoux, Michel; Nourdin, Ivan; Peccati, Giovanni
5
2017
Quantitative CLTs on a Gaussian space: a survey of recent developments. Zbl 1327.60062
Peccati, Giovanni
5
2014
Semicircular limits on the free Poisson chaos: counterexamples to a transfer principle. Zbl 1308.46071
Bourguin, Solesne; Peccati, Giovanni
5
2014
Hoeffding-ANOVA decompositions for symmetric statistics of exchangeable observations. Zbl 1055.62060
Peccati, Giovanni
5
2004
Gaussian approximation of nonlinear statistics on the sphere. Zbl 1383.60024
Bourguin, Solesne; Durastanti, Claudio; Marinucci, Domenico; Peccati, Giovanni
4
2016
Identities in law between quadratic functionals of bivariate Gaussian processes, through Fubini theorems and symmetric projections. Zbl 1116.60013
Peccati, Giovanni; Yor, Marc
4
2006
Hoeffding decompositions for exchangeable sequences and chaotic representation of functionals of Dirichlet processes. Zbl 1036.60028
Peccati, Giovanni
4
2003
On the rate of convergence in de Finetti’s representation theorem. Zbl 1355.60032
Mijoule, Guillaume; Peccati, Giovanni; Swan, Yvik
3
2016
Multidimensional limit theorems for homogeneous sums: a survey and a general transfer principle. Zbl 1356.60038
Nourdin, Ivan; Peccati, Giovanni; Poly, Guillaume; Simone, Rosaria
3
2016
Strong asymptotic independence on Wiener chaos. Zbl 1339.60017
Nourdin, Ivan; Nualart, David; Peccati, Giovanni
3
2016
Limit theorems for multiple stochastic integrals. Zbl 1162.60311
Peccati, Giovanni; Taqqu, Murad S.
3
2008
Hoeffding decompositions and urn sequences. Zbl 1163.60015
El-Dakkak, Omar; Peccati, Giovanni
3
2008
Explicit formulae for time-space Brownian chaos. Zbl 1033.60087
Peccati, Giovanni
3
2003
A representation result for time-space Brownian chaos. Zbl 0990.60081
Peccati, Giovanni
3
2001
Berry-Esseen bounds in the Breuer-major CLT and Gebelein’s inequality. Zbl 07088975
Nourdin, Ivan; Peccati, Giovanni; Yang, Xiaochuan
2
2019
The law of iterated logarithm for subordinated Gaussian sequences: uniform Wasserstein bounds. Zbl 1346.60030
Azmoodeh, Ehsan; Peccati, Giovanni; Poly, Guillaume
2
2016
Multivariate Gaussian approximations on Markov chaoses. Zbl 1345.60012
Campese, Simon; Nourdin, Ivan; Peccati, Giovanni; Poly, Guillaume
2
2016
Squared chaotic random variables: new moment inequalities with applications. Zbl 1355.60013
Malicet, Dominique; Nourdin, Ivan; Peccati, Giovanni; Poly, Guillaume
2
2016
Comparison inequalities on Wiener space. Zbl 1282.60032
Nourdin, Ivan; Peccati, Giovanni; Viens, Frederi G.
2
2014
Martingale structure of Skorohod integral processes. Zbl 1134.60039
Peccati, Giovanni; Thieullen, Michèle; Tudor, Ciprian A.
2
2006
Exchangeable Hoeffding decompositions over finite sets: a combinatorial characterization and counterexamples. Zbl 1298.60042
El-Dakkak, Omar; Peccati, Giovanni; Prünster, Igor
1
2014
Nodal statistics of planar random waves. Zbl 1431.60025
Nourdin, Ivan; Peccati, Giovanni; Rossi, Maurizia
14
2019
Phase singularities in complex arithmetic random waves. Zbl 07089009
Dalmao, Federico; Nourdin, Ivan; Peccati, Giovanni; Rossi, Maurizia
8
2019
Berry-Esseen bounds in the Breuer-major CLT and Gebelein’s inequality. Zbl 07088975
Nourdin, Ivan; Peccati, Giovanni; Yang, Xiaochuan
2
2019
Quantitative limit theorems for local functionals of arithmetic random waves. Zbl 1408.60022
Peccati, Giovanni; Rossi, Maurizia
8
2018
The Gamma Stein equation and noncentral de Jong theorems. Zbl 1407.60034
Döbler, Christian; Peccati, Giovanni
6
2018
The fourth moment theorem on the Poisson space. Zbl 1431.60022
Döbler, Christian; Peccati, Giovanni
5
2018
New Berry-Esseen bounds for functionals of binomial point processes. Zbl 1374.60023
Lachièze-Rey, Raphaël; Peccati, Giovanni
12
2017
Gaussian phase transitions and conic intrinsic volumes: steining the Steiner formula. Zbl 1379.60011
Goldstein, Larry; Nourdin, Ivan; Peccati, Giovanni
8
2017
Quantitative de Jong theorems in any dimension. Zbl 1357.60023
Döbler, Christian; Peccati, Giovanni
7
2017
A Stein deficit for the logarithmic Sobolev inequality. Zbl 1381.60064
Ledoux, Michel; Nourdin, Ivan; Peccati, Giovanni
5
2017
Non-universality of nodal length distribution for arithmetic random waves. Zbl 1347.60013
Marinucci, Domenico; Peccati, Giovanni; Rossi, Maurizia; Wigman, Igor
26
2016
Normal approximation on Poisson spaces: Mehler’s formula, second order Poincaré inequalities and stabilization. Zbl 1347.60012
Last, Günter; Peccati, Giovanni; Schulte, Matthias
19
2016
Stochastic analysis for Poisson point processes. Malliavin calculus, Wiener-Itô chaos expansions and stochastic geometry. Zbl 1350.60005
Peccati, Giovanni (ed.); Reitzner, Matthias (ed.)
13
2016
Concentration bounds for geometric Poisson functionals: logarithmic Sobolev inequalities revisited. Zbl 1337.60011
Bachmann, Sascha; Peccati, Giovanni
8
2016
Classical and free fourth moment theorems: universality and thresholds. Zbl 1356.60037
Nourdin, Ivan; Peccati, Giovanni; Poly, Guillaume; Simone, Rosaria
6
2016
Quantitative stable limit theorems on the Wiener space. Zbl 1356.60035
Nourdin, Ivan; Nualart, David; Peccati, Giovanni
6
2016
Gaussian approximation of nonlinear statistics on the sphere. Zbl 1383.60024
Bourguin, Solesne; Durastanti, Claudio; Marinucci, Domenico; Peccati, Giovanni
4
2016
On the rate of convergence in de Finetti’s representation theorem. Zbl 1355.60032
Mijoule, Guillaume; Peccati, Giovanni; Swan, Yvik
3
2016
Multidimensional limit theorems for homogeneous sums: a survey and a general transfer principle. Zbl 1356.60038
Nourdin, Ivan; Peccati, Giovanni; Poly, Guillaume; Simone, Rosaria
3
2016
Strong asymptotic independence on Wiener chaos. Zbl 1339.60017
Nourdin, Ivan; Nualart, David; Peccati, Giovanni
3
2016
The law of iterated logarithm for subordinated Gaussian sequences: uniform Wasserstein bounds. Zbl 1346.60030
Azmoodeh, Ehsan; Peccati, Giovanni; Poly, Guillaume
2
2016
Multivariate Gaussian approximations on Markov chaoses. Zbl 1345.60012
Campese, Simon; Nourdin, Ivan; Peccati, Giovanni; Poly, Guillaume
2
2016
Squared chaotic random variables: new moment inequalities with applications. Zbl 1355.60013
Malicet, Dominique; Nourdin, Ivan; Peccati, Giovanni; Poly, Guillaume
2
2016
Stein’s method, logarithmic Sobolev and transport inequalities. Zbl 1350.60013
Ledoux, Michel; Nourdin, Ivan; Peccati, Giovanni
26
2015
The optimal fourth moment theorem. Zbl 1317.60021
Nourdin, Ivan; Peccati, Giovanni
25
2015
Convergence towards linear combinations of chi-squared random variables: a Malliavin-based approach. Zbl 1337.60018
Azmoodeh, Ehsan; Peccati, Giovanni; Poly, Guillaume
10
2015
Entropy and the fourth moment phenomenon. Zbl 1292.94010
Nourdin, Ivan; Peccati, Giovanni; Swan, Yvik
22
2014
Portmanteau inequalities on the Poisson space: mixed regimes and multidimensional clustering. Zbl 1316.60089
Bourguin, Solesne; Peccati, Giovanni
10
2014
Normal approximations for wavelet coefficients on spherical Poisson fields. Zbl 1306.42056
Durastanti, Claudio; Marinucci, Domenico; Peccati, Giovanni
8
2014
Universal Gaussian fluctuations on the discrete Poisson chaos. Zbl 1302.60059
Peccati, Giovanni; Zheng, Cengbo
6
2014
Quantitative CLTs on a Gaussian space: a survey of recent developments. Zbl 1327.60062
Peccati, Giovanni
5
2014
Semicircular limits on the free Poisson chaos: counterexamples to a transfer principle. Zbl 1308.46071
Bourguin, Solesne; Peccati, Giovanni
5
2014
Comparison inequalities on Wiener space. Zbl 1282.60032
Nourdin, Ivan; Peccati, Giovanni; Viens, Frederi G.
2
2014
Exchangeable Hoeffding decompositions over finite sets: a combinatorial characterization and counterexamples. Zbl 1298.60042
El-Dakkak, Omar; Peccati, Giovanni; Prünster, Igor
1
2014
Fine Gaussian fluctuations on the Poisson space. II: Rescaled kernels, marked processes and geometric \(U\)-statistics. Zbl 1294.60082
Lachièze-Rey, Raphaël; Peccati, Giovanni
21
2013
Fine Gaussian fluctuations on the Poisson space. I: Contractions, cumulants and geometric random graphs. Zbl 1295.60015
Lachieze-Rey, Raphael; Peccati, Giovanni
18
2013
Mean-square continuity on homogeneous spaces of compact groups. Zbl 1329.60139
Marinucci, Domenico; Peccati, Giovanni
17
2013
Gamma limits and \(U\)-statistics on the Poisson space. Zbl 1277.60052
Peccati, Giovanni; Thäle, Christoph
8
2013
Multi-dimensional semicircular limits on the free Wigner chaos. Zbl 1295.46046
Nourdin, Ivan; Peccati, Giovanni; Speicher, Roland
7
2013
Poisson approximations on the free Wigner chaos. Zbl 1281.46057
Nourdin, Ivan; Peccati, Giovanni
6
2013
Normal approximations with Malliavin calculus. From Stein’s method to universality. Zbl 1266.60001
Nourdin, Ivan; Peccati, Giovanni
225
2012
Wigner chaos and the fourth moment. Zbl 1277.46033
Kemp, Todd; Nourdin, Ivan; Peccati, Giovanni; Speicher, Roland
23
2012
Optimal Berry-Esseen rates on the Wiener space: the barrier of third and fourth cumulants. Zbl 1277.60046
Biermé, Hermine; Bonami, Aline; Nourdin, Ivan; Peccati, Giovanni
16
2012
Random fields on the sphere. Representation, limit theorems and cosmological applications. Zbl 1260.60004
Marinucci, Domenico; Peccati, Giovanni
108
2011
Wiener chaos: Moments, cumulants and diagrams. A survey with computer implementation. Zbl 1231.60003
Peccati, Giovanni; Taqqu, Murad S.
106
2011
Quantitative Breuer-Major theorems. Zbl 1225.60045
Nourdin, Ivan; Peccati, Giovanni; Podolskij, Mark
18
2011
Stein’s method and normal approximation of Poisson functionals. Zbl 1195.60037
Peccati, G.; Solé, J. L.; Taqqu, M. S.; Utzet, F.
41
2010
Multivariate normal approximation using Stein’s method and Malliavin calculus. Zbl 1196.60035
Nourdin, Ivan; Peccati, Giovanni; Réveillac, Anthony
37
2010
Invariance principles for homogeneous sums: universality of Gaussian Wiener chaos. Zbl 1246.60039
Nourdin, Ivan; Peccati, Giovanni; Reinert, Gesine
30
2010
Multi-dimensional Gaussian fluctuations on the Poisson space. Zbl 1228.60031
Peccati, Giovanni; Zheng, Cengbo
24
2010
Cumulants on the Wiener space. Zbl 1203.60064
Nourdin, Ivan; Peccati, Giovanni
20
2010
Stein’s method and stochastic analysis of Rademacher functionals. Zbl 1225.60046
Reinert, Gesine D.; Nourdin, Ivan; Peccati, Giovanni
17
2010
Stein’s method meets Malliavin calculus: a short survey with new estimates. Zbl 1203.60065
Nourdin, Ivan; Peccati, Giovanni
15
2010
Representations of SO(3) and angular polyspectra. Zbl 1216.60027
Marinucci, D.; Peccati, G.
12
2010
Group representations and high-resolution central limit theorems for subordinated spherical random fields. Zbl 1284.60099
Marinucci, Domenico; Peccati, Giovanni
10
2010
Universal Gaussian fluctuations of non-Hermitian matrix ensembles: from weak convergence to almost sure CLTs. Zbl 1276.60026
Nourdin, Ivan; Peccati, Giovanni
9
2010
Ergodicity and Gaussianity for spherical random fields. Zbl 1310.37022
Marinucci, Domenico; Peccati, Giovanni
7
2010
Stein’s method on Wiener chaos. Zbl 1175.60053
Nourdin, Ivan; Peccati, Giovanni
132
2009
Stein’s method and exact Berry-Esseen asymptotics for functionals of Gaussian fields. Zbl 1196.60034
Nourdin, Ivan; Peccati, Giovanni
41
2009
Noncentral convergence of multiple integrals. Zbl 1171.60323
Nourdin, Ivan; Peccati, Giovanni
32
2009
Second order Poincaré inequalities and CLTs on Wiener space. Zbl 1186.60047
Nourdin, Ivan; Peccati, Giovanni; Reinert, Gesine
21
2009
Exact confidence intervals for the Hurst parameter of a fractional Brownian motion. Zbl 1326.62065
Breton, Jean-Christophe; Nourdin, Ivan; Peccati, Giovanni
14
2009
Asymptotics for posterior hazards. Zbl 1168.62042
de Blasi, Pierpaolo; Peccati, Giovanni; Prünster, Igor
9
2009
Decompositions of stochastic processes based on irreducible group representations. Zbl 1229.60039
Peccati, G.; Pycke, J.-R.
8
2009
Weighted power variations of iterated Brownian motion. Zbl 1193.60028
Nourdin, Ivan; Peccati, Giovanni
21
2008
Central limit theorems for double Poisson integrals. Zbl 1165.60014
Peccati, Giovanni; Taqqu, Murad S.
11
2008
High-frequency asymptotics for subordinated stationary fields on an abelian compact group. Zbl 1143.60007
Marinucci, Domenico; Peccati, Giovanni
11
2008
Linear and quadratic functionals of random hazard rates: An asymptotic analysis. Zbl 1153.60028
Peccati, Giovanni; Prünster, Igor
9
2008
Stable convergence of multiple Wiener–Itô integrals. Zbl 1157.60050
Peccati, Giovanni; Taqqu, Murad S.
8
2008
Multiple integral representation for functionals of Dirichlet processes. Zbl 1175.60072
Peccati, Giovanni
6
2008
Limit theorems for multiple stochastic integrals. Zbl 1162.60311
Peccati, Giovanni; Taqqu, Murad S.
3
2008
Hoeffding decompositions and urn sequences. Zbl 1163.60015
El-Dakkak, Omar; Peccati, Giovanni
3
2008
Gaussian approximations of multiple integrals. Zbl 1130.60029
Peccati, Giovanni
6
2007
On quadratic functionals of the Brownian sheet and related processes. Zbl 1090.60020
Deheuvels, Paul; Peccati, Giovanni; Yor, Marc
23
2006
Identities in law between quadratic functionals of bivariate Gaussian processes, through Fubini theorems and symmetric projections. Zbl 1116.60013
Peccati, Giovanni; Yor, Marc
4
2006
Martingale structure of Skorohod integral processes. Zbl 1134.60039
Peccati, Giovanni; Thieullen, Michèle; Tudor, Ciprian A.
2
2006
Central limit theorems for sequences of multiple stochastic integrals. Zbl 1097.60007
Nualart, David; Peccati, Giovanni
163
2005
Gaussian limits for vector-valued multiple stochastic integrals. Zbl 1063.60027
Peccati, Giovanni; Tudor, Ciprian A.
93
2005
Four limit theorems for quadratic functionals of Brownian motion and Brownian bridge. Zbl 1071.60017
Pecati, Giovanni; Yor, Marc
10
2004
Hardy’s inequality in \(L^2([0,1])\) and principal values of Brownian local times. Zbl 1074.60029
Peccati, Giovanni; Yor, Marc
6
2004
Hoeffding-ANOVA decompositions for symmetric statistics of exchangeable observations. Zbl 1055.62060
Peccati, Giovanni
5
2004
Hoeffding decompositions for exchangeable sequences and chaotic representation of functionals of Dirichlet processes. Zbl 1036.60028
Peccati, Giovanni
4
2003
Explicit formulae for time-space Brownian chaos. Zbl 1033.60087
Peccati, Giovanni
3
2003
On the convergence of multiple random integrals. Zbl 0997.60032
Peccati, G.
6
2001
A representation result for time-space Brownian chaos. Zbl 0990.60081
Peccati, Giovanni
3
2001
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Cited by 698 Authors

59 Peccati, Giovanni
48 Nourdin, Ivan
34 Nualart, David
33 Marinucci, Domenico
32 Tudor, Ciprian A.
26 Taqqu, Murad S.
22 Leonenko, Nikolai N.
15 Poly, Guillaume
15 Thäle, Christoph
13 Durastanti, Claudio
13 Schulte, Matthias
12 Azmoodeh, Ehsan
12 Kim, Yoontae
12 Rossi, Maurizia
12 Wigman, Igor
11 Bai, Shuyang
11 Park, Hyun Suk
11 Privault, Nicolas
10 Cammarota, Valentina
10 Gaunt, Robert Edward
9 Olenko, Andriy Yakovych
9 Swan, Yvik C.
9 Viens, Frederi G.
9 Viitasaari, Lauri
8 Bourguin, Solesne
8 Es-Sebaiy, Khalifa
8 Lan, Xiaohong
8 Last, Günter
8 Prünster, Igor
8 Ruiz-Medina, María Dolores
7 Lijoi, Antonio
7 Podolskij, Mark
7 Porcu, Emilio
6 Corcuera, José Manuel
6 Dalmao, Federico
6 Fathi, Max
6 Hu, Yaozhong
6 Hug, Daniel
6 Kemp, Todd A.
6 León, José Rafael R.
6 Tindel, Samy
6 Zheng, Guangqu
5 Anh, Vo V.
5 Arras, Benjamin
5 Bouzebda, Salim
5 Cheng, Dan
5 Deheuvels, Paul
5 Döbler, Christian
5 Liu, Junfeng
5 Malyarenko, Anatoliy A.
5 Reinert, Gesine D.
5 Réveillac, Anthony
5 Vadlamani, Sreekar
4 Baldi, Paolo
4 Bally, Vlad
4 Caramellino, Lucia
4 Cho, Ilwoo
4 Decreusefond, Laurent
4 Deya, Aurélien
4 D’Ovidio, Mirko
4 Duerinckx, Mitia
4 Estrade, Anne
4 Ginovyan, Mamikon S.
4 Harnett, Daniel
4 Lachièze-Rey, Raphaël
4 Pakkanen, Mikko S.
4 Reitzner, Matthias
4 Slaoui, Meryem
4 Utzet, Frederic
4 Vaskovych, Volodymyr
4 Wang, Caishi
4 Xiao, Yimin
4 Yan, Litan
3 Alegria, Alfredo
3 Azaïs, Jean-Marc
3 Barndorff-Nielsen, Ole Eiler
3 Beneš, Viktor
3 Bogachev, Vladimir Igorevich
3 Breton, Jean-Christophe
3 Campese, Simon
3 Chen, Louis Hsiao-Yun
3 Coeurjolly, Jean-François
3 Courtade, Thomas A.
3 Fang, Xiao
3 Gloria, Antoine
3 Ivanov, Aleksandr Vladimirovich
3 James, Lancelot F.
3 Jørgensen, Palle E. T.
3 Kosov, Egor D.
3 Kubilius, Kȩstutis
3 Lang, Annika
3 Ledoux, Michel
3 Liu, Yanghui
3 Ma, Chunsheng
3 Mijoule, Guillaume
3 Nane, Erkan
3 Neuenkirch, Andreas
3 Pesenson, Isaac Zalmanovich
3 Pipiras, Vladas
3 Pratelli, Luca
...and 598 more Authors
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Cited in 143 Serials

69 Stochastic Processes and their Applications
38 The Annals of Probability
37 Bernoulli
28 Statistics & Probability Letters
26 Journal of Theoretical Probability
21 Journal of Mathematical Analysis and Applications
18 Electronic Journal of Statistics
17 Probability Theory and Related Fields
17 Annales de l’Institut Henri Poincaré. Probabilités et Statistiques
15 Journal of Functional Analysis
15 Electronic Journal of Probability
14 Journal of Multivariate Analysis
14 The Annals of Applied Probability
13 Statistical Inference for Stochastic Processes
10 Journal of Mathematical Physics
10 Proceedings of the American Mathematical Society
10 Stochastic Analysis and Applications
10 ALEA. Latin American Journal of Probability and Mathematical Statistics
9 Journal of Statistical Physics
9 Journal of Applied Probability
9 Stochastics and Dynamics
9 Journal of the Korean Statistical Society
8 Advances in Applied Probability
8 Communications in Mathematical Physics
8 Theory of Probability and Mathematical Statistics
8 Methodology and Computing in Applied Probability
7 Journal of Statistical Planning and Inference
7 Communications in Statistics. Theory and Methods
7 Applied and Computational Harmonic Analysis
7 Infinite Dimensional Analysis, Quantum Probability and Related Topics
7 Brazilian Journal of Probability and Statistics
6 European Series in Applied and Industrial Mathematics (ESAIM): Probability and Statistics
6 Stochastic and Partial Differential Equations. Analysis and Computations
5 Electronic Communications in Probability
4 The Annals of Statistics
4 Transactions of the American Mathematical Society
4 Potential Analysis
4 Extremes
4 Modern Stochastics. Theory and Applications
3 Lithuanian Mathematical Journal
3 Advances in Mathematics
3 Results in Mathematics
3 Advances in Applied Mathematics
3 Statistics
3 Discrete & Computational Geometry
3 Geometric and Functional Analysis. GAFA
3 Random Operators and Stochastic Equations
3 The Journal of Fourier Analysis and Applications
3 Abstract and Applied Analysis
3 Comptes Rendus. Mathématique. Académie des Sciences, Paris
2 Theory of Probability and its Applications
2 Acta Mathematica Vietnamica
2 Illinois Journal of Mathematics
2 Journal of the American Statistical Association
2 Journal of Econometrics
2 Journal of Time Series Analysis
2 Journal of Complexity
2 Statistical Science
2 Computational Statistics and Data Analysis
2 Test
2 Mathematical Methods of Statistics
2 Annales Henri Poincaré
2 Decisions in Economics and Finance
2 Stochastics
2 The Annals of Applied Statistics
2 Mathematical Geosciences
2 Probability Surveys
2 International Journal of Stochastic Analysis
2 Cogent Mathematics
2 Korean Journal of Mathematics
1 Archive for Rational Mechanics and Analysis
1 Communications on Pure and Applied Mathematics
1 Israel Journal of Mathematics
1 Journal d’Analyse Mathématique
1 Letters in Mathematical Physics
1 Nonlinearity
1 Periodica Mathematica Hungarica
1 Russian Mathematical Surveys
1 Scandinavian Journal of Statistics
1 Studia Mathematica
1 ZAMP. Zeitschrift für angewandte Mathematik und Physik
1 Chaos, Solitons and Fractals
1 Applied Mathematics and Optimization
1 Collectanea Mathematica
1 Duke Mathematical Journal
1 Indiana University Mathematics Journal
1 Journal of Approximation Theory
1 Kybernetika
1 Monatshefte für Mathematik
1 Osaka Journal of Mathematics
1 Theoretical Population Biology
1 Insurance Mathematics & Economics
1 Bulletin of the Korean Mathematical Society
1 Circuits, Systems, and Signal Processing
1 Probability and Mathematical Statistics
1 Journal of Economic Dynamics & Control
1 SIAM Journal on Discrete Mathematics
1 Random Structures & Algorithms
1 The Journal of Geometric Analysis
1 Applications of Mathematics
...and 43 more Serials
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Cited in 49 Fields

598 Probability theory and stochastic processes (60-XX)
194 Statistics (62-XX)
46 Partial differential equations (35-XX)
40 Harmonic analysis on Euclidean spaces (42-XX)
35 Functional analysis (46-XX)
32 Special functions (33-XX)
30 Numerical analysis (65-XX)
19 Real functions (26-XX)
17 Combinatorics (05-XX)
17 Game theory, economics, finance, and other social and behavioral sciences (91-XX)
16 Statistical mechanics, structure of matter (82-XX)
13 Operator theory (47-XX)
13 Convex and discrete geometry (52-XX)
13 Global analysis, analysis on manifolds (58-XX)
11 Differential geometry (53-XX)
11 Quantum theory (81-XX)
10 Astronomy and astrophysics (85-XX)
10 Information and communication theory, circuits (94-XX)
7 Linear and multilinear algebra; matrix theory (15-XX)
6 Measure and integration (28-XX)
6 Dynamical systems and ergodic theory (37-XX)
6 Approximations and expansions (41-XX)
6 Abstract harmonic analysis (43-XX)
5 Number theory (11-XX)
5 Functions of a complex variable (30-XX)
5 Algebraic topology (55-XX)
5 Computer science (68-XX)
5 Systems theory; control (93-XX)
4 Group theory and generalizations (20-XX)
4 Geophysics (86-XX)
3 Algebraic geometry (14-XX)
3 Ordinary differential equations (34-XX)
3 Fluid mechanics (76-XX)
3 Relativity and gravitational theory (83-XX)
2 Topological groups, Lie groups (22-XX)
2 Difference and functional equations (39-XX)
2 Calculus of variations and optimal control; optimization (49-XX)
2 Manifolds and cell complexes (57-XX)
2 Biology and other natural sciences (92-XX)
1 General and overarching topics; collections (00-XX)
1 History and biography (01-XX)
1 Order, lattices, ordered algebraic structures (06-XX)
1 Commutative algebra (13-XX)
1 Potential theory (31-XX)
1 Several complex variables and analytic spaces (32-XX)
1 Integral transforms, operational calculus (44-XX)
1 Mechanics of deformable solids (74-XX)
1 Optics, electromagnetic theory (78-XX)
1 Operations research, mathematical programming (90-XX)

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