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Vitale, Richard A.

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Author ID: vitale.richard-a Recent zbMATH articles by "Vitale, Richard A."
Published as: Vitale, Richard A.; Vitale, R. A.
Documents Indexed: 53 Publications since 1973
Reviewing Activity: 8 Reviews

Publications by Year

Citations contained in zbMATH Open

45 Publications have been cited 468 times in 392 Documents Cited by Year
A strong law of large numbers for random compact sets. Zbl 0313.60012
Artstein, Zvi; Vitale, Richard A.
97
1975
Polygonal approximation of plane convex bodies. Zbl 0315.52004
McClure, Donald E.; Vitale, Richard A.
53
1975
Asymptotic distribution of symmetric statistics. Zbl 0422.62016
Rubin, H.; Vitale, R. A.
49
1980
\(L_p\) metrics for compact convex sets. Zbl 0595.52005
Vitale, Richard A.
42
1985
Approximation of convex set-valued functions. Zbl 0422.41016
Vitale, Richard A.
25
1979
Regular simplices and Gaussian samples. Zbl 0795.52002
Baryshnikov, Yuliy M.; Vitale, Richard A.
22
1994
The Wills functional and Gaussian processes. Zbl 0879.60036
Vitale, Richard A.
15
1996
The Steiner point in infinite dimensions. Zbl 0588.52001
Vitale, Richard A.
12
1985
On the Gaussian representation of intrinsic volumes. Zbl 1145.60022
Vitale, R. A.
12
2008
Some comparisons for Gaussian processes. Zbl 0955.60036
Vitale, Richard A.
11
2000
Covariances of symmetric statistics. Zbl 0759.62021
Vitale, Richard A.
10
1992
A Bernstein polynomial approach to density function estimation. Zbl 0326.62027
Vitale, Richard A.
10
1975
Expected absolute random determinants and zonoids. Zbl 0739.15015
Vitale, Richard A.
9
1991
On stochastic dependence and a class of degenerate distributions. Zbl 0770.60013
Vitale, Richard A.
9
1990
Intrinsic volumes and Gaussian processes. Zbl 0994.60039
Vitale, Richard A.
9
2001
On the deterministic and stochastic approximation of regions. Zbl 0355.41032
Davis, P. J.; Vitale, R. A.; Ben-Sabar, E.
7
1977
A differential version of the Efron-Stein inequality: Bounding the variance of a function of an infinitely divisible variable. Zbl 0664.60025
Vitale, Richard A.
6
1988
A log-concavity proof for a Gaussian exponential bound. Zbl 0934.60033
Vitale, Richard A.
6
1999
The Brunn-Minkowski inequality for random sets. Zbl 0705.60013
Vitale, Richard A.
5
1990
Independence and determination of probabilities. Zbl 0888.60005
Chen, Zhiqiang; Rubin, Herman; Vitale, Richard A.
5
1997
Expected convex hulls, order statistics, and Banach space probabilities. Zbl 0641.60015
Vitale, Richard A.
5
1987
Intrinsic volumes of the Brownian motion body. Zbl 0986.60006
Gao, F.; Vitale, R. A.
4
2001
On the volume of parallel bodies: A probabilistic derivation of the Steiner formula. Zbl 0827.52005
Vitale, Richard A.
4
1995
Approximation by mutually completely dependent processes. Zbl 0734.60038
Vitale, Richard A.
4
1991
Covariance identities for normal variables via convex polytopes. Zbl 0878.60004
Vitale, Richard A.
3
1996
Minkowski iteration of sets. Zbl 0431.15004
Najfeld, Igor; Vitale, Richard A.; Davis, Philip J.
3
1980
Positivity of stable densities. Zbl 0648.60016
Port, S. C.; Vitale, R. A.
3
1988
An asymptotically efficient estimate in time series analysis. Zbl 0271.62116
Vitale, Richard A.
3
1973
Conditions on the regression function when both variables are uniformly distributed. Zbl 0343.62054
Vitale, R. A.; Pipkin, A. C.
3
1976
Some developments in the theory of random sets. Zbl 0574.60018
Vitale, Richard A.
3
1983
Random convex hulls: Floating bodies and expectations. Zbl 0795.60008
Bárány, I.; Vitale, R. A.
2
1993
Asymptotic behavior of a set-statistic. Zbl 1008.60023
Bonetti, M.; Vitale, R. A.
2
2000
The Wills functional for Poisson processes. Zbl 1283.60070
Vitale, Richard A.; Wang, Yazhen
2
2008
Concentration of random polytopes around the expected convex hull. Zbl 1314.60044
Fresen, Daniel J.; Vitale, Richard A.
2
2014
Stochastic smoothing of convex bodies: Two examples. Zbl 0808.52005
Vitale, Richard A.
1
1994
Geometric probability. Zbl 0513.60019
Vitale, Richard A.
1
1980
The translative expectation of a random set. Zbl 0754.60021
Vitale, Richard A.
1
1991
Orthogonally invariant sequences as Gaussian scale mixtures: An alternate proof. Zbl 0771.62002
Vitale, Richard A.
1
1993
A class of bounds for convex bodies in Hilbert space. Zbl 0776.52003
Vitale, Richard A.
1
1993
Regression with given marginals. Zbl 0401.62053
Vitale, Richard A.
1
1979
Convex bodies and Gaussian processes. Zbl 1200.60031
Vitale, Richard A.
1
2010
A question of geometry and probability. Zbl 1268.52006
Vitale, Richard A.
1
2004
On Gaussian random sets. Zbl 0559.60015
Vitale, Richard A.
1
1984
On an exponential functional for Gaussian processes and its geometric foundations. Zbl 1415.60038
Vitale, R. A.
1
2019
On the bias of the jackknife estimate of variance. Zbl 1400.62089
Vitale, Richard A.
1
1992
On an exponential functional for Gaussian processes and its geometric foundations. Zbl 1415.60038
Vitale, R. A.
1
2019
Concentration of random polytopes around the expected convex hull. Zbl 1314.60044
Fresen, Daniel J.; Vitale, Richard A.
2
2014
Convex bodies and Gaussian processes. Zbl 1200.60031
Vitale, Richard A.
1
2010
On the Gaussian representation of intrinsic volumes. Zbl 1145.60022
Vitale, R. A.
12
2008
The Wills functional for Poisson processes. Zbl 1283.60070
Vitale, Richard A.; Wang, Yazhen
2
2008
A question of geometry and probability. Zbl 1268.52006
Vitale, Richard A.
1
2004
Intrinsic volumes and Gaussian processes. Zbl 0994.60039
Vitale, Richard A.
9
2001
Intrinsic volumes of the Brownian motion body. Zbl 0986.60006
Gao, F.; Vitale, R. A.
4
2001
Some comparisons for Gaussian processes. Zbl 0955.60036
Vitale, Richard A.
11
2000
Asymptotic behavior of a set-statistic. Zbl 1008.60023
Bonetti, M.; Vitale, R. A.
2
2000
A log-concavity proof for a Gaussian exponential bound. Zbl 0934.60033
Vitale, Richard A.
6
1999
Independence and determination of probabilities. Zbl 0888.60005
Chen, Zhiqiang; Rubin, Herman; Vitale, Richard A.
5
1997
The Wills functional and Gaussian processes. Zbl 0879.60036
Vitale, Richard A.
15
1996
Covariance identities for normal variables via convex polytopes. Zbl 0878.60004
Vitale, Richard A.
3
1996
On the volume of parallel bodies: A probabilistic derivation of the Steiner formula. Zbl 0827.52005
Vitale, Richard A.
4
1995
Regular simplices and Gaussian samples. Zbl 0795.52002
Baryshnikov, Yuliy M.; Vitale, Richard A.
22
1994
Stochastic smoothing of convex bodies: Two examples. Zbl 0808.52005
Vitale, Richard A.
1
1994
Random convex hulls: Floating bodies and expectations. Zbl 0795.60008
Bárány, I.; Vitale, R. A.
2
1993
Orthogonally invariant sequences as Gaussian scale mixtures: An alternate proof. Zbl 0771.62002
Vitale, Richard A.
1
1993
A class of bounds for convex bodies in Hilbert space. Zbl 0776.52003
Vitale, Richard A.
1
1993
Covariances of symmetric statistics. Zbl 0759.62021
Vitale, Richard A.
10
1992
On the bias of the jackknife estimate of variance. Zbl 1400.62089
Vitale, Richard A.
1
1992
Expected absolute random determinants and zonoids. Zbl 0739.15015
Vitale, Richard A.
9
1991
Approximation by mutually completely dependent processes. Zbl 0734.60038
Vitale, Richard A.
4
1991
The translative expectation of a random set. Zbl 0754.60021
Vitale, Richard A.
1
1991
On stochastic dependence and a class of degenerate distributions. Zbl 0770.60013
Vitale, Richard A.
9
1990
The Brunn-Minkowski inequality for random sets. Zbl 0705.60013
Vitale, Richard A.
5
1990
A differential version of the Efron-Stein inequality: Bounding the variance of a function of an infinitely divisible variable. Zbl 0664.60025
Vitale, Richard A.
6
1988
Positivity of stable densities. Zbl 0648.60016
Port, S. C.; Vitale, R. A.
3
1988
Expected convex hulls, order statistics, and Banach space probabilities. Zbl 0641.60015
Vitale, Richard A.
5
1987
\(L_p\) metrics for compact convex sets. Zbl 0595.52005
Vitale, Richard A.
42
1985
The Steiner point in infinite dimensions. Zbl 0588.52001
Vitale, Richard A.
12
1985
On Gaussian random sets. Zbl 0559.60015
Vitale, Richard A.
1
1984
Some developments in the theory of random sets. Zbl 0574.60018
Vitale, Richard A.
3
1983
Asymptotic distribution of symmetric statistics. Zbl 0422.62016
Rubin, H.; Vitale, R. A.
49
1980
Minkowski iteration of sets. Zbl 0431.15004
Najfeld, Igor; Vitale, Richard A.; Davis, Philip J.
3
1980
Geometric probability. Zbl 0513.60019
Vitale, Richard A.
1
1980
Approximation of convex set-valued functions. Zbl 0422.41016
Vitale, Richard A.
25
1979
Regression with given marginals. Zbl 0401.62053
Vitale, Richard A.
1
1979
On the deterministic and stochastic approximation of regions. Zbl 0355.41032
Davis, P. J.; Vitale, R. A.; Ben-Sabar, E.
7
1977
Conditions on the regression function when both variables are uniformly distributed. Zbl 0343.62054
Vitale, R. A.; Pipkin, A. C.
3
1976
A strong law of large numbers for random compact sets. Zbl 0313.60012
Artstein, Zvi; Vitale, Richard A.
97
1975
Polygonal approximation of plane convex bodies. Zbl 0315.52004
McClure, Donald E.; Vitale, Richard A.
53
1975
A Bernstein polynomial approach to density function estimation. Zbl 0326.62027
Vitale, Richard A.
10
1975
An asymptotically efficient estimate in time series analysis. Zbl 0271.62116
Vitale, Richard A.
3
1973
all top 5

Cited by 454 Authors

18 Vitale, Richard A.
12 Molchanov, Ilya S.
10 Gil, María Angeles
9 Dyn, Nira
8 González-Rodríguez, Gil
8 López-Díaz, Miguel
8 Peccati, Giovanni
8 Terán, Pedro
8 Xu, Huifu
7 Farkhi, Elza M.
7 Li, Shoumei
6 Colubi, Ana
6 Diamond, Phil
6 Kabluchko, Zakhar A.
6 Lubiano, María Asunción
6 Pivovarov, Peter
6 Schneider, Rolf G.
6 Sinova, Beatriz
5 Blanco-Fernández, Angela
5 Paouris, Grigoris
5 Ralescu, Dan A.
4 Böröczky, Karoly jun.
4 Corral, Norberto
4 de la Rosa de Sáa, Sara
4 Durante, Fabrizio
4 Gruber, Peter Manfred
4 Janson, Svante
4 Leng, Gangsong
4 Mokhov, Alona
4 Montenegro, Manuel
4 Puri, Madan Lal
4 Ramos-Guajardo, Ana Belén
4 Schürger, Klaus
4 Thäle, Christoph
4 Trutschnig, Wolfgang
4 Zaporozhets, Dmitry
3 Adamczak, Radosław
3 Arcones, Miguel A.
3 Arnold, Randolf
3 Artstein, Zvi
3 Ayala, Guillermo
3 Brunel, Victor-Emmanuel
3 Casals, María Rosa
3 Döbler, Christian
3 Fernández-Sánchez, Juan
3 Fu, Ke’ang
3 García-Bárzana, Marta
3 Gardner, Richard J.
3 Giné-Masdéu, Evarist
3 Goodey, Paul R.
3 Götze, Friedrich W.
3 Houdré, Christian
3 Inoue, Hiroshi
3 Kels, Shay
3 Kim, Yun Kyong
3 Latała, Rafał
3 López, María Teresa
3 Ludwig, Monika
3 Lutwak, Erwin
3 Müller, Josef S.
3 Ogura, Yukio
3 Rempała, Grzegorz A.
3 Salas, Antonia
3 Shiflett, Ray C.
3 Van Aelst, Stefan
3 Weil, Wolfgang
3 Zhao, Changjian
2 Alonso-Gutiérrez, David
2 Andres, Jan
2 Babenko, Viktor V.
2 Babenko, Vladyslav Fedorovych
2 Baier, Robert
2 Bárány, Imre
2 Berdysheva, Elena E.
2 Bikchentaev, Aĭrat Midkhatovich
2 Borisov, Igor S.
2 Cacoullos, Theophilos
2 Cheng, Cheng
2 Choirat, Christine
2 Cuevas, Antonio
2 Davis, Philip J.
2 Dębicki, Krzysztof
2 Diaye, Marc-Arthur
2 El-Dakkak, Omar
2 Giap, Duong Xuan
2 Goh, Mark
2 Grote, Julian
2 Joo, Sang Yeol
2 Kaiser, Mark J.
2 Kaśkosz, Barbara
2 Kasprzak, Mikołaj J.
2 Kenderov, Petar Stojanov
2 Koshevoy, Gleb A.
2 Kratschmer, Volker
2 Kwon, Joong Sung
2 Li, Qiyu
2 Mainik, Georg
2 Meng, Fanwen
2 Mikusiński, Piotr
2 Nourdin, Ivan
...and 354 more Authors
all top 5

Cited in 125 Serials

25 Fuzzy Sets and Systems
24 Statistics & Probability Letters
22 Journal of Mathematical Analysis and Applications
16 Journal of Approximation Theory
16 Journal of Theoretical Probability
15 Journal of Multivariate Analysis
11 The Annals of Probability
11 Information Sciences
8 Zeitschrift für Wahrscheinlichkeitstheorie und Verwandte Gebiete
8 Stochastic Processes and their Applications
7 Advances in Mathematics
7 The Annals of Statistics
7 Proceedings of the American Mathematical Society
7 Transactions of the American Mathematical Society
7 Probability Theory and Related Fields
7 Discrete & Computational Geometry
7 Computational Statistics and Data Analysis
5 Mathematika
4 Ukrainian Mathematical Journal
4 Annals of the Institute of Statistical Mathematics
4 Journal of Optimization Theory and Applications
4 Journal of Statistical Planning and Inference
4 Monatshefte für Mathematik
4 Journal of Mathematical Sciences (New York)
4 Electronic Journal of Probability
4 Bernoulli
3 Advances in Applied Probability
3 Metrika
3 Geometriae Dedicata
3 Journal of Computational and Applied Mathematics
3 Stochastic Analysis and Applications
3 International Journal of Approximate Reasoning
3 Applied Mathematics Letters
3 Communications in Statistics. Theory and Methods
3 Mathematical Programming. Series A. Series B
3 Set-Valued Analysis
3 Communications in Contemporary Mathematics
3 Set-Valued and Variational Analysis
2 International Journal of Theoretical Physics
2 Mathematical Proceedings of the Cambridge Philosophical Society
2 Moscow University Mathematics Bulletin
2 Abhandlungen aus dem Mathematischen Seminar der Universität Hamburg
2 Archiv der Mathematik
2 Manuscripta Mathematica
2 Applied Mathematics and Mechanics. (English Edition)
2 Acta Applicandae Mathematicae
2 Statistical Science
2 Science in China. Series A
2 Computational Geometry
2 Linear Algebra and its Applications
2 Proceedings of the National Academy of Sciences of the United States of America
2 Computational Optimization and Applications
2 The Journal of Fourier Analysis and Applications
2 Extremes
2 Methodology and Computing in Applied Probability
2 Electronic Journal of Statistics
2 Statistics Surveys
1 Applicable Analysis
1 Bulletin of the Australian Mathematical Society
1 The Canadian Journal of Statistics
1 International Journal of Control
1 International Journal of General Systems
1 Israel Journal of Mathematics
1 Jahresbericht der Deutschen Mathematiker-Vereinigung (DMV)
1 Lithuanian Mathematical Journal
1 Arkiv för Matematik
1 Theory of Probability and its Applications
1 Beiträge zur Algebra und Geometrie
1 Automatica
1 Computing
1 Journal of the American Statistical Association
1 Journal of Functional Analysis
1 Journal of Geometry
1 Journal of Mathematical Economics
1 Journal of Mathematical Psychology
1 Journal für die Reine und Angewandte Mathematik
1 Journal of Soviet Mathematics
1 Mathematische Annalen
1 Mathematische Nachrichten
1 Metron
1 Nonlinear Analysis. Theory, Methods & Applications. Series A: Theory and Methods
1 Numerical Functional Analysis and Optimization
1 Rendiconti del Circolo Matemàtico di Palermo. Serie II
1 Siberian Mathematical Journal
1 Theoretical Computer Science
1 Cybernetics and Systems
1 Systems & Control Letters
1 Insurance Mathematics & Economics
1 Probability and Mathematical Statistics
1 Acta Mathematica Hungarica
1 Acta Mathematicae Applicatae Sinica. English Series
1 Statistics
1 Optimization
1 Journal of Complexity
1 Computers & Operations Research
1 Queueing Systems
1 Forum Mathematicum
1 Journal of Contemporary Mathematical Analysis. Armenian Academy of Sciences
1 Aequationes Mathematicae
1 Annales de l’Institut Henri Poincaré. Nouvelle Série. Section B. Calcul des Probabilités et Statistique
...and 25 more Serials
all top 5

Cited in 38 Fields

198 Probability theory and stochastic processes (60-XX)
111 Convex and discrete geometry (52-XX)
97 Statistics (62-XX)
32 Measure and integration (28-XX)
26 Approximations and expansions (41-XX)
24 Real functions (26-XX)
22 Operations research, mathematical programming (90-XX)
21 Numerical analysis (65-XX)
18 Mathematical logic and foundations (03-XX)
18 General topology (54-XX)
12 Functional analysis (46-XX)
12 Calculus of variations and optimal control; optimization (49-XX)
11 Operator theory (47-XX)
10 Game theory, economics, finance, and other social and behavioral sciences (91-XX)
9 Computer science (68-XX)
8 Information and communication theory, circuits (94-XX)
7 Differential geometry (53-XX)
7 Systems theory; control (93-XX)
6 Ordinary differential equations (34-XX)
5 Harmonic analysis on Euclidean spaces (42-XX)
4 Linear and multilinear algebra; matrix theory (15-XX)
4 Geometry (51-XX)
3 Dynamical systems and ergodic theory (37-XX)
2 Combinatorics (05-XX)
2 Special functions (33-XX)
2 Integral transforms, operational calculus (44-XX)
2 Quantum theory (81-XX)
2 Geophysics (86-XX)
1 General and overarching topics; collections (00-XX)
1 History and biography (01-XX)
1 Number theory (11-XX)
1 Algebraic geometry (14-XX)
1 Nonassociative rings and algebras (17-XX)
1 Group theory and generalizations (20-XX)
1 Several complex variables and analytic spaces (32-XX)
1 Global analysis, analysis on manifolds (58-XX)
1 Statistical mechanics, structure of matter (82-XX)
1 Biology and other natural sciences (92-XX)

Citations by Year