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Breiman, Leo (b. 1928 d. 2005)

Author ID: breiman.leo Recent zbMATH articles by "Breiman, Leo"
Published as: Breiman, Leo; Breiman, L.
External Links: MGP · Wikidata · Math-Net.Ru · dblp · GND · IdRef
Documents Indexed: 63 Publications since 1957, including 6 Books
Biographic References: 9 Publications
Co-Authors: 21 Co-Authors with 19 Joint Publications
364 Co-Co-Authors

Publications by Year

Citations contained in zbMATH Open

60 Publications have been cited 6,629 times in 5,236 Documents Cited by Year
Classification and regression trees. Zbl 0541.62042
Breiman, Leo; Friedman, Jerome H.; Olshen, Richard A.; Stone, Charles J.
1984
Random forests. Zbl 1007.68152
Breiman, Leo
2001
Bagging predictors. Zbl 0858.68080
Breiman, Leo
787
1996
Probability. Zbl 0174.48801
Breiman, Leo
534
1968
Estimating optimal transformations for multiple regression and correlation. Zbl 0594.62044
Breiman, Leo; Friedman, Jerome H.
262
1985
Heuristics of instability and stabilization in model selection. Zbl 0867.62055
Breiman, Leo
227
1996
On some limit theorems similar to the arc-sin law. Zbl 0147.37004
Breiman, L.
209
1965
Better subset regression using the nonnegative garrote. Zbl 0862.62059
Breiman, Leo
201
1995
Statistical modeling: The two cultures. (With comments and a rejoinder). Zbl 1059.62505
Breiman, Leo
182
2001
Probability. Zbl 0753.60001
Breiman, Leo
150
1992
Arcing classifiers. (With discussion). Zbl 0934.62064
Breiman, Leo
127
1998
Optimal gambling systems for favorable games. Zbl 0109.36803
Breiman, L.
86
1961
Stacked regressions. Zbl 0849.68104
Breiman, Leo
79
1996
Variable kernel estimates of multivariate densities. Zbl 0379.62023
Breiman, Leo; Meisel, William; Purcell, Edward
78
1977
Predicting multivariate responses in multiple linear regression. Zbl 0897.62068
Breiman, Leo; Friedman, Jerome H.
76
1997
The individual ergodic theorem of information theory. Zbl 0078.31801
Breiman, Leo
69
1957
Hinging hyperplanes for regression, classification, and function approximation. Zbl 0793.62031
Breiman, Leo
55
1993
A deterministic algorithm for global optimization. Zbl 0807.90103
Breiman, Leo; Cutler, Adele
48
1993
Sums of functions of nearest neighbor distances, moment bounds, limit theorems and a goodness of fit test. Zbl 0502.62045
Bickel, Peter J.; Breiman, Leo
45
1983
Archetypal analysis. Zbl 0804.62002
Cutler, Adele; Breiman, Leo
42
1994
The strong law of large numbers for a class of Markov chains. Zbl 0104.11901
Breiman, Leo
38
1960
The little bootstrap and other methods for dimensionality selection in regression: X-fixed prediction error. Zbl 0850.62518
Breiman, Leo
37
1992
How many variables should be entered in a regression equation? Zbl 0513.62068
Breiman, L.; Freedman, D.
35
1983
First exit times from a square root boundary. Zbl 0241.60035
Breiman, Leo
34
1967
Prediction games and arcing algorithms. Zbl 1508.68280
Breiman, Leo
32
1999
Using iterated bagging to debias regressions. Zbl 1052.68109
Breiman, Leo
27
2001
Population theory for boosting ensembles. Zbl 1105.62308
Breiman, Leo
24
2004
Discriminant analysis and clustering. Panel on discriminant analysis, classification, and clustering. Zbl 0955.62588
Gnanadesikan, Ramanathan; Blashfield, Roger K.; Breiman, Leo; Dunn, Olive J.; Friedman, Jerome H.
21
1989
The \(\Pi\) method for estimating multivariate functions from noisy data. (With discussion). Zbl 0742.62037
Breiman, Leo
21
1991
Robust confidence bounds for extreme upper quantiles. Zbl 0775.62117
Breiman, Leo; Stone, Charles J.; Kooperberg, Charles
20
1990
A delicate law of the iterated logarithm for non-decreasing stable processes. Zbl 0192.55401
Breiman, L.
19
1969
On the tail behavior of sums of independent random variables. Zbl 0339.60050
Breiman, Leo
19
1967
Investment policies for expanding businesses optimal in a longrun sense. Zbl 0114.12401
Breiman, L.
19
1960
Technical note: Some properties of splitting criteria. Zbl 0849.68095
Breiman, Leo
16
1996
The capacities of certain channel classes under random coding. Zbl 0119.13805
Blackwell, D.; Breiman, L.; Thomasian, A. J.
16
1960
Consistent estimates and zero-one sets. Zbl 0223.62029
Breiman, Leo; Le Cam, Lucien; Schwartz, Lorraine
14
1964
Fitting additive models to regression data. Diagnostics and alternative views. Zbl 0937.62613
Breiman, Leo
13
1993
Correction to ”The individual ergodic theorem of information theory”. Zbl 0092.34001
Breiman, Leo
13
1960
The capacity of a class of channels. Zbl 0104.11604
Blackwell, David; Breiman, Leo; Thomasian, A. J.
13
1959
Randomizing outputs to increase prediction accuracy. Zbl 0962.68143
Breiman, Leo
12
2000
Stopping-rule problems. Zbl 0192.25605
Breiman, L.
12
1964
On achieving channel capacity in finite-memory channels. Zbl 0094.12605
Breiman, Leo
12
1960
Statistics: With a view toward applications. Zbl 0289.62001
Breiman, Leo
10
1973
The Poisson tendency in traffic distribution. Zbl 0117.13701
Breiman, L.
10
1963
Probability and stochastic processes: With a view toward applications. Zbl 0246.60033
Breiman, Leo
9
1969
Comparing automatic smoothers (a public service enterprise). Zbl 0775.62089
Breiman, Leo; Peters, Steve
8
1992
General estimates of the intrinsic variability of data in nonlinear regression models. Zbl 0336.62069
Breiman, L.; Meisel, W. S.
6
1976
On the completeness of order statistics. Zbl 0101.12201
Bell, C. B.; Blackwell, David; Breiman, Leo
6
1960
Correction to ’A delicate law of the iterated logarithm for non- decreasing stable processes’. Zbl 0207.48601
Breiman, L.
5
1970
On some probability distributions occurring in traffic flow. Zbl 0115.13404
Breiman, L.
5
1962
Convergence properties of a learning algorithm. Zbl 0125.09904
Breiman, L.; Wurtele, Z. S.
4
1964
Proof of Shannon’s transmission theorem for finite-state indecomposable channels. Zbl 0096.10901
Blackwell, David; Breiman, Leo; Thomasian, A. J.
4
1958
Combining predictors. Zbl 0932.68073
Breiman, L.
3
1999
Bias-variance, regularization, instability and stabilization. Zbl 0927.62069
Breiman, Leo
2
1999
On a simple estimation procedure for censored regression models with known error distributions. Zbl 0790.62026
Breiman, Leo; Tsur, Yacov; Zemel, Amos
2
1993
Nail finders, edifices, and Oz. Zbl 1373.62019
Breiman, Leo
2
1985
On transient Markov chains with application to the uniqueness problem for Markov processes. Zbl 0078.31703
Breiman, Leo
2
1957
Transient atomic Markov chains with a denumerable number of states. Zbl 0087.13503
Breiman, Leo
2
1958
A note on minimax filtering. Zbl 0265.60042
Breiman, Leo
1
1973
An elementary theorem concerning stationary ergodic processes. Zbl 0107.34804
Breiman, L.
1
1958
Population theory for boosting ensembles. Zbl 1105.62308
Breiman, Leo
24
2004
Random forests. Zbl 1007.68152
Breiman, Leo
2001
Statistical modeling: The two cultures. (With comments and a rejoinder). Zbl 1059.62505
Breiman, Leo
182
2001
Using iterated bagging to debias regressions. Zbl 1052.68109
Breiman, Leo
27
2001
Randomizing outputs to increase prediction accuracy. Zbl 0962.68143
Breiman, Leo
12
2000
Prediction games and arcing algorithms. Zbl 1508.68280
Breiman, Leo
32
1999
Combining predictors. Zbl 0932.68073
Breiman, L.
3
1999
Bias-variance, regularization, instability and stabilization. Zbl 0927.62069
Breiman, Leo
2
1999
Arcing classifiers. (With discussion). Zbl 0934.62064
Breiman, Leo
127
1998
Predicting multivariate responses in multiple linear regression. Zbl 0897.62068
Breiman, Leo; Friedman, Jerome H.
76
1997
Bagging predictors. Zbl 0858.68080
Breiman, Leo
787
1996
Heuristics of instability and stabilization in model selection. Zbl 0867.62055
Breiman, Leo
227
1996
Stacked regressions. Zbl 0849.68104
Breiman, Leo
79
1996
Technical note: Some properties of splitting criteria. Zbl 0849.68095
Breiman, Leo
16
1996
Better subset regression using the nonnegative garrote. Zbl 0862.62059
Breiman, Leo
201
1995
Archetypal analysis. Zbl 0804.62002
Cutler, Adele; Breiman, Leo
42
1994
Hinging hyperplanes for regression, classification, and function approximation. Zbl 0793.62031
Breiman, Leo
55
1993
A deterministic algorithm for global optimization. Zbl 0807.90103
Breiman, Leo; Cutler, Adele
48
1993
Fitting additive models to regression data. Diagnostics and alternative views. Zbl 0937.62613
Breiman, Leo
13
1993
On a simple estimation procedure for censored regression models with known error distributions. Zbl 0790.62026
Breiman, Leo; Tsur, Yacov; Zemel, Amos
2
1993
Probability. Zbl 0753.60001
Breiman, Leo
150
1992
The little bootstrap and other methods for dimensionality selection in regression: X-fixed prediction error. Zbl 0850.62518
Breiman, Leo
37
1992
Comparing automatic smoothers (a public service enterprise). Zbl 0775.62089
Breiman, Leo; Peters, Steve
8
1992
The \(\Pi\) method for estimating multivariate functions from noisy data. (With discussion). Zbl 0742.62037
Breiman, Leo
21
1991
Robust confidence bounds for extreme upper quantiles. Zbl 0775.62117
Breiman, Leo; Stone, Charles J.; Kooperberg, Charles
20
1990
Discriminant analysis and clustering. Panel on discriminant analysis, classification, and clustering. Zbl 0955.62588
Gnanadesikan, Ramanathan; Blashfield, Roger K.; Breiman, Leo; Dunn, Olive J.; Friedman, Jerome H.
21
1989
Estimating optimal transformations for multiple regression and correlation. Zbl 0594.62044
Breiman, Leo; Friedman, Jerome H.
262
1985
Nail finders, edifices, and Oz. Zbl 1373.62019
Breiman, Leo
2
1985
Classification and regression trees. Zbl 0541.62042
Breiman, Leo; Friedman, Jerome H.; Olshen, Richard A.; Stone, Charles J.
1984
Sums of functions of nearest neighbor distances, moment bounds, limit theorems and a goodness of fit test. Zbl 0502.62045
Bickel, Peter J.; Breiman, Leo
45
1983
How many variables should be entered in a regression equation? Zbl 0513.62068
Breiman, L.; Freedman, D.
35
1983
Variable kernel estimates of multivariate densities. Zbl 0379.62023
Breiman, Leo; Meisel, William; Purcell, Edward
78
1977
General estimates of the intrinsic variability of data in nonlinear regression models. Zbl 0336.62069
Breiman, L.; Meisel, W. S.
6
1976
Statistics: With a view toward applications. Zbl 0289.62001
Breiman, Leo
10
1973
A note on minimax filtering. Zbl 0265.60042
Breiman, Leo
1
1973
Correction to ’A delicate law of the iterated logarithm for non- decreasing stable processes’. Zbl 0207.48601
Breiman, L.
5
1970
A delicate law of the iterated logarithm for non-decreasing stable processes. Zbl 0192.55401
Breiman, L.
19
1969
Probability and stochastic processes: With a view toward applications. Zbl 0246.60033
Breiman, Leo
9
1969
Probability. Zbl 0174.48801
Breiman, Leo
534
1968
First exit times from a square root boundary. Zbl 0241.60035
Breiman, Leo
34
1967
On the tail behavior of sums of independent random variables. Zbl 0339.60050
Breiman, Leo
19
1967
On some limit theorems similar to the arc-sin law. Zbl 0147.37004
Breiman, L.
209
1965
Consistent estimates and zero-one sets. Zbl 0223.62029
Breiman, Leo; Le Cam, Lucien; Schwartz, Lorraine
14
1964
Stopping-rule problems. Zbl 0192.25605
Breiman, L.
12
1964
Convergence properties of a learning algorithm. Zbl 0125.09904
Breiman, L.; Wurtele, Z. S.
4
1964
The Poisson tendency in traffic distribution. Zbl 0117.13701
Breiman, L.
10
1963
On some probability distributions occurring in traffic flow. Zbl 0115.13404
Breiman, L.
5
1962
Optimal gambling systems for favorable games. Zbl 0109.36803
Breiman, L.
86
1961
The strong law of large numbers for a class of Markov chains. Zbl 0104.11901
Breiman, Leo
38
1960
Investment policies for expanding businesses optimal in a longrun sense. Zbl 0114.12401
Breiman, L.
19
1960
The capacities of certain channel classes under random coding. Zbl 0119.13805
Blackwell, D.; Breiman, L.; Thomasian, A. J.
16
1960
Correction to ”The individual ergodic theorem of information theory”. Zbl 0092.34001
Breiman, Leo
13
1960
On achieving channel capacity in finite-memory channels. Zbl 0094.12605
Breiman, Leo
12
1960
On the completeness of order statistics. Zbl 0101.12201
Bell, C. B.; Blackwell, David; Breiman, Leo
6
1960
The capacity of a class of channels. Zbl 0104.11604
Blackwell, David; Breiman, Leo; Thomasian, A. J.
13
1959
Proof of Shannon’s transmission theorem for finite-state indecomposable channels. Zbl 0096.10901
Blackwell, David; Breiman, Leo; Thomasian, A. J.
4
1958
Transient atomic Markov chains with a denumerable number of states. Zbl 0087.13503
Breiman, Leo
2
1958
An elementary theorem concerning stationary ergodic processes. Zbl 0107.34804
Breiman, L.
1
1958
The individual ergodic theorem of information theory. Zbl 0078.31801
Breiman, Leo
69
1957
On transient Markov chains with application to the uniqueness problem for Markov processes. Zbl 0078.31703
Breiman, Leo
2
1957
all top 5

Cited by 9,845 Authors

28 Bühlmann, Peter
21 Mikosch, Thomas
17 Ishwaran, Hemant
16 Hothorn, Torsten
15 Hall, Peter Gavin
15 Tutz, Gerhard E.
14 Bertsimas, Dimitris John
14 Biau, Gérard
13 Boche, Holger
13 Boulesteix, Anne-Laure Isabeau
13 Larocque, Denis
13 Schmid, Matthias
13 Yang, Weiguo
13 Yang, Yuhong
12 Sergeev, Yaroslav Dmitrievich
12 Zopounidis, Constantin
12 Zou, Hui
11 Berger, Moritz
11 Meinshausen, Nicolai
11 Resnick, Sidney Ira
11 Shi, Zhiyan
11 Zhang, Chunxia
10 Chi, Zhiyi
10 Epifanio, Irene
10 Evstigneev, Igor V.
10 Fan, Jianqing
10 Fan, Juanjuan
10 Hashorva, Enkelejd
10 Horváth, Lajos
10 Kim, Yongdai
10 Koo, Ja-Yong
10 Lausen, Berthold
10 Shih, Yu-Shan
10 Tang, Qihe
10 Wager, Stefan
10 Zhang, Hao Helen
10 Zhang, Jiangshe
9 Binder, Harald
9 Carrizosa, Emilio
9 Clarke, Bertrand S.
9 Conversano, Claudio
9 Davis, Richard A.
9 Li, Runze
9 Liu, Yufeng
9 Marron, James Stephen
9 Peng, Jiangyan
9 Scornet, Erwan
9 Siciliano, Roberta
9 Van der Laan, Mark Johannes
9 Yang, Yang
9 Yu, Bin
9 Zeileis, Achim
8 Bickel, Peter John
8 George, Edward I.
8 Hapfelmeier, Alexander
8 Li, Jinzhu
8 Romero Morales, Dolores
8 Schenk-Hoppé, Klaus Reiner
8 Schumacher, Martin
8 Su, Xiaogang
8 Tibshirani, Robert John
8 Wang, Dingcheng
8 Webb, Geoffrey I.
8 Wüthrich, Mario Valentin
8 Yuan, Ming
8 Zhou, Zhihua
8 Zhu, Ji
8 Zhu, Ruoqing
8 Ziemba, William T.
7 Cappelli, Carmela
7 Ciampi, Antonio
7 Džeroski, Sašo
7 Elouedi, Zied
7 Friedman, Jerome Harold
7 Hens, Thorsten
7 Kim, Hea-Jung
7 Linton, Oliver Bruce
7 MacLean, Leonard C.
7 Mentch, Lucas K.
7 Mojirsheibani, Majid
7 Nötzel, Janis
7 Olshen, Richard Allen
7 Pakes, Anthony G.
7 Rosset, Saharon
7 Runger, George C.
7 Samorodnitsky, Gennady Pinkhosovich
7 Samworth, Richard J.
7 Sauerbrei, Willi
7 Strobl, Carolin
7 Vehtari, Aki
7 Wang, Qihua
7 Wang, Shuning
7 Woodroofe, Michael Barrett
7 Yang, Jing
7 You, Jinhong
7 Zhang, Riquan
7 Zhang, Xinyu
7 Zhitlukhin, Mikhail V.
6 Abellán, Joaquín
6 Ahn, Hongshik
...and 9,745 more Authors
all top 5

Cited in 572 Serials

284 Computational Statistics and Data Analysis
137 The Annals of Statistics
136 Machine Learning
126 European Journal of Operational Research
103 Journal of Multivariate Analysis
103 The Annals of Applied Statistics
100 Stochastic Processes and their Applications
97 Pattern Recognition
89 Journal of Statistical Planning and Inference
86 Statistics & Probability Letters
82 Zeitschrift für Wahrscheinlichkeitstheorie und Verwandte Gebiete
80 Computational Statistics
76 Journal of Applied Statistics
72 Information Sciences
71 Journal of the American Statistical Association
70 Journal of Statistical Computation and Simulation
69 Communications in Statistics. Theory and Methods
65 Biometrics
60 Statistical Science
57 Communications in Statistics. Simulation and Computation
56 Journal of Computational and Graphical Statistics
55 Statistics and Computing
54 Statistical Analysis and Data Mining
53 Data Mining and Knowledge Discovery
52 Annals of Operations Research
49 Advances in Data Analysis and Classification. ADAC
48 Journal of Machine Learning Research (JMLR)
48 Electronic Journal of Statistics
45 Journal of Econometrics
41 Bernoulli
40 Neural Networks
38 Biometrical Journal
37 Probability Theory and Related Fields
36 Computers & Operations Research
35 Annals of the Institute of Statistical Mathematics
35 Insurance Mathematics & Economics
34 The Annals of Probability
33 Journal of Classification
33 International Journal of Approximate Reasoning
31 The Annals of Applied Probability
30 Artificial Intelligence
30 Journal of Applied Probability
29 Transactions of the American Mathematical Society
29 Journal of Theoretical Biology
28 The Canadian Journal of Statistics
27 Automatica
27 Stat
26 Extremes
25 Journal of Mathematical Analysis and Applications
24 Fuzzy Sets and Systems
24 Test
24 Journal of the Korean Statistical Society
24 Computational & Mathematical Methods in Medicine
23 Psychometrika
22 Journal of Theoretical Probability
22 Neural Computation
22 Journal of Nonparametric Statistics
21 Journal of Computational and Applied Mathematics
21 Journal of Global Optimization
20 Advances in Applied Probability
20 The American Statistician
20 Journal of Economic Theory
18 International Statistical Review
18 Mathematical and Computer Modelling
18 Quantitative Finance
17 Computers & Mathematics with Applications
17 Australian & New Zealand Journal of Statistics
16 Computer Methods in Applied Mechanics and Engineering
16 Mathematical Biosciences
16 Proceedings of the American Mathematical Society
16 Statistical Methods and Applications
16 Bayesian Analysis
15 Statistical Papers
15 Journal of the Royal Statistical Society. Series B. Statistical Methodology
15 Scandinavian Actuarial Journal
14 International Journal of Computer Vision
14 Mathematical Problems in Engineering
13 Journal of Statistical Physics
13 Journal of Mathematical Economics
13 Journal of Time Series Analysis
13 Automation and Remote Control
13 Annales de l’Institut Henri Poincaré. Probabilités et Statistiques
13 Applied Stochastic Models in Business and Industry
13 Statistical Modelling
12 Journal of Computational Physics
12 Scandinavian Journal of Statistics
12 Applied Mathematics and Computation
12 Annals of Mathematics and Artificial Intelligence
12 INFORMS Journal on Computing
12 Econometric Theory
12 North American Actuarial Journal
12 Computational Biology and Chemistry
12 Statistics Surveys
12 European Actuarial Journal
11 Journal of Mathematical Psychology
11 Journal of Optimization Theory and Applications
11 Econometric Reviews
11 Journal of Economic Dynamics & Control
11 International Transactions in Operational Research
11 ASTIN Bulletin
...and 472 more Serials
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Cited in 55 Fields

3,168 Statistics (62-XX)
1,390 Computer science (68-XX)
897 Probability theory and stochastic processes (60-XX)
506 Game theory, economics, finance, and other social and behavioral sciences (91-XX)
437 Operations research, mathematical programming (90-XX)
375 Numerical analysis (65-XX)
275 Biology and other natural sciences (92-XX)
134 Information and communication theory, circuits (94-XX)
117 Systems theory; control (93-XX)
89 Dynamical systems and ergodic theory (37-XX)
65 Combinatorics (05-XX)
48 Measure and integration (28-XX)
43 Geophysics (86-XX)
42 Statistical mechanics, structure of matter (82-XX)
38 Fluid mechanics (76-XX)
34 Quantum theory (81-XX)
33 Partial differential equations (35-XX)
32 Functional analysis (46-XX)
22 Harmonic analysis on Euclidean spaces (42-XX)
21 Mechanics of deformable solids (74-XX)
20 History and biography (01-XX)
19 Calculus of variations and optimal control; optimization (49-XX)
18 Linear and multilinear algebra; matrix theory (15-XX)
18 Approximations and expansions (41-XX)
18 Operator theory (47-XX)
17 General and overarching topics; collections (00-XX)
17 Number theory (11-XX)
13 Mathematical logic and foundations (03-XX)
13 Real functions (26-XX)
9 Topological groups, Lie groups (22-XX)
8 Ordinary differential equations (34-XX)
7 Classical thermodynamics, heat transfer (80-XX)
6 Special functions (33-XX)
6 Integral equations (45-XX)
6 Convex and discrete geometry (52-XX)
5 Order, lattices, ordered algebraic structures (06-XX)
5 Differential geometry (53-XX)
5 Global analysis, analysis on manifolds (58-XX)
5 Astronomy and astrophysics (85-XX)
4 Group theory and generalizations (20-XX)
4 Potential theory (31-XX)
4 Mechanics of particles and systems (70-XX)
3 Difference and functional equations (39-XX)
3 Abstract harmonic analysis (43-XX)
3 Algebraic topology (55-XX)
2 Functions of a complex variable (30-XX)
2 Geometry (51-XX)
2 General topology (54-XX)
2 Relativity and gravitational theory (83-XX)
2 Mathematics education (97-XX)
1 Field theory and polynomials (12-XX)
1 Commutative algebra (13-XX)
1 Several complex variables and analytic spaces (32-XX)
1 Sequences, series, summability (40-XX)
1 Manifolds and cell complexes (57-XX)

Citations by Year

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