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Billingsley, Patrick Paul

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Author ID: billingsley.patrick Recent zbMATH articles by "Billingsley, Patrick Paul"
Published as: Billingsley, Patrick; Billingsley, P.
External Links: MGP · Wikidata · dblp · GND · IdRef
Documents Indexed: 37 Publications since 1956, including 15 Books
Co-Authors: 7 Co-Authors with 9 Joint Publications
41 Co-Co-Authors

Publications by Year

Citations contained in zbMATH Open

30 Publications have been cited 9,396 times in 8,985 Documents Cited by Year
Convergence of probability measures. Zbl 0172.21201
Billingsley, P.
1968
Probability and measure. 3rd ed. Zbl 0822.60002
Billingsley, Patrick
1995
Convergence of probability measures. 2nd ed. Zbl 0944.60003
Billingsley, Patrick
1999
Probability and measure. 2nd ed. Zbl 0649.60001
Billingsley, Patrick
493
1986
Ergodic theory and information. Zbl 0141.16702
Billingsley, P.
450
1965
Probability and measure. Zbl 0411.60001
Billingsley, Patrick
282
1979
The Lindeberg-Levy theorem for martingales. Zbl 0129.10701
Billingsley, P.
167
1961
Statistical inference for Markov processes. (Statistical Research Monographs. Vol. 2). Zbl 0106.34201
Billingsley, Patrick
157
1961
Weak convergence of measures: Applications in probability. Zbl 0271.60009
Billingsley, Patrick
107
1971
Statistical methods in Markov chains. Zbl 0104.12802
Billingsley, Patrick
97
1961
Probability and measure. Anniversary edition. Zbl 1236.60001
Billingsley, Patrick
69
2012
Ergodic theory and information. (Ергодическая Теория и Информация.) Zbl 0184.43301
Billingsley, Patrick
63
1969
Uniformity in weak convergence. Zbl 0147.15701
Billingsley, P.; Topsoe, F.
44
1967
Hausdorff dimension in probability theory. I, II. Zbl 0098.10602
Billingsley, Patrick
42
1960
On the distribution of large prime divisors. Zbl 0242.10033
Billingsley, P.
21
1972
The probability theory of additive arithmetic functions. Zbl 0327.10055
Billingsley, Patrick
20
1974
Convergence of types in \(k\)-space. Zbl 0152.17102
Billingsley, P.
20
1966
The invariance principle for dependent random variables. Zbl 0075.13703
Billingsley, Patrick
18
1956
Van der Waerden’s continuous nowhere differentiable function. Zbl 0598.26014
Billingsley, Patrick
16
1982
Asymptotic distributions for the coupon collector’s problem. Zbl 0227.62010
Baum, Leonard E.; Billingsley, Patrick
14
1965
On the central limit theorem for the prime divisor function. Zbl 0182.07401
Billingsley, P.
9
1969
Prime numbers and Brownian motion. Zbl 0275.10029
Billingsley, Patrick
8
1973
Limit theorems for randomly selected partial sums. Zbl 0113.12402
Billingsley, P.
8
1962
Maxima of partial sums. Zbl 0181.44303
Billingsley, P.
6
1969
Conditional distributions and tightness. Zbl 0286.60003
Billingsley, Patrick
6
1974
Hausdorff dimension of some continued-fraction sets. Zbl 0287.10042
Billingsley, Patrick; Henningsen, Inge
4
1975
Asymptotic distributions of two goodness of fit criteria. Zbl 0073.35605
Billingsley, Patrick
3
1956
On the coding theorem for the noiseless channel. Zbl 0114.33903
Billingsley, P.
3
1961
An application of Prohorov’s theorem to probabilistic number theory. Zbl 0128.04302
Billingsley, Patrick
3
1964
Elements of statistical inference. 4th ed. Zbl 0371.62001
Huntsberger, David V.; Billingsley, Patrick
1
1977
Probability and measure. Anniversary edition. Zbl 1236.60001
Billingsley, Patrick
69
2012
Convergence of probability measures. 2nd ed. Zbl 0944.60003
Billingsley, Patrick
1999
Probability and measure. 3rd ed. Zbl 0822.60002
Billingsley, Patrick
1995
Probability and measure. 2nd ed. Zbl 0649.60001
Billingsley, Patrick
493
1986
Van der Waerden’s continuous nowhere differentiable function. Zbl 0598.26014
Billingsley, Patrick
16
1982
Probability and measure. Zbl 0411.60001
Billingsley, Patrick
282
1979
Elements of statistical inference. 4th ed. Zbl 0371.62001
Huntsberger, David V.; Billingsley, Patrick
1
1977
Hausdorff dimension of some continued-fraction sets. Zbl 0287.10042
Billingsley, Patrick; Henningsen, Inge
4
1975
The probability theory of additive arithmetic functions. Zbl 0327.10055
Billingsley, Patrick
20
1974
Conditional distributions and tightness. Zbl 0286.60003
Billingsley, Patrick
6
1974
Prime numbers and Brownian motion. Zbl 0275.10029
Billingsley, Patrick
8
1973
On the distribution of large prime divisors. Zbl 0242.10033
Billingsley, P.
21
1972
Weak convergence of measures: Applications in probability. Zbl 0271.60009
Billingsley, Patrick
107
1971
Ergodic theory and information. (Ергодическая Теория и Информация.) Zbl 0184.43301
Billingsley, Patrick
63
1969
On the central limit theorem for the prime divisor function. Zbl 0182.07401
Billingsley, P.
9
1969
Maxima of partial sums. Zbl 0181.44303
Billingsley, P.
6
1969
Convergence of probability measures. Zbl 0172.21201
Billingsley, P.
1968
Uniformity in weak convergence. Zbl 0147.15701
Billingsley, P.; Topsoe, F.
44
1967
Convergence of types in \(k\)-space. Zbl 0152.17102
Billingsley, P.
20
1966
Ergodic theory and information. Zbl 0141.16702
Billingsley, P.
450
1965
Asymptotic distributions for the coupon collector’s problem. Zbl 0227.62010
Baum, Leonard E.; Billingsley, Patrick
14
1965
An application of Prohorov’s theorem to probabilistic number theory. Zbl 0128.04302
Billingsley, Patrick
3
1964
Limit theorems for randomly selected partial sums. Zbl 0113.12402
Billingsley, P.
8
1962
The Lindeberg-Levy theorem for martingales. Zbl 0129.10701
Billingsley, P.
167
1961
Statistical inference for Markov processes. (Statistical Research Monographs. Vol. 2). Zbl 0106.34201
Billingsley, Patrick
157
1961
Statistical methods in Markov chains. Zbl 0104.12802
Billingsley, Patrick
97
1961
On the coding theorem for the noiseless channel. Zbl 0114.33903
Billingsley, P.
3
1961
Hausdorff dimension in probability theory. I, II. Zbl 0098.10602
Billingsley, Patrick
42
1960
The invariance principle for dependent random variables. Zbl 0075.13703
Billingsley, Patrick
18
1956
Asymptotic distributions of two goodness of fit criteria. Zbl 0073.35605
Billingsley, Patrick
3
1956
all top 5

Cited by 9,150 Authors

106 Laurinčikas, Antanas
42 Horváth, Lajos
39 Whitt, Ward
38 Lee, Sangyeol
37 Peligrad, Magda
36 Janson, Svante
33 Resnick, Sidney Ira
32 Berkes, István
32 Yin, Gang George
28 Samorodnitsky, Gennady Pinkhosovich
27 Macaitienė, Renata
24 Mikosch, Thomas
23 Iksanov, Aleksander M.
22 Glynn, Peter W.
22 Taqqu, Murad S.
21 Kushner, Harold J.
20 Basawa, Ishwar V.
20 Francq, Christian
20 Wang, Dehui
19 Meerschaert, Mark Marvin
19 Minkevičius, Saulius
19 Pang, Guodong
19 Šiaučiūnas, Darius
18 Kabluchko, Zakhar A.
18 Ling, Shiqing
18 Pardoux, Etienne
17 Artstein, Zvi
17 Fernández-Sánchez, Juan
17 Harel, Michel
17 Kokoszka, Piotr S.
17 Puri, Madan Lal
17 Sen, Pranab Kumar
17 Surgailis, Donatas
17 Zhang, Li-Xin
16 Bouzebda, Salim
16 Hušková, Marie
16 Komorowski, Tomasz
15 Bai, Zhi-Dong
15 Kifer, Yuri
15 Koul, Hira Lal
15 López-Díaz, Miguel
15 Sun, Yeneng
15 Volný, Dalibor
15 Zakoïan, Jean-Michel
14 Ferger, Dietmar
14 Louchard, Guy
14 Yang, Kai
13 Atar, Rami
13 Dette, Holger
13 Díaz-García, José Antonio
13 Hidalgo, Javier
13 Limnios, Nikolaos
13 Philipp, Walter
13 Prakasa Rao, B. L. S.
13 Račkauskas, Alfredas Yurgevich
13 Soulier, Philippe
13 Stute, Winfried
13 Wu, Wei Biao
12 Albeverio, Sergio A.
12 Borkar, Vivek Shripad
12 Davis, Richard A.
12 Dehling, Herold G.
12 Denker, Manfred
12 Mahmoud, Hosam M.
12 Merlevède, Florence
12 Pap, Gyula
12 Paulauskas, Vygantas Ionovič
12 Phillips, Peter Charles Bonest
12 van der Hofstad, Remco W.
12 Zhang, Qing
11 Balan, Raluca M.
11 Bingham, Nicholas Hugh
11 Dedecker, Jérôme
11 Diaz Carrillo, Manuel
11 Dombry, Clément
11 El Barmi, Hammou
11 Goldsman, David M.
11 Goldstein, Sheldon
11 Gorostiza, Luis G.
11 Grübel, Rudolf
11 Guillou, Armelle
11 Kallenberg, Olav
11 Liu, Wen
11 Penrose, Mathew D.
11 Rachev, Svetlozar T.
11 Rahimov, Ibrahim
11 Shao, Xiaofeng
11 Talarczyk, Anna
11 Wang, Leyi
11 Woodroofe, Michael Barrett
10 Afanas’ev, Valeriĭ Ivanovich
10 Aki, Sigeo
10 Aue, Alexander
10 Balder, Erik J.
10 Bradley, Richard C. jun.
10 Cai, Zongwu
10 Cavaliere, Giuseppe
10 De Amo, Enrique
10 Durieu, Olivier
10 Faggionato, Alessandra
...and 9,050 more Authors
all top 5

Cited in 687 Serials

507 Stochastic Processes and their Applications
392 Statistics & Probability Letters
258 Journal of Statistical Planning and Inference
214 Zeitschrift für Wahrscheinlichkeitstheorie und Verwandte Gebiete
204 The Annals of Applied Probability
196 Journal of Econometrics
179 Probability Theory and Related Fields
165 The Annals of Probability
161 Communications in Statistics. Theory and Methods
156 Journal of Statistical Physics
156 Journal of Multivariate Analysis
146 The Annals of Statistics
145 Journal of Mathematical Analysis and Applications
134 Journal of Theoretical Probability
128 Bernoulli
126 Lithuanian Mathematical Journal
114 Journal of Applied Probability
112 Queueing Systems
111 Journal of Economic Theory
107 Annals of the Institute of Statistical Mathematics
97 Communications in Mathematical Physics
83 Transactions of the American Mathematical Society
78 Journal of Mathematical Economics
76 Advances in Applied Probability
70 Stochastic Analysis and Applications
70 Electronic Journal of Statistics
66 Metrika
63 Statistics
63 Computational Statistics and Data Analysis
62 Annales de l’Institut Henri Poincaré. Probabilités et Statistiques
55 Electronic Journal of Probability
53 Journal of Nonparametric Statistics
51 Theoretical Computer Science
49 Proceedings of the American Mathematical Society
47 Journal of Mathematical Sciences (New York)
46 Journal of Time Series Analysis
44 Econometric Theory
43 Advances in Mathematics
42 Kybernetika
42 Economic Theory
40 Fuzzy Sets and Systems
40 Journal of Soviet Mathematics
39 Stochastics
38 Israel Journal of Mathematics
37 Monatshefte für Mathematik
37 Journal of Statistical Computation and Simulation
37 Extremes
36 Games and Economic Behavior
36 Statistical Papers
36 Methodology and Computing in Applied Probability
35 Test
34 Econometric Reviews
33 Journal of Mathematical Biology
33 Journal of Functional Analysis
33 Random Structures & Algorithms
33 European Journal of Operational Research
32 Journal of Differential Equations
32 Physica D
32 Probability in the Engineering and Informational Sciences
31 Mathematical Notes
31 Ukrainian Mathematical Journal
31 Operations Research Letters
29 Scandinavian Journal of Statistics
29 Annals of Operations Research
29 Economics Letters
28 Applied Mathematics and Optimization
28 Statistical Inference for Stochastic Processes
27 Journal of Computational and Applied Mathematics
27 Journal of Optimization Theory and Applications
27 Insurance Mathematics & Economics
27 Mathematical Programming. Series A. Series B
27 Stochastic Models
26 Mathematical Methods of Statistics
26 Stochastics and Dynamics
25 Journal of Number Theory
25 Sequential Analysis
25 Electronic Communications in Probability
25 European Series in Applied and Industrial Mathematics (ESAIM): Probability and Statistics
25 Comptes Rendus. Mathématique. Académie des Sciences, Paris
24 Mathematische Nachrichten
23 Mathematische Zeitschrift
23 SIAM Journal on Control and Optimization
23 Acta Mathematica Sinica. English Series
22 Acta Mathematica Hungarica
21 The Canadian Journal of Statistics
21 Theory of Probability and its Applications
21 Systems & Control Letters
21 Journal of Economic Dynamics & Control
21 Theory of Probability and Mathematical Statistics
20 Journal of Mathematical Physics
20 Chaos, Solitons and Fractals
20 Annales Henri Poincaré
19 Mathematical Proceedings of the Cambridge Philosophical Society
19 Automatica
19 Scandinavian Actuarial Journal
19 Siberian Mathematical Journal
19 Mathematical Social Sciences
19 Acta Applicandae Mathematicae
19 Information and Computation
19 Communications in Statistics. Simulation and Computation
...and 587 more Serials
all top 5

Cited in 61 Fields

4,981 Probability theory and stochastic processes (60-XX)
3,002 Statistics (62-XX)
818 Game theory, economics, finance, and other social and behavioral sciences (91-XX)
517 Operations research, mathematical programming (90-XX)
487 Measure and integration (28-XX)
441 Numerical analysis (65-XX)
424 Statistical mechanics, structure of matter (82-XX)
412 Dynamical systems and ergodic theory (37-XX)
395 Computer science (68-XX)
394 Number theory (11-XX)
299 Partial differential equations (35-XX)
293 Systems theory; control (93-XX)
259 Biology and other natural sciences (92-XX)
250 Combinatorics (05-XX)
155 Functional analysis (46-XX)
146 Calculus of variations and optimal control; optimization (49-XX)
137 Information and communication theory, circuits (94-XX)
128 Operator theory (47-XX)
116 Ordinary differential equations (34-XX)
112 Quantum theory (81-XX)
106 Real functions (26-XX)
100 Linear and multilinear algebra; matrix theory (15-XX)
98 General topology (54-XX)
83 Fluid mechanics (76-XX)
76 Mathematical logic and foundations (03-XX)
68 Functions of a complex variable (30-XX)
66 Harmonic analysis on Euclidean spaces (42-XX)
49 Approximations and expansions (41-XX)
40 Special functions (33-XX)
35 Convex and discrete geometry (52-XX)
33 Differential geometry (53-XX)
32 Group theory and generalizations (20-XX)
32 Global analysis, analysis on manifolds (58-XX)
27 Difference and functional equations (39-XX)
27 Integral transforms, operational calculus (44-XX)
25 Mechanics of particles and systems (70-XX)
24 Potential theory (31-XX)
24 Abstract harmonic analysis (43-XX)
20 Integral equations (45-XX)
19 Sequences, series, summability (40-XX)
18 Order, lattices, ordered algebraic structures (06-XX)
18 Manifolds and cell complexes (57-XX)
18 Geophysics (86-XX)
17 Algebraic geometry (14-XX)
17 Topological groups, Lie groups (22-XX)
15 Algebraic topology (55-XX)
13 History and biography (01-XX)
12 Mechanics of deformable solids (74-XX)
8 General and overarching topics; collections (00-XX)
7 Category theory; homological algebra (18-XX)
7 Classical thermodynamics, heat transfer (80-XX)
6 Several complex variables and analytic spaces (32-XX)
6 Optics, electromagnetic theory (78-XX)
5 Astronomy and astrophysics (85-XX)
4 Commutative algebra (13-XX)
3 Mathematics education (97-XX)
2 Geometry (51-XX)
1 Field theory and polynomials (12-XX)
1 Associative rings and algebras (16-XX)
1 Nonassociative rings and algebras (17-XX)
1 Relativity and gravitational theory (83-XX)

Citations by Year

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