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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
36 Co-Co-Authors

Publications by Year

Citations contained in zbMATH Open

30 Publications have been cited 9,645 times in 9,197 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
502
1986
Ergodic theory and information. Zbl 0141.16702
Billingsley, P.
458
1965
Probability and measure. Zbl 0411.60001
Billingsley, Patrick
283
1979
The Lindeberg-Levy theorem for martingales. Zbl 0129.10701
Billingsley, P.
174
1961
Statistical inference for Markov processes. (Statistical Research Monographs. Vol. 2). Zbl 0106.34201
Billingsley, Patrick
158
1961
Weak convergence of measures: Applications in probability. Zbl 0271.60009
Billingsley, Patrick
108
1971
Statistical methods in Markov chains. Zbl 0104.12802
Billingsley, Patrick
97
1961
Probability and measure. Anniversary edition. Zbl 1236.60001
Billingsley, Patrick
77
2012
Ergodic theory and information. (Ергодическая Теория и Информация.) Zbl 0184.43301
Billingsley, Patrick
62
1969
Hausdorff dimension in probability theory. I, II. Zbl 0098.10602
Billingsley, Patrick
45
1960
Uniformity in weak convergence. Zbl 0147.15701
Billingsley, P.; Topsoe, F.
45
1967
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
18
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.
10
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
Conditional distributions and tightness. Zbl 0286.60003
Billingsley, Patrick
6
1974
Maxima of partial sums. Zbl 0181.44303
Billingsley, P.
6
1969
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
77
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
502
1986
Van der Waerden’s continuous nowhere differentiable function. Zbl 0598.26014
Billingsley, Patrick
18
1982
Probability and measure. Zbl 0411.60001
Billingsley, Patrick
283
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
108
1971
Ergodic theory and information. (Ергодическая Теория и Информация.) Zbl 0184.43301
Billingsley, Patrick
62
1969
On the central limit theorem for the prime divisor function. Zbl 0182.07401
Billingsley, P.
10
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.
45
1967
Convergence of types in \(k\)-space. Zbl 0152.17102
Billingsley, P.
20
1966
Ergodic theory and information. Zbl 0141.16702
Billingsley, P.
458
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.
174
1961
Statistical inference for Markov processes. (Statistical Research Monographs. Vol. 2). Zbl 0106.34201
Billingsley, Patrick
158
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
45
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 9,392 Authors

109 Laurinčikas, Antanas
43 Horváth, Lajos
39 Lee, Sangyeol
39 Whitt, Ward
38 Peligrad, Magda
37 Janson, Svante
33 Resnick, Sidney Ira
32 Berkes, István
32 Yin, Gang George
28 Macaitienė, Renata
28 Samorodnitsky, Gennady Pinkhosovich
25 Iksanov, Aleksander M.
24 Mikosch, Thomas
22 Glynn, Peter W.
22 Taqqu, Murad S.
21 Kushner, Harold J.
21 Šiaučiūnas, Darius
21 Wang, Dehui
20 Basawa, Ishwar V.
20 Francq, Christian
19 Kabluchko, Zakhar A.
19 Meerschaert, Mark Marvin
19 Minkevičius, Saulius
19 Pang, Guodong
19 Pardoux, Etienne
18 Fernández-Sánchez, Juan
18 Ling, Shiqing
18 Sen, Pranab Kumar
17 Artstein, Zvi
17 Harel, Michel
17 Hušková, Marie
17 Kokoszka, Piotr S.
17 Puri, Madan Lal
17 Sun, Yeneng
17 Surgailis, Donatas
17 Zhang, Li-Xin
16 Bouzebda, Salim
16 Komorowski, Tomasz
15 Bai, Zhi-Dong
15 Kifer, Yuri
15 Koul, Hira Lal
15 Volný, Dalibor
15 Yang, Kai
15 Zakoïan, Jean-Michel
14 Ferger, Dietmar
14 López-Díaz, Miguel
14 Louchard, Guy
14 Prakasa Rao, B. L. S.
13 Atar, Rami
13 Dette, Holger
13 Díaz-García, José Antonio
13 Hidalgo, Javier
13 Limnios, Nikolaos
13 Merlevède, Florence
13 Philipp, Walter
13 Račkauskas, Alfredas Yurgevich
13 Soulier, Philippe
13 Stute, Winfried
12 Albeverio, Sergio A.
12 Borkar, Vivek Shripad
12 Davis, Richard A.
12 Dehling, Herold G.
12 Denker, Manfred
12 Diaz Carrillo, Manuel
12 Mahmoud, Hosam M.
12 Pap, Gyula
12 Paulauskas, Vygantas Ionovič
12 Phillips, Peter Charles Bonest
12 van der Hofstad, Remco W.
12 Wu, Wei Biao
12 Zhang, Qing
11 Balan, Raluca M.
11 Bingham, Nicholas Hugh
11 De Amo, Enrique
11 Dedecker, Jérôme
11 Dombry, Clément
11 El Barmi, Hammou
11 Faggionato, Alessandra
11 Goldsman, David M.
11 Goldstein, Sheldon
11 Gorostiza, Luis G.
11 Grübel, Rudolf
11 Guillou, Armelle
11 Kallenberg, Olav
11 Liu, Wen
11 Marynych, Alexander V.
11 Nualart, David
11 Penrose, Mathew D.
11 Rachev, Svetlozar T.
11 Rahimov, Ibrahim
11 Shao, Xiaofeng
11 Talarczyk, Anna
11 Wang, Leyi
11 Woodroofe, Michael Barrett
11 Yoshihara, Ken-ichi
11 Zwart, Bert P.
10 Afanas’ev, Valeriĭ Ivanovich
10 Aki, Sigeo
10 Aue, Alexander
10 Balbus, Łukasz
...and 9,292 more Authors
all top 5

Cited in 703 Serials

518 Stochastic Processes and their Applications
394 Statistics & Probability Letters
258 Journal of Statistical Planning and Inference
214 Zeitschrift für Wahrscheinlichkeitstheorie und Verwandte Gebiete
204 The Annals of Applied Probability
197 Journal of Econometrics
184 Probability Theory and Related Fields
166 The Annals of Probability
164 Communications in Statistics. Theory and Methods
163 Journal of Multivariate Analysis
157 Journal of Statistical Physics
146 Journal of Mathematical Analysis and Applications
146 The Annals of Statistics
139 Journal of Theoretical Probability
131 Bernoulli
127 Lithuanian Mathematical Journal
116 Journal of Applied Probability
114 Queueing Systems
112 Journal of Economic Theory
109 Annals of the Institute of Statistical Mathematics
98 Communications in Mathematical Physics
83 Transactions of the American Mathematical Society
81 Journal of Mathematical Economics
76 Advances in Applied Probability
70 Stochastic Analysis and Applications
70 Electronic Journal of Statistics
67 Metrika
64 Annales de l’Institut Henri Poincaré. Probabilités et Statistiques
64 Computational Statistics and Data Analysis
63 Statistics
59 Electronic Journal of Probability
54 Journal of Nonparametric Statistics
51 Theoretical Computer Science
50 Proceedings of the American Mathematical Society
47 Journal of Mathematical Sciences (New York)
46 Journal of Time Series Analysis
45 Advances in Mathematics
45 Econometric Theory
43 Economic Theory
42 Kybernetika
40 Fuzzy Sets and Systems
40 Journal of Soviet Mathematics
39 Stochastics
39 Statistical Papers
39 Probability in the Engineering and Informational Sciences
38 Israel Journal of Mathematics
37 Monatshefte für Mathematik
37 Journal of Statistical Computation and Simulation
37 Extremes
37 Methodology and Computing in Applied Probability
36 Games and Economic Behavior
35 Journal of Differential Equations
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 Operations Research Letters
32 Physica D
31 Mathematical Notes
31 Ukrainian Mathematical Journal
30 Annals of Operations Research
30 Economics Letters
30 Mathematical Programming. Series A. Series B
29 Scandinavian Journal of Statistics
29 Insurance Mathematics & Economics
29 Statistical Inference for Stochastic Processes
28 Applied Mathematics and Optimization
28 Journal of Computational and Applied Mathematics
27 Journal of Optimization Theory and Applications
27 Mathematical Methods of Statistics
27 Stochastic Models
27 Stochastics and Dynamics
26 Journal of Number Theory
25 SIAM Journal on Control and Optimization
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
24 Communications in Statistics. Simulation and Computation
23 Mathematische Zeitschrift
23 Acta Mathematica Sinica. English Series
22 Acta Mathematica Hungarica
22 Journal of Economic Dynamics & Control
22 Stochastics
22 ALEA. Latin American Journal of Probability and Mathematical Statistics
21 The Canadian Journal of Statistics
21 Chaos, Solitons and Fractals
21 Theory of Probability and its Applications
21 Systems & Control Letters
21 Theory of Probability and Mathematical Statistics
21 Annales Henri Poincaré
21 Journal of the Korean Statistical Society
20 Journal of Mathematical Physics
20 Physica A
20 Automatica
20 Mathematical Social Sciences
19 Mathematical Proceedings of the Cambridge Philosophical Society
...and 603 more Serials
all top 5

Cited in 61 Fields

5,080 Probability theory and stochastic processes (60-XX)
3,063 Statistics (62-XX)
840 Game theory, economics, finance, and other social and behavioral sciences (91-XX)
528 Operations research, mathematical programming (90-XX)
502 Measure and integration (28-XX)
449 Numerical analysis (65-XX)
439 Statistical mechanics, structure of matter (82-XX)
426 Dynamical systems and ergodic theory (37-XX)
410 Number theory (11-XX)
399 Computer science (68-XX)
319 Partial differential equations (35-XX)
298 Systems theory; control (93-XX)
265 Biology and other natural sciences (92-XX)
262 Combinatorics (05-XX)
157 Functional analysis (46-XX)
152 Calculus of variations and optimal control; optimization (49-XX)
143 Information and communication theory, circuits (94-XX)
131 Operator theory (47-XX)
119 Ordinary differential equations (34-XX)
113 Quantum theory (81-XX)
110 Real functions (26-XX)
102 General topology (54-XX)
101 Linear and multilinear algebra; matrix theory (15-XX)
86 Fluid mechanics (76-XX)
79 Mathematical logic and foundations (03-XX)
73 Functions of a complex variable (30-XX)
65 Harmonic analysis on Euclidean spaces (42-XX)
49 Approximations and expansions (41-XX)
40 Special functions (33-XX)
36 Convex and discrete geometry (52-XX)
35 Global analysis, analysis on manifolds (58-XX)
34 Group theory and generalizations (20-XX)
34 Differential geometry (53-XX)
28 Integral transforms, operational calculus (44-XX)
27 Difference and functional equations (39-XX)
26 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 Topological groups, Lie groups (22-XX)
18 Manifolds and cell complexes (57-XX)
18 Geophysics (86-XX)
17 Algebraic geometry (14-XX)
16 Algebraic topology (55-XX)
13 History and biography (01-XX)
13 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)
5 Mathematics education (97-XX)
4 Commutative algebra (13-XX)
3 Relativity and gravitational theory (83-XX)
2 Nonassociative rings and algebras (17-XX)
2 Geometry (51-XX)
1 Field theory and polynomials (12-XX)
1 Associative rings and algebras (16-XX)

Citations by Year

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