×

Billingsley, Patrick Paul (b. 1925 d. 2011)

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 10,766 times in 10,269 Documents Cited by Year
Convergence of probability measures. Zbl 0172.21201
Billingsley, Patrick
1968
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
537
1986
Ergodic theory and information. Zbl 0141.16702
Billingsley, P.
478
1965
Probability and measure. Zbl 0411.60001
Billingsley, Patrick
308
1979
The Lindeberg-Levy theorem for martingales. Zbl 0129.10701
Billingsley, P.
194
1961
Statistical inference for Markov processes. (Statistical Research Monographs. Vol. 2). Zbl 0106.34201
Billingsley, Patrick
169
1961
Probability and measure. Anniversary edition. Zbl 1236.60001
Billingsley, Patrick
113
2012
Weak convergence of measures: Applications in probability. Zbl 0271.60009
Billingsley, Patrick
113
1971
Statistical methods in Markov chains. Zbl 0104.12802
Billingsley, Patrick
101
1961
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
50
1960
Uniformity in weak convergence. Zbl 0147.15701
Billingsley, P.; Topsoe, F.
48
1967
On the distribution of large prime divisors. Zbl 0242.10033
Billingsley, P.
26
1972
The probability theory of additive arithmetic functions. Zbl 0327.10055
Billingsley, Patrick
23
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
19
1956
Van der Waerden’s continuous nowhere differentiable function. Zbl 0598.26014
Billingsley, Patrick
19
1982
Asymptotic distributions for the coupon collector’s problem. Zbl 0227.62010
Baum, Leonard E.; Billingsley, Patrick
18
1965
On the central limit theorem for the prime divisor function. Zbl 0182.07401
Billingsley, P.
12
1969
Limit theorems for randomly selected partial sums. Zbl 0113.12402
Billingsley, P.
8
1962
Prime numbers and Brownian motion. Zbl 0275.10029
Billingsley, Patrick
8
1973
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
113
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
537
1986
Van der Waerden’s continuous nowhere differentiable function. Zbl 0598.26014
Billingsley, Patrick
19
1982
Probability and measure. Zbl 0411.60001
Billingsley, Patrick
308
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
23
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.
26
1972
Weak convergence of measures: Applications in probability. Zbl 0271.60009
Billingsley, Patrick
113
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.
12
1969
Maxima of partial sums. Zbl 0181.44303
Billingsley, P.
6
1969
Convergence of probability measures. Zbl 0172.21201
Billingsley, Patrick
1968
Uniformity in weak convergence. Zbl 0147.15701
Billingsley, P.; Topsoe, F.
48
1967
Convergence of types in \(k\)-space. Zbl 0152.17102
Billingsley, P.
20
1966
Ergodic theory and information. Zbl 0141.16702
Billingsley, P.
478
1965
Asymptotic distributions for the coupon collector’s problem. Zbl 0227.62010
Baum, Leonard E.; Billingsley, Patrick
18
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.
194
1961
Statistical inference for Markov processes. (Statistical Research Monographs. Vol. 2). Zbl 0106.34201
Billingsley, Patrick
169
1961
Statistical methods in Markov chains. Zbl 0104.12802
Billingsley, Patrick
101
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
50
1960
The invariance principle for dependent random variables. Zbl 0075.13703
Billingsley, Patrick
19
1956
Asymptotic distributions of two goodness of fit criteria. Zbl 0073.35605
Billingsley, Patrick
3
1956
all top 5

Cited by 10,469 Authors

114 Laurinčikas, Antanas
47 Janson, Svante
47 Lee, Sangyeol
43 Horváth, Lajos
43 Peligrad, Magda
39 Whitt, Ward
35 Resnick, Sidney Ira
32 Berkes, István
32 Yin, Gang George
30 Samorodnitsky, Gennady Pinkhosovich
29 Macaitienė, Renata
28 Iksanov, Aleksander M.
26 Pang, Guodong
26 Wang, Dehui
25 Glynn, Peter W.
25 Mikosch, Thomas
25 Pardoux, Etienne
23 Taqqu, Murad S.
22 Fernández-Sánchez, Juan
22 Šiaučiūnas, Darius
21 Francq, Christian
21 Kabluchko, Zakhar A.
21 Kushner, Harold J.
21 Puri, Madan Lal
20 Basawa, Ishwar V.
20 Bouzebda, Salim
20 Sen, Pranab Kumar
19 Artstein, Zvi
19 Harel, Michel
19 Ling, Shiqing
19 Meerschaert, Mark Marvin
19 Minkevičius, Saulius
18 Komorowski, Tomasz
18 Volný, Dalibor
17 Ferger, Dietmar
17 Hušková, Marie
17 Kokoszka, Piotr S.
17 Sun, Yeneng
17 Surgailis, Donatas
17 Yang, Kai
17 Zhang, Li-Xin
16 Bai, Zhi-Dong
16 Merlevède, Florence
16 Zakoïan, Jean-Michel
15 Atar, Rami
15 Borkar, Vivek Shripad
15 Dehling, Herold G.
15 Dette, Holger
15 Diaz Carrillo, Manuel
15 Kifer, Yuri
15 Koul, Hira Lal
15 Limnios, Nikolaos
15 López-Díaz, Miguel
15 Marynych, Alexander V.
15 Prakasa Rao, B. L. S.
15 Račkauskas, Alfredas Yurgevich
14 Díaz-García, José Antonio
14 Hidalgo, Javier
14 Louchard, Guy
14 Phillips, Peter Charles Bonest
14 Soulier, Philippe
13 Davis, Richard A.
13 De Amo, Enrique
13 Dedecker, Jérôme
13 Lutz, Jack H.
13 Pap, Gyula
13 Philipp, Walter
13 Stute, Winfried
13 van der Hofstad, Remco W.
13 Wang, Yizao
13 Zwart, Bert P.
12 Albeverio, Sergio A.
12 Balan, Raluca M.
12 Cavaliere, Giuseppe
12 Denker, Manfred
12 Dombry, Clément
12 Faggionato, Alessandra
12 Fraiman, Ricardo
12 Mahmoud, Hosam M.
12 Nualart, David
12 Paulauskas, Vygantas Ionovič
12 Wu, Wei Biao
12 Yoshihara, Ken-ichi
12 Yüksel, Serdar
12 Zhang, Qing
12 Zhang, Yong
11 Afanas’ev, Valeriĭ Ivanovich
11 Bhattacharya, Rabi N.
11 Bingham, Nicholas Hugh
11 Bradley, Richard C. jun.
11 Bücher, Axel
11 Budhiraja, Amarjit S.
11 Durieu, Olivier
11 El Barmi, Hammou
11 Goldsman, David M.
11 Goldstein, Sheldon
11 Gorostiza, Luis G.
11 Grübel, Rudolf
11 Guillou, Armelle
11 Ivanov, Aleksandr Vladimirovich
...and 10,369 more Authors
all top 5

Cited in 754 Serials

569 Stochastic Processes and their Applications
405 Statistics & Probability Letters
262 Journal of Statistical Planning and Inference
246 Journal of Multivariate Analysis
229 The Annals of Applied Probability
215 Zeitschrift für Wahrscheinlichkeitstheorie und Verwandte Gebiete
214 Journal of Econometrics
197 Probability Theory and Related Fields
177 The Annals of Probability
174 Communications in Statistics. Theory and Methods
159 Journal of Statistical Physics
155 Journal of Mathematical Analysis and Applications
155 The Annals of Statistics
153 Bernoulli
146 Journal of Theoretical Probability
133 Lithuanian Mathematical Journal
125 Journal of Applied Probability
116 Queueing Systems
113 Journal of Economic Theory
111 Annals of the Institute of Statistical Mathematics
105 Communications in Mathematical Physics
95 Electronic Journal of Probability
86 Transactions of the American Mathematical Society
83 Journal of Mathematical Economics
81 Advances in Applied Probability
78 Electronic Journal of Statistics
76 Annales de l’Institut Henri Poincaré. Probabilités et Statistiques
73 Stochastic Analysis and Applications
68 Metrika
67 Statistics
67 Computational Statistics and Data Analysis
60 Journal of Time Series Analysis
56 Theoretical Computer Science
56 Journal of Mathematical Sciences (New York)
56 Journal of Nonparametric Statistics
52 Proceedings of the American Mathematical Society
50 Advances in Mathematics
50 Econometric Theory
45 Random Structures & Algorithms
44 Economic Theory
43 Extremes
43 Probability in the Engineering and Informational Sciences
42 Israel Journal of Mathematics
42 Fuzzy Sets and Systems
42 Kybernetika
42 Methodology and Computing in Applied Probability
41 Journal of Statistical Computation and Simulation
41 Statistical Papers
40 Journal of Differential Equations
40 Journal of Soviet Mathematics
39 Stochastics
39 Physica D
38 Econometric Reviews
38 Test
37 Monatshefte für Mathematik
37 Games and Economic Behavior
36 Journal of Functional Analysis
35 Applied Mathematics and Optimization
35 Journal of Computational and Applied Mathematics
35 SIAM Journal on Control and Optimization
34 Journal of Mathematical Biology
34 Ukrainian Mathematical Journal
34 Operations Research Letters
34 Stochastics and Dynamics
33 European Journal of Operational Research
32 Mathematical Programming. Series A. Series B
32 Electronic Communications in Probability
32 Statistical Inference for Stochastic Processes
31 Mathematical Notes
31 Annals of Operations Research
31 Stochastic Models
31 ALEA. Latin American Journal of Probability and Mathematical Statistics
30 Scandinavian Journal of Statistics
30 Journal of Number Theory
30 Insurance Mathematics & Economics
30 Economics Letters
29 Communications in Statistics. Simulation and Computation
28 Journal of Optimization Theory and Applications
27 The Canadian Journal of Statistics
27 Mathematical Methods of Statistics
27 Comptes Rendus. Mathématique. Académie des Sciences, Paris
27 Stochastics
26 Mathematische Nachrichten
26 Systems & Control Letters
25 Mathematische Zeitschrift
25 Sequential Analysis
25 European Series in Applied and Industrial Mathematics (ESAIM): Probability and Statistics
25 Acta Mathematica Sinica. English Series
25 Journal of the Korean Statistical Society
24 Theory of Probability and its Applications
24 Automatica
24 Mathematical Social Sciences
24 Annales Henri Poincaré
23 Journal of Mathematical Physics
23 Physica A
23 Acta Mathematica Hungarica
23 Journal of Economic Dynamics & Control
23 Theory of Probability and Mathematical Statistics
22 Chaos, Solitons and Fractals
21 Information and Computation
...and 654 more Serials
all top 5

Cited in 61 Fields

5,692 Probability theory and stochastic processes (60-XX)
3,373 Statistics (62-XX)
936 Game theory, economics, finance, and other social and behavioral sciences (91-XX)
572 Operations research, mathematical programming (90-XX)
543 Measure and integration (28-XX)
500 Statistical mechanics, structure of matter (82-XX)
495 Numerical analysis (65-XX)
488 Dynamical systems and ergodic theory (37-XX)
462 Computer science (68-XX)
460 Number theory (11-XX)
413 Partial differential equations (35-XX)
340 Systems theory; control (93-XX)
326 Combinatorics (05-XX)
300 Biology and other natural sciences (92-XX)
191 Calculus of variations and optimal control; optimization (49-XX)
178 Functional analysis (46-XX)
159 Information and communication theory, circuits (94-XX)
151 Operator theory (47-XX)
133 Ordinary differential equations (34-XX)
129 Real functions (26-XX)
125 Quantum theory (81-XX)
115 Linear and multilinear algebra; matrix theory (15-XX)
110 General topology (54-XX)
107 Fluid mechanics (76-XX)
87 Mathematical logic and foundations (03-XX)
81 Functions of a complex variable (30-XX)
74 Harmonic analysis on Euclidean spaces (42-XX)
59 Approximations and expansions (41-XX)
47 Convex and discrete geometry (52-XX)
44 Special functions (33-XX)
43 Global analysis, analysis on manifolds (58-XX)
39 Differential geometry (53-XX)
37 Group theory and generalizations (20-XX)
34 Mechanics of particles and systems (70-XX)
31 Integral transforms, operational calculus (44-XX)
30 Difference and functional equations (39-XX)
29 Integral equations (45-XX)
28 Potential theory (31-XX)
24 Sequences, series, summability (40-XX)
24 Abstract harmonic analysis (43-XX)
23 Topological groups, Lie groups (22-XX)
22 Geophysics (86-XX)
21 Algebraic geometry (14-XX)
20 Manifolds and cell complexes (57-XX)
19 Order, lattices, ordered algebraic structures (06-XX)
18 Algebraic topology (55-XX)
16 History and biography (01-XX)
16 Mechanics of deformable solids (74-XX)
12 General and overarching topics; collections (00-XX)
12 Several complex variables and analytic spaces (32-XX)
11 Classical thermodynamics, heat transfer (80-XX)
8 Category theory; homological algebra (18-XX)
8 Optics, electromagnetic theory (78-XX)
5 Associative rings and algebras (16-XX)
5 Geometry (51-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)
1 Field theory and polynomials (12-XX)

Citations by Year

The data are displayed as stored in Wikidata under a Creative Commons CC0 License. Updates and corrections should be made in Wikidata.