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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 11,122 times in 10,602 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
577
1986
Ergodic theory and information. Zbl 0141.16702
Billingsley, P.
487
1965
Probability and measure. Zbl 0411.60001
Billingsley, Patrick
315
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
123
2012
Weak convergence of measures: Applications in probability. Zbl 0271.60009
Billingsley, Patrick
116
1971
Statistical methods in Markov chains. Zbl 0104.12802
Billingsley, Patrick
107
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.
49
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
Van der Waerden’s continuous nowhere differentiable function. Zbl 0598.26014
Billingsley, Patrick
19
1982
The invariance principle for dependent random variables. Zbl 0075.13703
Billingsley, Patrick
19
1956
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
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
123
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
577
1986
Van der Waerden’s continuous nowhere differentiable function. Zbl 0598.26014
Billingsley, Patrick
19
1982
Probability and measure. Zbl 0411.60001
Billingsley, Patrick
315
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
116
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.
49
1967
Convergence of types in \(k\)-space. Zbl 0152.17102
Billingsley, P.
20
1966
Ergodic theory and information. Zbl 0141.16702
Billingsley, P.
487
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
107
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 10,751 Authors

117 Laurinčikas, Antanas
49 Janson, Svante
47 Lee, Sangyeol
45 Peligrad, Magda
44 Horváth, Lajos
41 Whitt, Ward
35 Resnick, Sidney Ira
32 Berkes, István
32 Yin, Gang George
30 Macaitienė, Renata
30 Samorodnitsky, Gennady Pinkhosovich
29 Glynn, Peter W.
29 Iksanov, Aleksander M.
27 Pang, Guodong
26 Wang, Dehui
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 Atar, Rami
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 Hušková, Marie
18 Komorowski, Tomasz
18 Sun, Yeneng
18 Volný, Dalibor
17 Ferger, Dietmar
17 Kokoszka, Piotr S.
17 Surgailis, Donatas
17 Yang, Kai
17 Zhang, Li-Xin
16 Bai, Zhi-Dong
16 Dette, Holger
16 Kifer, Yuri
16 Marynych, Alexander V.
16 Merlevède, Florence
16 Zakoïan, Jean-Michel
15 Borkar, Vivek Shripad
15 Dehling, Herold G.
15 Diaz Carrillo, Manuel
15 Koul, Hira Lal
15 Limnios, Nikolaos
15 López-Díaz, Miguel
15 Louchard, Guy
15 Prakasa Rao, B. L. S.
15 Račkauskas, Alfredas Yurgevich
15 Wang, Yizao
14 Díaz-García, José Antonio
14 Hidalgo, Javier
14 Nualart, David
14 Phillips, Peter Charles Bonest
14 Soulier, Philippe
14 van der Hofstad, Remco W.
14 Zwart, Bert P.
13 Budhiraja, Amarjit S.
13 Davis, Richard A.
13 De Amo, Enrique
13 Dedecker, Jérôme
13 Luo, Dejun
13 Lutz, Jack H.
13 Pap, Gyula
13 Philipp, Walter
13 Stute, Winfried
12 Albeverio, Sergio A.
12 Babu, Gutti Jogesh
12 Balan, Raluca M.
12 Bücher, Axel
12 Cavaliere, Giuseppe
12 Denker, Manfred
12 Dombry, Clément
12 Faggionato, Alessandra
12 Flandoli, Franco
12 Fraiman, Ricardo
12 Mahmoud, Hosam M.
12 Paulauskas, Vygantas Ionovič
12 Shao, Xiaofeng
12 Steland, Ansgar
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 Bosq, Denis
11 Bradley, Richard C. jun.
11 Durieu, Olivier
11 El Barmi, Hammou
...and 10,651 more Authors
all top 5

Cited in 764 Serials

582 Stochastic Processes and their Applications
416 Statistics & Probability Letters
266 Journal of Statistical Planning and Inference
255 Journal of Multivariate Analysis
242 The Annals of Applied Probability
217 Journal of Econometrics
215 Zeitschrift für Wahrscheinlichkeitstheorie und Verwandte Gebiete
205 Probability Theory and Related Fields
179 The Annals of Probability
174 Communications in Statistics. Theory and Methods
162 Journal of Statistical Physics
158 Bernoulli
156 Journal of Mathematical Analysis and Applications
155 The Annals of Statistics
151 Journal of Theoretical Probability
134 Lithuanian Mathematical Journal
125 Journal of Applied Probability
119 Queueing Systems
115 Journal of Economic Theory
111 Annals of the Institute of Statistical Mathematics
110 Electronic Journal of Probability
109 Communications in Mathematical Physics
88 Transactions of the American Mathematical Society
84 Journal of Mathematical Economics
84 Annales de l’Institut Henri Poincaré. Probabilités et Statistiques
81 Advances in Applied Probability
81 Electronic Journal of Statistics
74 Stochastic Analysis and Applications
70 Computational Statistics and Data Analysis
69 Metrika
67 Statistics
61 Journal of Time Series Analysis
59 Theoretical Computer Science
57 Journal of Mathematical Sciences (New York)
56 Journal of Nonparametric Statistics
56 Econometric Theory
52 Proceedings of the American Mathematical Society
51 Advances in Mathematics
46 Random Structures & Algorithms
44 Economic Theory
44 Extremes
43 Israel Journal of Mathematics
43 Fuzzy Sets and Systems
43 Kybernetika
43 Probability in the Engineering and Informational Sciences
42 Physica D
42 Journal of Statistical Computation and Simulation
42 Methodology and Computing in Applied Probability
41 Statistical Papers
40 Journal of Differential Equations
40 Journal of Soviet Mathematics
40 SIAM Journal on Control and Optimization
39 Stochastics
39 Journal of Computational and Applied Mathematics
38 Journal of Functional Analysis
38 Monatshefte für Mathematik
38 Econometric Reviews
38 Test
37 Games and Economic Behavior
36 Journal of Mathematical Biology
36 Operations Research Letters
35 Applied Mathematics and Optimization
34 Ukrainian Mathematical Journal
34 European Journal of Operational Research
34 Electronic Communications in Probability
34 Stochastics and Dynamics
32 Insurance Mathematics & Economics
32 Mathematical Programming. Series A. Series B
32 Statistical Inference for Stochastic Processes
31 Mathematical Notes
31 Journal of Number Theory
31 Annals of Operations Research
31 Stochastic Models
31 ALEA. Latin American Journal of Probability and Mathematical Statistics
30 Scandinavian Journal of Statistics
30 Mathematics of Operations Research
30 Economics Letters
30 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 Theory of Probability and its Applications
26 Mathematische Nachrichten
26 Systems & Control Letters
26 Mathematical Social Sciences
26 Sequential Analysis
26 Stochastic Systems
25 Chaos, Solitons and Fractals
25 Automatica
25 Mathematische Zeitschrift
25 Theory of Probability and Mathematical Statistics
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 Journal of Mathematical Physics
24 Physica A
24 Journal of Economic Dynamics & Control
24 Annales Henri Poincaré
...and 664 more Serials
all top 5

Cited in 61 Fields

5,872 Probability theory and stochastic processes (60-XX)
3,454 Statistics (62-XX)
966 Game theory, economics, finance, and other social and behavioral sciences (91-XX)
615 Operations research, mathematical programming (90-XX)
555 Measure and integration (28-XX)
525 Statistical mechanics, structure of matter (82-XX)
510 Numerical analysis (65-XX)
506 Dynamical systems and ergodic theory (37-XX)
486 Computer science (68-XX)
467 Number theory (11-XX)
447 Partial differential equations (35-XX)
358 Systems theory; control (93-XX)
345 Combinatorics (05-XX)
313 Biology and other natural sciences (92-XX)
197 Calculus of variations and optimal control; optimization (49-XX)
184 Functional analysis (46-XX)
166 Information and communication theory, circuits (94-XX)
155 Operator theory (47-XX)
141 Ordinary differential equations (34-XX)
131 Quantum theory (81-XX)
129 Real functions (26-XX)
119 Linear and multilinear algebra; matrix theory (15-XX)
114 Fluid mechanics (76-XX)
111 General topology (54-XX)
89 Mathematical logic and foundations (03-XX)
83 Functions of a complex variable (30-XX)
78 Harmonic analysis on Euclidean spaces (42-XX)
63 Approximations and expansions (41-XX)
49 Convex and discrete geometry (52-XX)
46 Special functions (33-XX)
45 Global analysis, analysis on manifolds (58-XX)
40 Group theory and generalizations (20-XX)
40 Differential geometry (53-XX)
34 Mechanics of particles and systems (70-XX)
33 Integral transforms, operational calculus (44-XX)
32 Difference and functional equations (39-XX)
31 Integral equations (45-XX)
28 Potential theory (31-XX)
25 Sequences, series, summability (40-XX)
25 Abstract harmonic analysis (43-XX)
24 Topological groups, Lie groups (22-XX)
24 Geophysics (86-XX)
23 Algebraic geometry (14-XX)
21 Manifolds and cell complexes (57-XX)
20 Order, lattices, ordered algebraic structures (06-XX)
19 Algebraic topology (55-XX)
17 History and biography (01-XX)
17 Mechanics of deformable solids (74-XX)
13 Several complex variables and analytic spaces (32-XX)
12 General and overarching topics; collections (00-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

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