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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, P.; Billingsley, Patrick
External Links: MGP · Wikidata · dblp · GND
Documents Indexed: 37 Publications since 1956, including 15 Books

Publications by Year

Citations contained in zbMATH

30 Publications have been cited 9,206 times in 8,468 Documents Cited by Year
Convergence of probability measures. Zbl 0172.21201
Billingsley, P.
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
493
1986
Ergodic theory and information. Zbl 0141.16702
Billingsley, P.
445
1965
Probability and measure. Zbl 0411.60001
Billingsley, Patrick
279
1979
Statistical inference for Markov processes. (Statistical Research Monographs. Vol. 2). Zbl 0106.34201
Billingsley, Patrick
189
1961
The Lindeberg-Levy theorem for martingales. Zbl 0129.10701
Billingsley, P.
147
1961
Weak convergence of measures: Applications in probability. Zbl 0271.60009
Billingsley, Patrick
115
1971
Statistical methods in Markov chains. Zbl 0104.12802
Billingsley, Patrick
86
1961
Ergodic theory and information. Zbl 0184.43301
Billingsley, Patrick
71
1969
Probability and measure. Anniversary edition. Zbl 1236.60001
Billingsley, Patrick
53
2012
Uniformity in weak convergence. Zbl 0147.15701
Billingsley, P.; Topsoe, F.
45
1967
Hausdorff dimension in probability theory. I, II. Zbl 0098.10602
Billingsley, Patrick
43
1960
Convergence of types in \(k\)-space. Zbl 0152.17102
Billingsley, P.
20
1966
On the distribution of large prime divisors. Zbl 0242.10033
Billingsley, P.
17
1972
Van der Waerden’s continuous nowhere differentiable function. Zbl 0598.26014
Billingsley, Patrick
15
1982
The probability theory of additive arithmetic functions. Zbl 0327.10055
Billingsley, Patrick
15
1974
The invariance principle for dependent random variables. Zbl 0075.13703
Billingsley, Patrick
15
1956
Asymptotic distributions for the coupon collector’s problem. Zbl 0227.62010
Baum, Leonard E.; Billingsley, Patrick
13
1965
On the central limit theorem for the prime divisor function. Zbl 0182.07401
Billingsley, P.
7
1969
Maxima of partial sums. Zbl 0181.44303
Billingsley, P.
7
1969
Limit theorems for randomly selected partial sums. Zbl 0113.12402
Billingsley, P.
7
1962
Conditional distributions and tightness. Zbl 0286.60003
Billingsley, Patrick
6
1974
An application of Prohorov’s theorem to probabilistic number theory. Zbl 0128.04302
Billingsley, P.
5
1964
Hausdorff dimension of some continued-fraction sets. Zbl 0287.10042
Billingsley, Patrick; Henningsen, Inge
4
1975
Prime numbers and Brownian motion. Zbl 0275.10029
Billingsley, Patrick
3
1973
On the coding theorem for the noiseless channel. Zbl 0114.33903
Billingsley, P.
3
1961
Asymptotic distributions of two goodness of fit criteria. Zbl 0073.35605
Billingsley, Patrick
3
1956
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
53
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
15
1982
Probability and measure. Zbl 0411.60001
Billingsley, Patrick
279
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
15
1974
Conditional distributions and tightness. Zbl 0286.60003
Billingsley, Patrick
6
1974
Prime numbers and Brownian motion. Zbl 0275.10029
Billingsley, Patrick
3
1973
On the distribution of large prime divisors. Zbl 0242.10033
Billingsley, P.
17
1972
Weak convergence of measures: Applications in probability. Zbl 0271.60009
Billingsley, Patrick
115
1971
Ergodic theory and information. Zbl 0184.43301
Billingsley, Patrick
71
1969
On the central limit theorem for the prime divisor function. Zbl 0182.07401
Billingsley, P.
7
1969
Maxima of partial sums. Zbl 0181.44303
Billingsley, P.
7
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.
445
1965
Asymptotic distributions for the coupon collector’s problem. Zbl 0227.62010
Baum, Leonard E.; Billingsley, Patrick
13
1965
An application of Prohorov’s theorem to probabilistic number theory. Zbl 0128.04302
Billingsley, P.
5
1964
Limit theorems for randomly selected partial sums. Zbl 0113.12402
Billingsley, P.
7
1962
Statistical inference for Markov processes. (Statistical Research Monographs. Vol. 2). Zbl 0106.34201
Billingsley, Patrick
189
1961
The Lindeberg-Levy theorem for martingales. Zbl 0129.10701
Billingsley, P.
147
1961
Statistical methods in Markov chains. Zbl 0104.12802
Billingsley, Patrick
86
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
43
1960
The invariance principle for dependent random variables. Zbl 0075.13703
Billingsley, Patrick
15
1956
Asymptotic distributions of two goodness of fit criteria. Zbl 0073.35605
Billingsley, Patrick
3
1956
all top 5

Cited by 8,856 Authors

83 Laurinčikas, Antanas
40 Horváth, Lajos
37 Peligrad, Magda
37 Whitt, Ward
35 Janson, Svante
35 Resnick, Sidney Ira
34 Lee, Sangyeol
32 Yin, Gang George
31 Berkes, István
27 Samorodnitsky, Gennady Pinkhosovich
24 Mikosch, Thomas
22 Taqqu, Murad S.
21 Glynn, Peter W.
21 Kushner, Harold J.
20 Basawa, Ishwar V.
20 Puri, Madan Lal
20 Sen, Pranab Kumar
19 Meerschaert, Mark M.
18 Artstein, Zvi
18 Fernández-Sánchez, Juan
18 Harel, Michel
18 Macaitienė, Renata
17 Bouzebda, Salim
17 Francq, Christian
17 Kabluchko, Zakhar A.
17 Kokoszka, Piotr S.
17 Ling, Shiqing
17 Surgailis, Donatas
17 Zhang, Li-Xin
16 Minkevičius, Saulius
16 Pardoux, Etienne
16 Volný, Dalibor
15 Iksanov, Aleksander M.
15 Koul, Hira Lal
15 López-Díaz, Miguel
15 Sun, Yeneng
14 Bai, Zhi-Dong
14 Ferger, Dietmar
14 Kifer, Yuri
14 Louchard, Guy
14 Pang, Guodong
14 Wang, Dehui
13 Albeverio, Sergio A.
13 Atar, Rami
13 Hušková, Marie
13 Komorowski, Tomasz
13 Limnios, Nikolaos
13 Philipp, Walter
13 Prakasa Rao, B. L. S.
13 Stute, Winfried
13 Woodroofe, Michael Barrett
13 Zakoïan, Jean-Michel
12 Borkar, Vivek Shripad
12 Davis, Richard A.
12 Denker, Manfred
12 Dette, Holger
12 Diaz Carrillo, Manuel
12 Díaz-García, José A.
12 Merlevède, Florence
12 Pap, Gyula
12 Paulauskas, Vygantas Ionovič
12 Phillips, Peter Charles Bonest
12 Račkauskas, Alfredas Yurgevich
12 Shao, Xiaofeng
12 Soulier, Philippe
12 Wu, Wei Biao
12 Yoshihara, Ken-ichi
12 Zhang, Qing
11 Babu, Gutti Jogesh
11 Balan, Raluca M.
11 Bhattacharya, Rabi N.
11 Dedecker, Jérôme
11 Dehling, Herold G.
11 Faggionato, Alessandra
11 Fraiman, Ricardo
11 Goldsman, David M.
11 Goldstein, Sheldon
11 Gorostiza, Luis G.
11 Hidalgo, Javier
11 Kallenberg, Olav
11 Liu, Wen
11 Mahmoud, Hosam M.
11 Rahimov, Ibrahim
11 van der Hofstad, Remco W.
11 Wang, Leyi
10 Aue, Alexander
10 Balder, Erik J.
10 Bingham, Nicholas Hugh
10 Bosq, Denis
10 Bradley, Richard C. jun.
10 Cavaliere, Giuseppe
10 De Amo, Enrique
10 de Haan, Laurens
10 Dombry, Clément
10 El Barmi, Hammou
10 González-Manteiga, Wenceslao
10 Grübel, Rudolf
10 Heinrich, Lothar
10 Klüppelberg, Claudia
10 Manstavičius, Eugenijus
...and 8,756 more Authors
all top 5

Cited in 643 Serials

506 Stochastic Processes and their Applications
395 Statistics & Probability Letters
259 Journal of Statistical Planning and Inference
231 Journal of Multivariate Analysis
213 Zeitschrift für Wahrscheinlichkeitstheorie und Verwandte Gebiete
196 The Annals of Applied Probability
192 Journal of Econometrics
173 Probability Theory and Related Fields
162 The Annals of Probability
151 Journal of Statistical Physics
145 The Annals of Statistics
142 Journal of Mathematical Analysis and Applications
130 Communications in Statistics. Theory and Methods
126 Journal of Theoretical Probability
123 Lithuanian Mathematical Journal
123 Bernoulli
110 Queueing Systems
109 Journal of Economic Theory
108 Journal of Applied Probability
101 Annals of the Institute of Statistical Mathematics
91 Communications in Mathematical Physics
77 Journal of Mathematical Economics
69 Transactions of the American Mathematical Society
66 Stochastic Analysis and Applications
65 Advances in Applied Probability
65 Computational Statistics and Data Analysis
63 Metrika
62 Electronic Journal of Statistics
60 Statistics
53 Annales de l’Institut Henri Poincaré. Probabilités et Statistiques
52 Theoretical Computer Science
51 Journal of Nonparametric Statistics
46 Journal of Time Series Analysis
46 Journal of Mathematical Sciences (New York)
45 Proceedings of the American Mathematical Society
43 Kybernetika
40 Journal of Soviet Mathematics
39 Stochastics
39 Econometric Theory
38 Economic Theory
37 Israel Journal of Mathematics
37 Advances in Mathematics
37 Fuzzy Sets and Systems
36 Monatshefte für Mathematik
34 Games and Economic Behavior
34 European Journal of Operational Research
33 Random Structures & Algorithms
33 Journal of Statistical Computation and Simulation
33 Extremes
33 Methodology and Computing in Applied Probability
32 Journal of Computational and Applied Mathematics
32 Physica D
31 Journal of Mathematical Biology
31 Journal of Functional Analysis
31 Test
31 Probability in the Engineering and Informational Sciences
30 Ukrainian Mathematical Journal
30 Economics Letters
30 Electronic Journal of Probability
29 Scandinavian Journal of Statistics
28 Mathematical Notes
28 Operations Research Letters
27 Insurance Mathematics & Economics
27 Annals of Operations Research
27 Comptes Rendus. Mathématique. Académie des Sciences, Paris
26 Journal of Differential Equations
26 Journal of Optimization Theory and Applications
26 Stochastic Models
25 Sequential Analysis
25 Statistical Papers
25 European Series in Applied and Industrial Mathematics (ESAIM): Probability and Statistics
24 Journal of Number Theory
24 Mathematische Nachrichten
24 Systems & Control Letters
24 Mathematical Methods of Statistics
24 Statistical Inference for Stochastic Processes
22 Mathematische Zeitschrift
22 Mathematical Programming. Series A. Series B
22 Stochastics and Dynamics
21 The Canadian Journal of Statistics
21 Applied Mathematics and Optimization
21 Automatica
21 Mathematical Social Sciences
21 Journal of Economic Dynamics & Control
21 Electronic Communications in Probability
20 Chaos, Solitons and Fractals
20 Acta Mathematica Sinica. English Series
19 Mathematical Biosciences
19 Mathematical Proceedings of the Cambridge Philosophical Society
19 Scandinavian Actuarial Journal
19 SIAM Journal on Control and Optimization
19 Acta Mathematica Hungarica
19 Information and Computation
18 Theory of Probability and its Applications
18 Annales Henri Poincaré
17 Journal of Approximation Theory
17 Statistica Neerlandica
17 Econometric Reviews
17 Theory of Probability and Mathematical Statistics
17 Journal of the Korean Statistical Society
...and 543 more Serials
all top 5

Cited in 60 Fields

4,716 Probability theory and stochastic processes (60-XX)
2,876 Statistics (62-XX)
785 Game theory, economics, finance, and other social and behavioral sciences (91-XX)
483 Operations research, mathematical programming (90-XX)
470 Measure and integration (28-XX)
433 Numerical analysis (65-XX)
390 Dynamical systems and ergodic theory (37-XX)
386 Statistical mechanics, structure of matter (82-XX)
370 Computer science (68-XX)
335 Number theory (11-XX)
283 Systems theory; control (93-XX)
268 Partial differential equations (35-XX)
248 Biology and other natural sciences (92-XX)
218 Combinatorics (05-XX)
142 Functional analysis (46-XX)
137 Calculus of variations and optimal control; optimization (49-XX)
130 Information and communication theory, circuits (94-XX)
118 Operator theory (47-XX)
108 Ordinary differential equations (34-XX)
103 Real functions (26-XX)
100 Quantum theory (81-XX)
91 General topology (54-XX)
87 Linear and multilinear algebra; matrix theory (15-XX)
77 Mathematical logic and foundations (03-XX)
75 Fluid mechanics (76-XX)
61 Harmonic analysis on Euclidean spaces (42-XX)
55 Functions of a complex variable (30-XX)
44 Approximations and expansions (41-XX)
39 Special functions (33-XX)
32 Convex and discrete geometry (52-XX)
31 Global analysis, analysis on manifolds (58-XX)
30 Differential geometry (53-XX)
29 Difference and functional equations (39-XX)
25 Mechanics of particles and systems (70-XX)
24 Abstract harmonic analysis (43-XX)
24 Integral transforms, operational calculus (44-XX)
22 Group theory and generalizations (20-XX)
20 Potential theory (31-XX)
17 Sequences, series, summability (40-XX)
17 Integral equations (45-XX)
17 Geophysics (86-XX)
16 Order, lattices, ordered algebraic structures (06-XX)
14 Topological groups, Lie groups (22-XX)
14 Manifolds and cell complexes (57-XX)
12 Algebraic topology (55-XX)
12 Mechanics of deformable solids (74-XX)
11 History and biography (01-XX)
9 Algebraic geometry (14-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)
3 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

Citations by Year

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