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Pyke, Ronald (b. 1931 d. 2005)

Author ID: pyke.ronald Recent zbMATH articles by "Pyke, Ronald"
Published as: Pyke, Ronald; Pyke, R.; Pyke, Ron
External Links: MGP

Publications by Year

Citations contained in zbMATH Open

52 Publications have been cited 1,088 times in 914 Documents Cited by Year
Logistic disease incidence models and case-control studies. Zbl 0428.62078
Prentice, R. L.; Pyke, R.
185
1979
Some limit theorems for empirical processes (with discussion). Zbl 0553.60037
Giné, Evarist; Zinn, Joel
154
1984
Spacings. Zbl 0144.41704
Pyke, R.
149
1965
Markov renewal processes: definitions and preliminary properties. Zbl 0267.60089
Pyke, Ronald
88
1961
Markov renewal processes with finitely many states. Zbl 0201.49901
Pyke, R.
82
1961
Weak convergence of a two-sample empirical process and a new approach to Chernoff-Savage theorems. Zbl 0159.48004
Pyke, R.; Shorack, G. R.
56
1968
Limit theorems for Markov renewal processes. Zbl 0134.34602
Pyke, R.; Schaufele, R.
54
1964
Asymptotic score-statistic processes and tests for constant hazard against a change-point alternative. Zbl 0576.62032
Matthews, D. E.; Farewell, V. T.; Pyke, R.
45
1985
Tests for monotone failure rate. Zbl 0203.22203
Proschan, F.; Pyke, Ronald
45
1967
The supremum and infimum of the Poisson process. Zbl 0089.13602
Pyke, Ronald
35
1959
Estimation of the transition distributions of a Markov renewal process. Zbl 0196.19103
Moore, Erin H.; Pyke, Ronald
27
1968
On convergence in r-mean of normalized partial sums. Zbl 0164.47303
Pyke, Ronald; Root, David
23
1968
The existence and uniqueness of stationary measures for Markov renewal processes. Zbl 0154.42901
Pyke, R.; Schaufele, R.
22
1966
A uniform central limit theorem for set-indexed partial-sum processes with finite variance. Zbl 0595.60027
Alexander, Kenneth S.; Pyke, Ronald
22
1986
Asymptotic normality of statistics based on the convex minorants of empirical distribution functions. Zbl 0521.62016
Groeneboom, Piet; Pyke, Ronald
20
1983
Spacings revisited. Zbl 0234.62008
Pyke, Ronald
17
1972
Uniform pointwise ergodic theorems for classes of averaging sets and multiparameter subadditive processes. Zbl 0642.60020
Krengel, U.; Pyke, R.
14
1987
On renewal processes related to type I and type II counter models. Zbl 0086.33702
Pyke, Ronald
14
1958
The space D(A) and weak convergence for set-indexed processes. Zbl 0585.60007
Bass, Richard F.; Pyke, Ronald
14
1985
The asymptotic behavior of spacings under Kakutani’s model for interval subdivision. Zbl 0426.60031
Pyke, Ronald
13
1980
Uniform quadratic variation for Gaussian processes. Zbl 0783.60040
Adler, Robert J.; Pyke, Ron
13
1993
A strong law of large numbers for partial-sum processes indexed by sets. Zbl 0543.60036
Bass, Richard F.; Pyke, Ronald
12
1984
Applications of almost surely convergent constructions of weakly convergent processes. Zbl 0181.43602
Pyke, Ronald
12
1969
Functional law of the iterated logarithm and uniform central limit theorem for partial-sum processes indexed by sets. Zbl 0572.60037
Bass, Richard F.; Pyke, Ronald
12
1984
On some distributions related to the statistic \(D^+_n\). Zbl 0089.14803
Birnbaum, Z. W.; Pyke, Ronald
11
1958
The weak convergence of the empirical process with random sample size. Zbl 0176.48903
Pyke, Ronald
11
1968
Weak convergence results for the Kakutani interval splitting procedure. Zbl 1049.60025
Pyke, Ronald; van Zwet, Willem R.
9
2004
A uniform central limit theorem for partial-sum processes indexed by sets. Zbl 0497.60030
Pyke, Ronald
8
1983
Lévy’s Brownian motion as a set-indexed process and a related central limit theorem. Zbl 0585.60008
Ossiander, Mina; Pyke, Ronald
8
1985
The existence of set-indexed Lévy processes. Zbl 0525.60079
Bass, Richard F.; Pyke, Ronald
6
1984
Markov renewal modelling of Poisson traffic at intersections having separate turn lanes. Zbl 0960.90011
Gideon, Rudy; Pyke, Ronald
6
1999
Scanning Brownian processes. Zbl 0895.60042
Adler, Robert J.; Pyke, Ron
6
1997
Weak convergence and a Chernoff-Savage theorem for random sample sizes. Zbl 0193.17703
Pyke, Ronald; Shorack, R.
6
1968
Stochastic analysis . A tribute to the memory of Rollo Davidson. Zbl 0266.60038
6
1973
The content of a dam as the supremum of an infinitely divisible process. Zbl 0097.33803
Gani, J.; Pyke, R.
4
1960
Doubly stochastic operators obtained from positive operators. Zbl 0161.15003
Hobby, C.; Pyke, Ronald
4
1965
A central limit theorem for D(A)-valued processes. Zbl 0617.60020
Bass, Richard F.; Pyke, Ronald
4
1987
Remarks on the equivalence principle in fluctuation theory. Zbl 0125.08301
Hobby, C.; Pyke, Ronald
3
1963
Combinatorial results in fluctuation theory. Zbl 0128.01701
Hobby, C.; Pyke, Ronald
3
1963
The Robbins-Isbell two-armed-bandit problem with finite memory. Zbl 0133.41701
Smith, Carter Vincent; Pyke, Ronald
3
1965
Asymptotic results for empirical and partial-sum processes: A review. Zbl 0574.62024
Pyke, Ronald
3
1984
The Haar-function construction of Brownian motion indexed by sets. Zbl 0506.60080
Pyke, Ronald
2
1983
Sequential estimation of functions of \(p\) for Bernoulli trials. Zbl 0980.62063
Hubert, Steven L.; Pyke, Ronald
2
2000
Markov renewal processes of zero order and their application to counter theory. Zbl 0116.36402
Pyke, R.
2
1962
Empirical processes. Zbl 0271.60013
Pyke, Ronald
2
1972
Correction to ’Weak convergence of a two-sample empirical process and a new approach to Chernoff-Savage theorems’. Zbl 0318.62017
Pyke, Ronald; Shorack, Galen
2
1975
Multidimensional empirical processes: Some comments. Zbl 0328.60006
Pyke, Ronald
2
1975
A particular application of Brownian motion to sequential analysis. Zbl 0895.60087
Hubert, Steven L.; Pyke, Ronald
2
1997
Minimax one-sided Kolmogorov-type distribution-free tests. Zbl 0816.62036
Pyke, Ronald
2
1994
Opportunities for set-indexed empirical and quantile processes in inference. Zbl 0646.62043
Pyke, Ronald
1
1985
Asymptotic normality of certain test statistics of exponentiality. Zbl 0192.25803
Proschan, F.; Pyke, Ronald
1
1964
Correction to: The existence and uniqueness of stationary measures for Markov-renewal processes. Zbl 0475.60078
Schaufele, Ronald A.; Pyke, Ronald
1
1981
Weak convergence results for the Kakutani interval splitting procedure. Zbl 1049.60025
Pyke, Ronald; van Zwet, Willem R.
9
2004
Sequential estimation of functions of \(p\) for Bernoulli trials. Zbl 0980.62063
Hubert, Steven L.; Pyke, Ronald
2
2000
Markov renewal modelling of Poisson traffic at intersections having separate turn lanes. Zbl 0960.90011
Gideon, Rudy; Pyke, Ronald
6
1999
Scanning Brownian processes. Zbl 0895.60042
Adler, Robert J.; Pyke, Ron
6
1997
A particular application of Brownian motion to sequential analysis. Zbl 0895.60087
Hubert, Steven L.; Pyke, Ronald
2
1997
Minimax one-sided Kolmogorov-type distribution-free tests. Zbl 0816.62036
Pyke, Ronald
2
1994
Uniform quadratic variation for Gaussian processes. Zbl 0783.60040
Adler, Robert J.; Pyke, Ron
13
1993
Uniform pointwise ergodic theorems for classes of averaging sets and multiparameter subadditive processes. Zbl 0642.60020
Krengel, U.; Pyke, R.
14
1987
A central limit theorem for D(A)-valued processes. Zbl 0617.60020
Bass, Richard F.; Pyke, Ronald
4
1987
A uniform central limit theorem for set-indexed partial-sum processes with finite variance. Zbl 0595.60027
Alexander, Kenneth S.; Pyke, Ronald
22
1986
Asymptotic score-statistic processes and tests for constant hazard against a change-point alternative. Zbl 0576.62032
Matthews, D. E.; Farewell, V. T.; Pyke, R.
45
1985
The space D(A) and weak convergence for set-indexed processes. Zbl 0585.60007
Bass, Richard F.; Pyke, Ronald
14
1985
Lévy’s Brownian motion as a set-indexed process and a related central limit theorem. Zbl 0585.60008
Ossiander, Mina; Pyke, Ronald
8
1985
Opportunities for set-indexed empirical and quantile processes in inference. Zbl 0646.62043
Pyke, Ronald
1
1985
Some limit theorems for empirical processes (with discussion). Zbl 0553.60037
Giné, Evarist; Zinn, Joel
154
1984
A strong law of large numbers for partial-sum processes indexed by sets. Zbl 0543.60036
Bass, Richard F.; Pyke, Ronald
12
1984
Functional law of the iterated logarithm and uniform central limit theorem for partial-sum processes indexed by sets. Zbl 0572.60037
Bass, Richard F.; Pyke, Ronald
12
1984
The existence of set-indexed Lévy processes. Zbl 0525.60079
Bass, Richard F.; Pyke, Ronald
6
1984
Asymptotic results for empirical and partial-sum processes: A review. Zbl 0574.62024
Pyke, Ronald
3
1984
Asymptotic normality of statistics based on the convex minorants of empirical distribution functions. Zbl 0521.62016
Groeneboom, Piet; Pyke, Ronald
20
1983
A uniform central limit theorem for partial-sum processes indexed by sets. Zbl 0497.60030
Pyke, Ronald
8
1983
The Haar-function construction of Brownian motion indexed by sets. Zbl 0506.60080
Pyke, Ronald
2
1983
Correction to: The existence and uniqueness of stationary measures for Markov-renewal processes. Zbl 0475.60078
Schaufele, Ronald A.; Pyke, Ronald
1
1981
The asymptotic behavior of spacings under Kakutani’s model for interval subdivision. Zbl 0426.60031
Pyke, Ronald
13
1980
Logistic disease incidence models and case-control studies. Zbl 0428.62078
Prentice, R. L.; Pyke, R.
185
1979
Correction to ’Weak convergence of a two-sample empirical process and a new approach to Chernoff-Savage theorems’. Zbl 0318.62017
Pyke, Ronald; Shorack, Galen
2
1975
Multidimensional empirical processes: Some comments. Zbl 0328.60006
Pyke, Ronald
2
1975
Stochastic analysis . A tribute to the memory of Rollo Davidson. Zbl 0266.60038
6
1973
Spacings revisited. Zbl 0234.62008
Pyke, Ronald
17
1972
Empirical processes. Zbl 0271.60013
Pyke, Ronald
2
1972
Applications of almost surely convergent constructions of weakly convergent processes. Zbl 0181.43602
Pyke, Ronald
12
1969
Weak convergence of a two-sample empirical process and a new approach to Chernoff-Savage theorems. Zbl 0159.48004
Pyke, R.; Shorack, G. R.
56
1968
Estimation of the transition distributions of a Markov renewal process. Zbl 0196.19103
Moore, Erin H.; Pyke, Ronald
27
1968
On convergence in r-mean of normalized partial sums. Zbl 0164.47303
Pyke, Ronald; Root, David
23
1968
The weak convergence of the empirical process with random sample size. Zbl 0176.48903
Pyke, Ronald
11
1968
Weak convergence and a Chernoff-Savage theorem for random sample sizes. Zbl 0193.17703
Pyke, Ronald; Shorack, R.
6
1968
Tests for monotone failure rate. Zbl 0203.22203
Proschan, F.; Pyke, Ronald
45
1967
The existence and uniqueness of stationary measures for Markov renewal processes. Zbl 0154.42901
Pyke, R.; Schaufele, R.
22
1966
Spacings. Zbl 0144.41704
Pyke, R.
149
1965
Doubly stochastic operators obtained from positive operators. Zbl 0161.15003
Hobby, C.; Pyke, Ronald
4
1965
The Robbins-Isbell two-armed-bandit problem with finite memory. Zbl 0133.41701
Smith, Carter Vincent; Pyke, Ronald
3
1965
Limit theorems for Markov renewal processes. Zbl 0134.34602
Pyke, R.; Schaufele, R.
54
1964
Asymptotic normality of certain test statistics of exponentiality. Zbl 0192.25803
Proschan, F.; Pyke, Ronald
1
1964
Remarks on the equivalence principle in fluctuation theory. Zbl 0125.08301
Hobby, C.; Pyke, Ronald
3
1963
Combinatorial results in fluctuation theory. Zbl 0128.01701
Hobby, C.; Pyke, Ronald
3
1963
Markov renewal processes of zero order and their application to counter theory. Zbl 0116.36402
Pyke, R.
2
1962
Markov renewal processes: definitions and preliminary properties. Zbl 0267.60089
Pyke, Ronald
88
1961
Markov renewal processes with finitely many states. Zbl 0201.49901
Pyke, R.
82
1961
The content of a dam as the supremum of an infinitely divisible process. Zbl 0097.33803
Gani, J.; Pyke, R.
4
1960
The supremum and infimum of the Poisson process. Zbl 0089.13602
Pyke, Ronald
35
1959
On renewal processes related to type I and type II counter models. Zbl 0086.33702
Pyke, Ronald
14
1958
On some distributions related to the statistic \(D^+_n\). Zbl 0089.14803
Birnbaum, Z. W.; Pyke, Ronald
11
1958
all top 5

Cited by 1,238 Authors

26 Limnios, Nikolaos
13 Qin, Jing
12 Jammalamadaka, Sreenivasa Rao
10 Bouzebda, Salim
10 Stepanov, Aleksei Vasil’evich
9 Pyke, Ronald
9 Zhang, Biao
8 Carroll, Raymond James
7 Fokianos, Konstantinos
7 Mitra, Murari
6 Csörgő, Miklós
6 Janssen, Jacques
6 Lando, Tommaso
6 Puri, Madan Lal
6 Sen, Pranab Kumar
5 Anis, Mohammed Zafar
5 Berred, Alexandre M.
5 Bianchi, Gabriele
5 Chatterjee, Nilanjan
5 Chen, Jinbo
5 Devroye, Luc P. J. A.
5 Ferger, Dietmar
5 Georgiadis, Stylianos
5 Groeneboom, Piet
5 Harel, Michel
5 Holmgren, Cecilia Ingrid
5 Kayal, Suchandan
5 Mukherjee, Bhramar
5 Osaki, Shunji
5 Ouhbi, Brahim
5 Tahmasebi, Saeid
5 Yu, Jichang
5 Zhou, Haibo
4 Ahmad, Ibrahim A.
4 Balakrishnan, Narayanaswamy
4 Barbe, Philippe
4 Barbu, Vlad Stefan
4 Beirlant, Jan
4 Butler, Ronald W.
4 Cinlar, Erhan
4 Dachian, Sergueï
4 Jongbloed, Geurt
4 Lin, Yuanyuan
4 Ma, Yanyuan
4 Manca, Raimondo
4 Merzbach, Ely
4 Qian, Lianfen
4 Schildcrout, Jonathan S.
4 Scott, Alastair John
4 Sumita, Ushio
4 van Zuijlen, Martien C. A.
4 Wang, Ching-Yun
4 Wu, Jingjing
4 Wyłupek, Grzegorz
4 Xu, Wenqing
4 Zheng, Gang
3 Abouammoh, Abdulrahman M.
3 Afanas’eva, Larisa Grigor’evna
3 Alvarez-Andrade, Sergio
3 Arab, Idir
3 Bass, Richard F.
3 Belzunce, Félix
3 Borovskikh, Yuri V.
3 Braides, Andrea
3 Chen, Pingyan
3 Cheong, Choong K.
3 Cherenkov, A. P.
3 D’Amico, Guglielmo
3 Davidov, Ori
3 Foroghi, Farid
3 Ghosh, Malay
3 Gut, Allan
3 Hall, Peter Gavin
3 Haneuse, Sebastien J.-P. A.
3 Heagerty, Patrick J.
3 Horváth, Lajos
3 Ivanoff, B. Gail
3 Karunamuni, Rohana J.
3 Kedem, Benjamin
3 Khamis, Harry J.
3 Khoshnevisan, Davar
3 Kshirsagar, Anant M.
3 Li, Yunxia
3 Lin, Danyu
3 Liu, Yanyan
3 Liu, Yukun
3 Loh, Wei-Liem
3 Longobardi, Maria
3 Macci, Claudio
3 Mason, David M.
3 Milošević, Bojana
3 Mirakhmedov, Sherzod Mira’zam
3 Oliveira, Paulo Eduardo
3 Papadopoulou, Aleka A.
3 Perrin, Olivier
3 Ruiz, José-María
3 Rychlik, Tomasz
3 Somayasa, Wayan
3 Sullivan Pepe, Margaret
3 Swishchuk, Anatoliy
...and 1,138 more Authors
all top 5

Cited in 213 Serials

68 Journal of Statistical Planning and Inference
65 Statistics & Probability Letters
46 Biometrics
41 Communications in Statistics. Theory and Methods
38 Zeitschrift für Wahrscheinlichkeitstheorie und Verwandte Gebiete
29 Stochastic Processes and their Applications
25 Annals of the Institute of Statistical Mathematics
25 The Annals of Statistics
20 Journal of Multivariate Analysis
18 The Canadian Journal of Statistics
17 Metrika
15 Journal of Nonparametric Statistics
15 Methodology and Computing in Applied Probability
13 Journal of Mathematical Analysis and Applications
12 Probability Theory and Related Fields
12 Communications in Statistics. Simulation and Computation
11 Statistics
10 Journal of the American Statistical Association
10 Electronic Journal of Statistics
9 The Annals of Probability
9 Journal of Soviet Mathematics
9 Statistical Science
9 Computational Statistics and Data Analysis
9 Journal of Applied Statistics
7 Advances in Applied Probability
7 The Annals of Applied Probability
7 Journal of Statistical Computation and Simulation
7 Journal of Statistical Theory and Practice
6 Computers & Mathematics with Applications
6 Journal of Theoretical Probability
6 Statistical Papers
6 Lifetime Data Analysis
6 Statistical Inference for Stochastic Processes
6 The Annals of Applied Statistics
5 Scandinavian Journal of Statistics
5 Applied Mathematics and Computation
5 Journal of Applied Probability
5 Journal of Econometrics
5 Insurance Mathematics & Economics
5 Queueing Systems
5 Annales de l’Institut Henri Poincaré. Nouvelle Série. Section B. Calcul des Probabilités et Statistique
5 Biostatistics
4 Lithuanian Mathematical Journal
4 Biometrical Journal
4 Advances in Applied Mathematics
4 Stochastic Analysis and Applications
4 European Journal of Operational Research
4 Linear Algebra and its Applications
4 Annales de l’Institut Henri Poincaré. Probabilités et Statistiques
4 Test
4 Journal of Mathematical Sciences (New York)
4 Bernoulli
4 Journal of the Korean Statistical Society
3 Israel Journal of Mathematics
3 Journal of Statistical Physics
3 Mathematical Biosciences
3 Mathematical Notes
3 International Journal of Mathematics and Mathematical Sciences
3 The Journal of Mathematical Sociology
3 Proceedings of the American Mathematical Society
3 Statistica Neerlandica
3 Theoretical Population Biology
3 Transactions of the American Mathematical Society
3 Sequential Analysis
3 Economic Quality Control
3 Zeitschrift für Operations Research. Serie A: Theorie
3 European Series in Applied and Industrial Mathematics (ESAIM): Probability and Statistics
3 Journal of the Royal Statistical Society. Series B. Statistical Methodology
3 Probability in the Engineering and Informational Sciences
3 Statistical Methodology
3 Bulletin of the American Mathematical Society
2 International Journal of Systems Science
2 Moscow University Mathematics Bulletin
2 Physica A
2 Problems of Information Transmission
2 Ukrainian Mathematical Journal
2 Advances in Mathematics
2 Journal of Functional Analysis
2 Journal of Mathematical Psychology
2 Kybernetika
2 Monatshefte für Mathematik
2 Acta Mathematica Hungarica
2 American Journal of Mathematical and Management Sciences
2 Acta Mathematicae Applicatae Sinica. English Series
2 Discrete Event Dynamic Systems
2 Applied Mathematical Modelling
2 Statistische Hefte
2 Applied Mathematics. Series B (English Edition)
2 Theory of Probability and Mathematical Statistics
2 Mathematical Methods of Statistics
2 The Electronic Journal of Combinatorics
2 Statistica Sinica
2 Journal of Inequalities and Applications
2 Discrete and Continuous Dynamical Systems. Series B
2 Stochastic Models
2 Statistical Modelling
2 Statistical Applications in Genetics and Molecular Biology
2 Kodai Mathematical Seminar Reports
2 Naval Research Logistics Quarterly
2 Sankhyā. Series A
...and 113 more Serials
all top 5

Cited in 38 Fields

591 Statistics (62-XX)
430 Probability theory and stochastic processes (60-XX)
71 Numerical analysis (65-XX)
46 Operations research, mathematical programming (90-XX)
41 Biology and other natural sciences (92-XX)
22 Information and communication theory, circuits (94-XX)
19 Game theory, economics, finance, and other social and behavioral sciences (91-XX)
17 Computer science (68-XX)
16 Combinatorics (05-XX)
14 Statistical mechanics, structure of matter (82-XX)
8 Measure and integration (28-XX)
8 Convex and discrete geometry (52-XX)
7 Calculus of variations and optimal control; optimization (49-XX)
6 Partial differential equations (35-XX)
6 Systems theory; control (93-XX)
5 Number theory (11-XX)
5 Harmonic analysis on Euclidean spaces (42-XX)
4 History and biography (01-XX)
4 Approximations and expansions (41-XX)
3 Group theory and generalizations (20-XX)
3 Special functions (33-XX)
3 Dynamical systems and ergodic theory (37-XX)
2 Order, lattices, ordered algebraic structures (06-XX)
2 Ordinary differential equations (34-XX)
2 Integral transforms, operational calculus (44-XX)
2 Operator theory (47-XX)
2 Mechanics of deformable solids (74-XX)
2 Geophysics (86-XX)
1 Linear and multilinear algebra; matrix theory (15-XX)
1 Real functions (26-XX)
1 Difference and functional equations (39-XX)
1 Sequences, series, summability (40-XX)
1 Abstract harmonic analysis (43-XX)
1 Integral equations (45-XX)
1 Functional analysis (46-XX)
1 Differential geometry (53-XX)
1 Optics, electromagnetic theory (78-XX)
1 Astronomy and astrophysics (85-XX)

Citations by Year