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## Pyke, Ronald

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 Author ID: pyke.ronald Published as: Pyke, R.; Pyke, Ron; Pyke, Ronald External Links: MGP
 Documents Indexed: 68 Publications since 1958, including 2 Books
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#### Co-Authors

 26 single-authored 5 Bass, Richard F. 5 Hobby, Charles R. 3 Schaufele, Ronald A. 3 Shorack, Galen R. 2 Adler, Robert Joseph 2 Gani, Joseph Mark 2 Hubert, Steven L. 2 Proschan, Frank 2 van Zwet, Willem Rutger 1 Alexander, Kenneth S. 1 Birnbaum, Zygmunt Wilhelm 1 Farewell, Vern T. 1 Gelzer, J. 1 Gideon, Rudy A. 1 Groeneboom, Piet 1 Heyde, Christopher Charles 1 Johns, Milton Vernon jun. 1 Krengel, Ulrich 1 Kwon, Joong Sung 1 Matthews, David E. 1 Moore, Erin H. 1 Ossiander, Mina E. 1 Prentice, Ross L. 1 Prokhorov, Yuriĭ Vasil’evich 1 Rachev, Svetlozar T. 1 Root, David 1 Shorack, R. A. 1 Smith, Carter Vincent
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#### Serials

 15 Annals of Mathematical Statistics 9 The Annals of Probability 4 Zeitschrift für Wahrscheinlichkeitstheorie und Verwandte Gebiete 4 Stochastic Processes and their Applications 3 Advances in Applied Probability 2 Biometrika 2 Pacific Journal of Mathematics 2 Journal of the Royal Statistical Society. Series B 1 The Canadian Journal of Statistics 1 Annals of the Institute of Statistical Mathematics 1 The Annals of Statistics 1 Journal of the American Statistical Association 1 Journal of Applied Probability 1 Mathematica Scandinavica 1 Statistica Sinica 1 Proceedings of the Cambridge Philosophical Society 1 Journal of Mathematics and Mechanics 1 Lecture Notes in Statistics
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#### Fields

 34 Probability theory and stochastic processes (60-XX) 21 Statistics (62-XX) 4 History and biography (01-XX) 3 General and overarching topics; collections (00-XX) 1 Combinatorics (05-XX) 1 Convex and discrete geometry (52-XX) 1 Operations research, mathematical programming (90-XX) 1 Biology and other natural sciences (92-XX)

#### Citations contained in zbMATH

49 Publications have been cited 956 times in 802 Documents Cited by Year
Logistic disease incidence models and case-control studies. Zbl 0428.62078
Prentice, R. L.; Pyke, R.
1979
Spacings. Zbl 0144.41704
Pyke, R.
1965
Markov renewal processes: definitions and preliminary properties. Zbl 0267.60089
Pyke, Ronald
1961
Markov renewal processes with finitely many states. Zbl 0201.49901
Pyke, R.
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.
1968
Limit theorems for Markov renewal processes. Zbl 0134.34602
Pyke, R.; Schaufele, R.
1964
Tests for monotone failure rate. Zbl 0203.22203
Proschan, F.; Pyke, Ronald
1967
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.
1985
The supremum and infimum of the Poisson process. Zbl 0089.13602
Pyke, Ronald
1959
Estimation of the transition distributions of a Markov renewal process. Zbl 0196.19103
Moore, Erin H.; Pyke, Ronald
1968
A uniform central limit theorem for set-indexed partial-sum processes with finite variance. Zbl 0595.60027
Alexander, Kenneth S.; Pyke, Ronald
1986
On convergence in r-mean of normalized partial sums. Zbl 0164.47303
Pyke, Ronald; Root, David
1968
The existence and uniqueness of stationary measures for Markov renewal processes. Zbl 0154.42901
Pyke, R.; Schaufele, R.
1966
Asymptotic normality of statistics based on the convex minorants of empirical distribution functions. Zbl 0521.62016
Groeneboom, Piet; Pyke, Ronald
1983
Spacings revisited. Zbl 0234.62008
Pyke, Ronald
1972
The asymptotic behavior of spacings under Kakutani’s model for interval subdivision. Zbl 0426.60031
Pyke, Ronald
1980
The space D(A) and weak convergence for set-indexed processes. Zbl 0585.60007
Bass, Richard F.; Pyke, Ronald
1985
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
1984
On renewal processes related to type I and type II counter models. Zbl 0086.33702
Pyke, Ronald
1958
Uniform quadratic variation for Gaussian processes. Zbl 0783.60040
1993
Applications of almost surely convergent constructions of weakly convergent processes. Zbl 0181.43602
Pyke, Ronald
1969
The weak convergence of the empirical process with random sample size. Zbl 0176.48903
Pyke, Ronald
1968
A strong law of large numbers for partial-sum processes indexed by sets. Zbl 0543.60036
Bass, Richard F.; Pyke, Ronald
1984
On some distributions related to the statistic $$D^+_n$$. Zbl 0089.14803
Birnbaum, Z. W.; Pyke, Ronald
1958
Uniform pointwise ergodic theorems for classes of averaging sets and multiparameter subadditive processes. Zbl 0642.60020
Krengel, U.; Pyke, R.
1987
Lévy’s Brownian motion as a set-indexed process and a related central limit theorem. Zbl 0585.60008
Ossiander, Mina; Pyke, Ronald
1985
A uniform central limit theorem for partial-sum processes indexed by sets. Zbl 0497.60030
Pyke, Ronald
1983
The existence of set-indexed Lévy processes. Zbl 0525.60079
Bass, Richard F.; Pyke, Ronald
1984
Weak convergence results for the Kakutani interval splitting procedure. Zbl 1049.60025
Pyke, Ronald; van Zwet, Willem R.
2004
Scanning Brownian processes. Zbl 0895.60042
1997
Weak convergence and a Chernoff-Savage theorem for random sample sizes. Zbl 0193.17703
Pyke, Ronald; Shorack, R.
1968
Markov renewal modelling of Poisson traffic at intersections having separate turn lanes. Zbl 0960.90011
Gideon, Rudy; Pyke, Ronald
1999
A central limit theorem for D(A)-valued processes. Zbl 0617.60020
Bass, Richard F.; Pyke, Ronald
1987
The content of a dam as the supremum of an infinitely divisible process. Zbl 0097.33803
Gani, J.; Pyke, R.
1960
Doubly stochastic operators obtained from positive operators. Zbl 0161.15003
Hobby, C.; Pyke, Ronald
1965
The Robbins-Isbell two-armed-bandit problem with finite memory. Zbl 0133.41701
Smith, Carter Vincent; Pyke, Ronald
1965
Combinatorial results in fluctuation theory. Zbl 0128.01701
Hobby, C.; Pyke, Ronald
1963
Remarks on the equivalence principle in fluctuation theory. Zbl 0125.08301
Hobby, C.; Pyke, Ronald
1963
Sequential estimation of functions of $$p$$ for Bernoulli trials. Zbl 0980.62063
Hubert, Steven L.; Pyke, Ronald
2000
A particular application of Brownian motion to sequential analysis. Zbl 0895.60087
Hubert, Steven L.; Pyke, Ronald
1997
Minimax one-sided Kolmogorov-type distribution-free tests. Zbl 0816.62036
Pyke, Ronald
1994
Asymptotic results for empirical and partial-sum processes: A review. Zbl 0574.62024
Pyke, Ronald
1984
The Haar-function construction of Brownian motion indexed by sets. Zbl 0506.60080
Pyke, Ronald
1983
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
1975
Markov renewal processes of zero order and their application to counter theory. Zbl 0116.36402
Pyke, R.
1962
Opportunities for set-indexed empirical and quantile processes in inference. Zbl 0646.62043
Pyke, Ronald
1985
Correction to: The existence and uniqueness of stationary measures for Markov-renewal processes. Zbl 0475.60078
Schaufele, Ronald A.; Pyke, Ronald
1981
Multidimensional empirical processes: Some comments. Zbl 0328.60006
Pyke, Ronald
1975
Asymptotic normality of certain test statistics of exponentiality. Zbl 0192.25803
Proschan, F.; Pyke, Ronald
1964
Weak convergence results for the Kakutani interval splitting procedure. Zbl 1049.60025
Pyke, Ronald; van Zwet, Willem R.
2004
Sequential estimation of functions of $$p$$ for Bernoulli trials. Zbl 0980.62063
Hubert, Steven L.; Pyke, Ronald
2000
Markov renewal modelling of Poisson traffic at intersections having separate turn lanes. Zbl 0960.90011
Gideon, Rudy; Pyke, Ronald
1999
Scanning Brownian processes. Zbl 0895.60042
1997
A particular application of Brownian motion to sequential analysis. Zbl 0895.60087
Hubert, Steven L.; Pyke, Ronald
1997
Minimax one-sided Kolmogorov-type distribution-free tests. Zbl 0816.62036
Pyke, Ronald
1994
Uniform quadratic variation for Gaussian processes. Zbl 0783.60040
1993
Uniform pointwise ergodic theorems for classes of averaging sets and multiparameter subadditive processes. Zbl 0642.60020
Krengel, U.; Pyke, R.
1987
A central limit theorem for D(A)-valued processes. Zbl 0617.60020
Bass, Richard F.; Pyke, Ronald
1987
A uniform central limit theorem for set-indexed partial-sum processes with finite variance. Zbl 0595.60027
Alexander, Kenneth S.; Pyke, Ronald
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.
1985
The space D(A) and weak convergence for set-indexed processes. Zbl 0585.60007
Bass, Richard F.; Pyke, Ronald
1985
Lévy’s Brownian motion as a set-indexed process and a related central limit theorem. Zbl 0585.60008
Ossiander, Mina; Pyke, Ronald
1985
Opportunities for set-indexed empirical and quantile processes in inference. Zbl 0646.62043
Pyke, Ronald
1985
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
1984
A strong law of large numbers for partial-sum processes indexed by sets. Zbl 0543.60036
Bass, Richard F.; Pyke, Ronald
1984
The existence of set-indexed Lévy processes. Zbl 0525.60079
Bass, Richard F.; Pyke, Ronald
1984
Asymptotic results for empirical and partial-sum processes: A review. Zbl 0574.62024
Pyke, Ronald
1984
Asymptotic normality of statistics based on the convex minorants of empirical distribution functions. Zbl 0521.62016
Groeneboom, Piet; Pyke, Ronald
1983
A uniform central limit theorem for partial-sum processes indexed by sets. Zbl 0497.60030
Pyke, Ronald
1983
The Haar-function construction of Brownian motion indexed by sets. Zbl 0506.60080
Pyke, Ronald
1983
Correction to: The existence and uniqueness of stationary measures for Markov-renewal processes. Zbl 0475.60078
Schaufele, Ronald A.; Pyke, Ronald
1981
The asymptotic behavior of spacings under Kakutani’s model for interval subdivision. Zbl 0426.60031
Pyke, Ronald
1980
Logistic disease incidence models and case-control studies. Zbl 0428.62078
Prentice, R. L.; Pyke, R.
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
1975
Multidimensional empirical processes: Some comments. Zbl 0328.60006
Pyke, Ronald
1975
Spacings revisited. Zbl 0234.62008
Pyke, Ronald
1972
Applications of almost surely convergent constructions of weakly convergent processes. Zbl 0181.43602
Pyke, Ronald
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.
1968
Estimation of the transition distributions of a Markov renewal process. Zbl 0196.19103
Moore, Erin H.; Pyke, Ronald
1968
On convergence in r-mean of normalized partial sums. Zbl 0164.47303
Pyke, Ronald; Root, David
1968
The weak convergence of the empirical process with random sample size. Zbl 0176.48903
Pyke, Ronald
1968
Weak convergence and a Chernoff-Savage theorem for random sample sizes. Zbl 0193.17703
Pyke, Ronald; Shorack, R.
1968
Tests for monotone failure rate. Zbl 0203.22203
Proschan, F.; Pyke, Ronald
1967
The existence and uniqueness of stationary measures for Markov renewal processes. Zbl 0154.42901
Pyke, R.; Schaufele, R.
1966
Spacings. Zbl 0144.41704
Pyke, R.
1965
Doubly stochastic operators obtained from positive operators. Zbl 0161.15003
Hobby, C.; Pyke, Ronald
1965
The Robbins-Isbell two-armed-bandit problem with finite memory. Zbl 0133.41701
Smith, Carter Vincent; Pyke, Ronald
1965
Limit theorems for Markov renewal processes. Zbl 0134.34602
Pyke, R.; Schaufele, R.
1964
Asymptotic normality of certain test statistics of exponentiality. Zbl 0192.25803
Proschan, F.; Pyke, Ronald
1964
Combinatorial results in fluctuation theory. Zbl 0128.01701
Hobby, C.; Pyke, Ronald
1963
Remarks on the equivalence principle in fluctuation theory. Zbl 0125.08301
Hobby, C.; Pyke, Ronald
1963
Markov renewal processes of zero order and their application to counter theory. Zbl 0116.36402
Pyke, R.
1962
Markov renewal processes: definitions and preliminary properties. Zbl 0267.60089
Pyke, Ronald
1961
Markov renewal processes with finitely many states. Zbl 0201.49901
Pyke, R.
1961
The content of a dam as the supremum of an infinitely divisible process. Zbl 0097.33803
Gani, J.; Pyke, R.
1960
The supremum and infimum of the Poisson process. Zbl 0089.13602
Pyke, Ronald
1959
On renewal processes related to type I and type II counter models. Zbl 0086.33702
Pyke, Ronald
1958
On some distributions related to the statistic $$D^+_n$$. Zbl 0089.14803
Birnbaum, Z. W.; Pyke, Ronald
1958
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#### Cited by 1,111 Authors

 21 Limnios, Nikolaos 10 Jammalamadaka, Sreenivasa Rao 9 Pyke, Ronald 9 Qin, Jing 9 Zhang, Biao 7 Bouzebda, Salim 7 Carroll, Raymond James 7 Fokianos, Konstantinos 6 Csörgő, Miklós 6 Janssen, Jacques 6 Puri, Madan Lal 6 Sen, Pranab Kumar 5 Bianchi, Gabriele 5 Chatterjee, Nilanjan 5 Chen, Jinbo 5 Devroye, Luc P. J. A. 5 Mitra, Murari 5 Mukherjee, Bhramar 5 Osaki, Shunji 5 Ouhbi, Brahim 4 Ahmad, Ibrahim A. 4 Barbe, Philippe 4 Cinlar, Erhan 4 Ferger, Dietmar 4 Georgiadis, Stylianos 4 Groeneboom, Piet 4 Hössjer, Ola G. 4 Jongbloed, Geurt 4 Manca, Raimondo 4 Mason, David M. 4 Merzbach, Ely 4 Scott, Alastair John 4 Stepanov, Aleksei Vasil’evich 4 Sumita, Ushio 4 Wang, Ching-Yun 4 Wyłupek, Grzegorz 4 Yu, Jichang 4 Zheng, Gang 4 Zhou, Haibo 3 Abouammoh, Abdulrahman M. 3 Afanaseva, Larisa G. 3 Anis, Md. Zafar 3 Bass, Richard F. 3 Beirlant, Jan 3 Belzunce, Félix 3 Borovskikh, Yuri V. 3 Butler, Ronald W. 3 Chen, Pingyan 3 Cheng, Kefei 3 Cheong, Choong K. 3 Cherenkov, A. P. 3 D’Amico, Guglielmo 3 Davidov, Ori 3 Ghosh, Malay 3 Golubev, Yuriĭ K. 3 Gut, Allan 3 Hall, Peter Gavin 3 Harel, Michel 3 Heagerty, Patrick J. 3 Holmgren, Cecilia Ingrid 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 Ma, Yanyuan 3 Milošević, Bojana 3 Mirakhmedov, Sherzod Mira’zam 3 Papadopoulou, Aleka A. 3 Perrin, Olivier 3 Qian, Lianfen 3 Ruiz, José-María 3 Rychlik, Tomasz 3 Schildcrout, Jonathan S. 3 Somayasa, Wayan 3 Swishchuk, Anatoliy 3 Théret, Marie 3 Tsaklidis, George M. 3 van Zuijlen, Martien C. A. 3 Wang, Suojin 3 Wellner, Jon August 3 Wu, Jingjing 3 Xu, Wenqing 3 Xu, Xingzhong 3 Zhou, Xian 2 Abu-Youssef, S. E. 2 Ahmed, A N. 2 Alfredsson, Lars 2 Alvarez-Andrade, Sergio 2 Aly, Emad-Eldin A. A. 2 Anderes, Ethan B. 2 Anis, Mohammed Z. 2 Arsham, Hossein 2 Averkov, Gennadiy 2 Barbu, Vlad Stefan ...and 1,011 more Authors
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#### Cited in 185 Serials

 65 Journal of Statistical Planning and Inference 62 Statistics & Probability Letters 40 Biometrics 34 Zeitschrift für Wahrscheinlichkeitstheorie und Verwandte Gebiete 34 Communications in Statistics. Theory and Methods 30 Stochastic Processes and their Applications 24 Annals of the Institute of Statistical Mathematics 23 The Annals of Statistics 21 Journal of Multivariate Analysis 18 The Canadian Journal of Statistics 16 Metrika 13 Journal of Nonparametric Statistics 13 Methodology and Computing in Applied Probability 12 Journal of Mathematical Analysis and Applications 9 The Annals of Probability 9 Journal of Soviet Mathematics 9 Probability Theory and Related Fields 9 Computational Statistics and Data Analysis 8 Journal of the American Statistical Association 8 Statistical Science 7 Statistics 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 Communications in Statistics. Simulation and Computation 6 Lifetime Data Analysis 6 Electronic Journal of Statistics 5 Advances in Applied Probability 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 Journal of Applied Statistics 5 Biostatistics 4 Lithuanian Mathematical Journal 4 Scandinavian Journal of Statistics 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 The Annals of Applied Statistics 3 Israel Journal of Mathematics 3 Journal of Statistical Physics 3 Mathematical Biosciences 3 Mathematical Notes 3 Biometrical Journal 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 Statistical Papers 3 Bernoulli 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 3 Journal of the Korean Statistical Society 2 International Journal of Systems Science 2 Moscow University Mathematics Bulletin 2 Ukrainian Mathematical Journal 2 Advances in Mathematics 2 Journal of Mathematical Psychology 2 Kybernetika 2 Acta Mathematica Hungarica 2 American Journal of Mathematical and Management Sciences 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 Statistical Inference for Stochastic Processes 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 Epidemiologic Methods 1 Acta Informatica 1 Acta Mathematica Academiae Scientiarum Hungaricae 1 Artificial Intelligence 1 Bulletin of the Australian Mathematical Society 1 Discrete Mathematics 1 Journal of the Franklin Institute 1 Journal of Mathematical Biology 1 Mathematical Proceedings of the Cambridge Philosophical Society 1 Periodica Mathematica Hungarica 1 Problems of Information Transmission ...and 85 more Serials
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#### Cited in 34 Fields

 507 Statistics (62-XX) 382 Probability theory and stochastic processes (60-XX) 67 Numerical analysis (65-XX) 44 Operations research, mathematical programming (90-XX) 40 Biology and other natural sciences (92-XX) 18 Game theory, economics, finance, and other social and behavioral sciences (91-XX) 15 Computer science (68-XX) 11 Information and communication theory, circuits (94-XX) 10 Combinatorics (05-XX) 10 Statistical mechanics, structure of matter (82-XX) 7 Measure and integration (28-XX) 7 Convex and discrete geometry (52-XX) 5 Systems theory; control (93-XX) 4 Approximations and expansions (41-XX) 4 Harmonic analysis on Euclidean spaces (42-XX) 3 History and biography (01-XX) 3 Number theory (11-XX) 3 Group theory and generalizations (20-XX) 3 Special functions (33-XX) 3 Partial differential equations (35-XX) 3 Calculus of variations and optimal control; optimization (49-XX) 2 Order, lattices, ordered algebraic structures (06-XX) 2 Integral transforms, operational calculus (44-XX) 2 Geophysics (86-XX) 1 Linear and multilinear algebra; matrix theory (15-XX) 1 Ordinary differential equations (34-XX) 1 Dynamical systems and ergodic theory (37-XX) 1 Difference and functional equations (39-XX) 1 Sequences, series, summability (40-XX) 1 Abstract harmonic analysis (43-XX) 1 Functional analysis (46-XX) 1 Operator theory (47-XX) 1 Differential geometry (53-XX) 1 Astronomy and astrophysics (85-XX)