## Tomkins, R. James

Compute Distance To:
 Author ID: tomkins.r-james Published as: Tomkins, R. J.; Tomkins, R. James
 Documents Indexed: 53 Publications since 1971 Reviewing Activity: 117 Reviews Co-Authors: 14 Co-Authors with 21 Joint Publications 387 Co-Co-Authors
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### Co-Authors

 31 single-authored 5 Li, Deli 5 Wang, Chunglie 3 Iwamoto, Seiichi 3 Wang, Hong 2 Bhaskara Rao, M. 2 Li, Michael Z. F. 1 Ahmad, S. E. 1 Ahmed, Syed Ejaz 1 Hsu, Leetsch Charles 1 Khan, Rasul A. 1 Klass, Michael J. 1 Lin, Yuanlie 1 Liu, Wen 1 Resnick, Sidney Ira
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### Serials

 7 Statistics & Probability Letters 6 The Annals of Probability 5 Journal of Theoretical Probability 4 The Canadian Journal of Statistics 3 Zeitschrift für Wahrscheinlichkeitstheorie und Verwandte Gebiete 2 Journal of Mathematical Analysis and Applications 2 Journal of Applied Probability 2 Proceedings of the American Mathematical Society 2 Pakistan Journal of Statistics 2 Annals of Mathematical Statistics 1 Acta Mathematica Academiae Scientiarum Hungaricae 1 BIT 1 Canadian Mathematical Bulletin 1 Journal of Multivariate Analysis 1 Journal of Statistical Planning and Inference 1 Pacific Journal of Mathematics 1 Transactions of the American Mathematical Society 1 Journal of Mathematics. Wuhan University 1 Acta Mathematicae Applicatae Sinica. English Series 1 Journal of Applied Statistical Science 1 Extremes
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### Fields

 42 Probability theory and stochastic processes (60-XX) 10 Statistics (62-XX) 5 Real functions (26-XX) 4 Operations research, mathematical programming (90-XX) 3 Calculus of variations and optimal control; optimization (49-XX) 1 Number theory (11-XX) 1 Approximations and expansions (41-XX) 1 Numerical analysis (65-XX)

### Citations contained in zbMATH Open

33 Publications have been cited 151 times in 111 Documents Cited by Year
Almost sure stability of maxima. Zbl 0258.60025
Resnick, Sidney I.; Tomkins, R. J.
1973
On conditional medians. Zbl 0307.60002
Tomkins, R. J.
1975
The law of the logarithm for weighted sums of independent random variables. Zbl 1031.60025
Li, D.; Tomkins, R. J.
2003
Iterated logarithm results for weighted averages of martingale difference sequences. Zbl 0302.60019
Tomkins, R. J.
1975
Regular variation and the stability of maxima. Zbl 0593.60042
Tomkins, R. J.
1986
A strong law for $$B$$-valued arrays. Zbl 0856.60008
Li, Deli; Bhaskara Rao, M.; Tomkins, R. J.
1995
An iterated logarithm theorem for some weighted averages of independent random variables. Zbl 0217.50002
Tomkins, R. J.
1971
Laws of the iterated logarithm for weighted sums of independent random variables. Zbl 0859.60031
Li, Deli; Tomkins, R. J.
1996
Convergence properties of conditional medians. Zbl 0399.60025
Tomkins, R. J.
1978
Strong limit theorems for certain arrays of random variables. Zbl 0339.60020
Tomkins, R. J.
1976
On the law of the iterated logarithm. Zbl 0376.60032
Tomkins, R. J.
1978
Lindeberg functions and the law of the iterated logarithm. Zbl 0506.60023
Tomkins, R. J.
1983
Some theorems on reverse inequalities. Zbl 0606.26014
Iwamoto, Seiichi; Tomkins, R. J.; Wang, Chung-Lie
1986
The law of the iterated logarithm and central limit theorem for $$L$$-statistics. Zbl 1019.60028
Li, Deli; Bhaskara Rao, M.; Tomkins, R. J.
2001
A law of the iterated logarithm for martingales. Zbl 0299.60045
Tomkins, R. J.
1975
Inequalities and mathematical programming. III. Zbl 0639.26014
Iwamoto, S.; Tomkins, R. J.; Wang, Chung-lie
1987
Optimal models for the first arrival time distribution function in continuous time – with a special case. Zbl 0831.90121
Lin, Yuanlie; Tomkins, R. J.; Wang, Chunglie
1994
Limit theorems without moment hypotheses for sums of independent random variables. Zbl 0432.60034
Tomkins, R. J.
1980
Some iterated logarithm results related to the central limit theorem. Zbl 0215.53302
Tomkins, R. J.
1971
Complete stability of large order statistics. Zbl 0714.62043
Li, Z. F.; Tomkins, R. J.
1991
Properties of martingale-like sequences. Zbl 0299.60046
Tomkins, R. James
1975
Estimating lognormal means using uncertain prior information. Zbl 0860.62026
Ahmad, S. E.; Tomkins, R. J.
1995
Rates of convergence for the stability of large order statistics. Zbl 0885.60025
Tomkins, R. J.
1996
Refinements of the Dubins-Savage inequality. Zbl 0966.60008
Khan, Rasul A.; Tomkins, R. J.
2000
Stability theorems for maxima of dependent sequences. Zbl 0758.60027
Li, Michael Z. F.; Tomkins, R. J.
1992
Compact laws of the iterated logarithm for $$B$$-valued random variables with two-dimensional indices. Zbl 0912.60005
Li, Deli; Tomkins, R. J.
1998
A generalization of Kolmogorov’s law of the iterated logarithm. Zbl 0212.20506
Tomkins, R. J.
1972
On the limiting behavior of normed sums of independent random variables. Zbl 0552.60026
Klass, M. J.; Tomkins, R. J.
1984
Martingale generalizations and preservation of martingale properties. Zbl 0552.60040
Tomkins, R. James
1984
Stability theorems for large order statistics with varying ranks. Zbl 0761.62062
Tomkins, R. J.; Wang, Hong
1992
A zero-one law for large order statistics. Zbl 0763.60014
Wang, H.; Tomkins, R. J.
1992
Rates of convergence for tail series. Zbl 0815.60027
Tomkins, R. J.
1995
Stability of maxima of random variables with multidimensional indices. Zbl 1088.60024
Li, Michael Z. F.; Tomkins, R. J.
2004
Stability of maxima of random variables with multidimensional indices. Zbl 1088.60024
Li, Michael Z. F.; Tomkins, R. J.
2004
The law of the logarithm for weighted sums of independent random variables. Zbl 1031.60025
Li, D.; Tomkins, R. J.
2003
The law of the iterated logarithm and central limit theorem for $$L$$-statistics. Zbl 1019.60028
Li, Deli; Bhaskara Rao, M.; Tomkins, R. J.
2001
Refinements of the Dubins-Savage inequality. Zbl 0966.60008
Khan, Rasul A.; Tomkins, R. J.
2000
Compact laws of the iterated logarithm for $$B$$-valued random variables with two-dimensional indices. Zbl 0912.60005
Li, Deli; Tomkins, R. J.
1998
Laws of the iterated logarithm for weighted sums of independent random variables. Zbl 0859.60031
Li, Deli; Tomkins, R. J.
1996
Rates of convergence for the stability of large order statistics. Zbl 0885.60025
Tomkins, R. J.
1996
A strong law for $$B$$-valued arrays. Zbl 0856.60008
Li, Deli; Bhaskara Rao, M.; Tomkins, R. J.
1995
Estimating lognormal means using uncertain prior information. Zbl 0860.62026
Ahmad, S. E.; Tomkins, R. J.
1995
Rates of convergence for tail series. Zbl 0815.60027
Tomkins, R. J.
1995
Optimal models for the first arrival time distribution function in continuous time – with a special case. Zbl 0831.90121
Lin, Yuanlie; Tomkins, R. J.; Wang, Chunglie
1994
Stability theorems for maxima of dependent sequences. Zbl 0758.60027
Li, Michael Z. F.; Tomkins, R. J.
1992
Stability theorems for large order statistics with varying ranks. Zbl 0761.62062
Tomkins, R. J.; Wang, Hong
1992
A zero-one law for large order statistics. Zbl 0763.60014
Wang, H.; Tomkins, R. J.
1992
Complete stability of large order statistics. Zbl 0714.62043
Li, Z. F.; Tomkins, R. J.
1991
Inequalities and mathematical programming. III. Zbl 0639.26014
Iwamoto, S.; Tomkins, R. J.; Wang, Chung-lie
1987
Regular variation and the stability of maxima. Zbl 0593.60042
Tomkins, R. J.
1986
Some theorems on reverse inequalities. Zbl 0606.26014
Iwamoto, Seiichi; Tomkins, R. J.; Wang, Chung-Lie
1986
On the limiting behavior of normed sums of independent random variables. Zbl 0552.60026
Klass, M. J.; Tomkins, R. J.
1984
Martingale generalizations and preservation of martingale properties. Zbl 0552.60040
Tomkins, R. James
1984
Lindeberg functions and the law of the iterated logarithm. Zbl 0506.60023
Tomkins, R. J.
1983
Limit theorems without moment hypotheses for sums of independent random variables. Zbl 0432.60034
Tomkins, R. J.
1980
Convergence properties of conditional medians. Zbl 0399.60025
Tomkins, R. J.
1978
On the law of the iterated logarithm. Zbl 0376.60032
Tomkins, R. J.
1978
Strong limit theorems for certain arrays of random variables. Zbl 0339.60020
Tomkins, R. J.
1976
On conditional medians. Zbl 0307.60002
Tomkins, R. J.
1975
Iterated logarithm results for weighted averages of martingale difference sequences. Zbl 0302.60019
Tomkins, R. J.
1975
A law of the iterated logarithm for martingales. Zbl 0299.60045
Tomkins, R. J.
1975
Properties of martingale-like sequences. Zbl 0299.60046
Tomkins, R. James
1975
Almost sure stability of maxima. Zbl 0258.60025
Resnick, Sidney I.; Tomkins, R. J.
1973
A generalization of Kolmogorov’s law of the iterated logarithm. Zbl 0212.20506
Tomkins, R. J.
1972
An iterated logarithm theorem for some weighted averages of independent random variables. Zbl 0217.50002
Tomkins, R. J.
1971
Some iterated logarithm results related to the central limit theorem. Zbl 0215.53302
Tomkins, R. J.
1971
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### Cited by 126 Authors

 17 Tomkins, R. James 8 Li, Deli 7 Chen, Pingyan 5 Rosalsky, Andrew 4 Qi, Yongcheng 3 Dembińska, Anna 3 Gut, Allan 3 Hu, Tienchung 2 Berrendero, Jose Ramon 2 Cárcamo, Javier 2 Chow, Yuan Shih 2 Einmahl, Uwe 2 Gao, Zheng 2 Gather, Ursula 2 Guo, Xianping 2 Huang, Yonghui 2 Hüsler, Jürg 2 Khan, Hafiz M. R. 2 Khan, Rasul A. 2 Koike, Yuta 2 Landers, Dieter 2 Li, Michael Z. F. 2 Naveau, Philippe 2 Rogge, Lothar 2 Stadtmüller, Ulrich 2 Stoev, Stilian A. 2 Sung, Soohak 2 Takemura, Akimichi 2 Teicher, Henry 2 Tomkins, Jim 2 Yuan, Demei 1 Ahmed, Syed Ejaz 1 Alvarez-Andrade, Sergio 1 Augustynowicz, Aneta 1 Barme-Delcroix, Marie-Francoise 1 Bercu, Bernard 1 Bhaskara Rao, M. 1 Bouzar, Nadjib 1 Brito, Margarida 1 Buraczyńska, Aneta 1 Capderou, Sami 1 Chen, Ran 1 Clarke, Bertrand S. 1 Csörgő, Miklós 1 Dabrowski, André Robert 1 Dao Quang Tuyen 1 Dembo, Amir 1 Diebolt, Jean 1 Durrieu, Gilles 1 Fahrner, Ingo 1 Feng, Xinwei 1 Fisher, Evan 1 Fu, Ke’ang 1 Fukushima, Ryoki 1 Ghosh, Yashowanto N. 1 Guan, Zongping 1 Guillou, Armelle 1 Hall, Peter Gavin 1 Hao, Chunyan 1 Hao, Shunli 1 Hashorva, Enkelejd 1 Hoffmann-Jørgensen, Jørgen 1 Hu, Xuemei 1 Huang, Wei 1 Iwamoto, Seiichi 1 Kartsioukas, Rafail 1 Kawka, Rafael 1 Kira, Akifumi 1 Klass, Michael J. 1 Kubota, Naoki 1 Kumon, Masayuki 1 Lafaye de Micheaux, Pierre 1 Lee, Jaeyong 1 Léger, Christian 1 Li, Shunjing 1 Lin, Yuanlie 1 Lita da Silva, João 1 Liu, Quansheng 1 Liu, Xiangdong 1 Ma, Xiaofang 1 Maller, Ross Arthur 1 Matsak, Ivan K. 1 McLeish, Donald L. 1 Merkle, Milan J. 1 Miao, Yu 1 Mikosch, Thomas 1 Miyabe, Kenshi 1 Molchanov, Ilya S. 1 Mukherjee, Bhramar 1 Nadarajah, Saralees 1 Nayak, S. S. 1 Norvaiša, Rimas 1 O’Brien, George L. 1 Oh, Heeseok 1 Pečarić, Josip 1 Peng, Liang 1 Peng, Zuoxiang 1 Picco, Pierre 1 Plichko, Anatoliĭ Mykolaĭovych 1 Ramamoorthy, Venkataraghavan ...and 26 more Authors
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### Cited in 40 Serials

 21 Statistics & Probability Letters 9 Journal of Mathematical Analysis and Applications 8 Zeitschrift für Wahrscheinlichkeitstheorie und Verwandte Gebiete 6 The Canadian Journal of Statistics 6 Journal of Statistical Planning and Inference 6 Journal of Theoretical Probability 6 Stochastic Processes and their Applications 5 Journal of Multivariate Analysis 3 Metrika 3 Stochastic Analysis and Applications 3 Extremes 2 Acta Mathematica Academiae Scientiarum Hungaricae 2 Advances in Applied Probability 2 Lithuanian Mathematical Journal 2 Communications in Statistics. Theory and Methods 2 Bernoulli 1 Analysis Mathematica 1 Bulletin of the Australian Mathematical Society 1 Mathematical Proceedings of the Cambridge Philosophical Society 1 Rocky Mountain Journal of Mathematics 1 Ukrainian Mathematical Journal 1 The Annals of Probability 1 Journal of Approximation Theory 1 Acta Mathematica Hungarica 1 Acta Mathematicae Applicatae Sinica. English Series 1 Probability Theory and Related Fields 1 Annales de l’Institut Henri Poincaré. Nouvelle Série. Section B. Calcul des Probabilités et Statistique 1 Computational Statistics and Data Analysis 1 Test 1 Statistical Papers 1 Electronic Communications in Probability 1 Abstract and Applied Analysis 1 Journal of Inequalities and Applications 1 Journal of Applied Statistics 1 Statistical Inference for Stochastic Processes 1 Acta Mathematica Sinica. English Series 1 Probability in the Engineering and Informational Sciences 1 Comptes Rendus. Mathématique. Académie des Sciences, Paris 1 Stochastics 1 The Scientific World Journal. Probability and Statistics
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### Cited in 11 Fields

 92 Probability theory and stochastic processes (60-XX) 32 Statistics (62-XX) 7 Operations research, mathematical programming (90-XX) 3 Real functions (26-XX) 2 Calculus of variations and optimal control; optimization (49-XX) 2 Numerical analysis (65-XX) 2 Game theory, economics, finance, and other social and behavioral sciences (91-XX) 1 Approximations and expansions (41-XX) 1 Geophysics (86-XX) 1 Biology and other natural sciences (92-XX) 1 Systems theory; control (93-XX)