## Griffin, Philip S.

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 Author ID: griffin.philip-s Published as: Griffin, Philip S.; Griffin, P. S.; Griffin, Philip; Griffin, P. more...less
 Documents Indexed: 49 Publications since 1982 Co-Authors: 18 Co-Authors with 32 Joint Publications 380 Co-Co-Authors
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### Co-Authors

 17 single-authored 10 Maller, Ross Arthur 5 Pruitt, William E. 4 McConnell, Terry R. 3 Doney, Ronald Arthur 3 Kuelbs, James D. 2 Cox, J. Theodore 2 Roberts, Dale O. 2 Verchota, Gregory C. 1 Aldous, David John 1 Bass, Richard F. 1 Fristedt, Bert E. 1 Gandolfi, Alberto 1 Jain, Naresh C. 1 Kesten, Harry 1 Mason, David M. 1 Qazi, Fozia S. 1 Van Schaik, Kees 1 Vogel, Andrew L.
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### Serials

 12 The Annals of Probability 5 The Annals of Applied Probability 4 Advances in Applied Probability 4 Probability Theory and Related Fields 4 Stochastic Processes and their Applications 2 Mathematical Proceedings of the Cambridge Philosophical Society 2 Proceedings of the London Mathematical Society. Third Series 2 Zeitschrift für Wahrscheinlichkeitstheorie und Verwandte Gebiete 2 Insurance Mathematics & Economics 2 Journal of Theoretical Probability 2 Annales de l’Institut Henri Poincaré. Probabilités et Statistiques 1 Journal of Applied Probability 1 Transactions of the American Mathematical Society 1 Electronic Journal of Probability 1 Electronic Communications in Probability 1 Finance and Stochastics

### Fields

 47 Probability theory and stochastic processes (60-XX) 11 Statistics (62-XX) 9 Game theory, economics, finance, and other social and behavioral sciences (91-XX) 1 Potential theory (31-XX)

### Citations contained in zbMATH Open

40 Publications have been cited 344 times in 235 Documents Cited by Year
Self-normalized laws of the iterated logarithm. Zbl 0687.60033
Griffin, Philip S.; Kuelbs, James D.
1989
Greedy lattice animals. I: Upper bounds. Zbl 0818.60039
Cox, J. Theodore; Gandolfi, Alberto; Griffin, Philip S.; Kesten, Harry
1993
The most visited site of Brownian motion and simple random walk. Zbl 0554.60076
Bass, Richard F.; Griffin, Philip S.
1985
On the asymptotic normality of self-normalized sums. Zbl 0723.62008
Griffin, Philip S.; Mason, David M.
1991
Asymptotic normality and subsequential limits of trimmed sums. Zbl 0688.60016
Griffin, Philip S.; Pruitt, William E.
1989
Some extensions of the LIL via self-normalizations. Zbl 0722.60028
Griffin, Philip; Kuelbs, James
1991
The central limit problem for trimmed sums. Zbl 0631.60026
Griffin, Philip S.; Pruitt, William E.
1987
Approximate local limit theorems for laws outside domains of attraction. Zbl 0539.60022
Griffin, Philip S.; Jain, Naresh C.; Pruitt, William E.
1984
On the position of a random walk at the time of first exit from a sphere. Zbl 0756.60060
Griffin, Philip S.; McConnell, Terry R.
1992
Path decomposition of ruinous behavior for a general Lévy insurance risk process. Zbl 1259.60051
Griffin, Philip S.; Maller, Ross A.
2012
On the rate of growth of the overshoot and the maximum partial sum. Zbl 0905.60064
Griffin, P. S.; Maller, R. A.
1998
Convolution equivalent Lévy processes and first passage times. Zbl 1347.60054
Griffin, Philip S.
2013
Matrix normalized sums of independent identically distributed random vectors. Zbl 0602.60031
Griffin, Philip S.
1986
Conditioned Brownian motion in simply connected planar domains. Zbl 0777.60073
Griffin, Philip S.; McConnell, Terry R.; Verchota, Gregory
1993
The time at which a Lévy process creeps. Zbl 1244.60051
Griffin, Philip S.; Maller, Ross A.
2011
Asymptotic distributions of the overshoot and undershoots for the Lévy insurance risk process in the Cramér and convolution equivalent cases. Zbl 1284.62119
Griffin, Philip S.; Maller, Ross A.; van Schaik, Kees
2012
$$L^ p$$-boundedness of the overshoot in multidimensional renewal theory. Zbl 0852.60084
Griffin, Philip S.; McConnell, Terry R.
1995
The number of extreme points in the convex hull of a random sample. Zbl 0742.60012
Aldous, David J.; Fristedt, Bert; Griffin, Philip S.; Pruitt, William E.
1991
Probability estimates for the small deviations of d-dimensional random walk. Zbl 0519.60044
Griffin, Philip S.
1983
Tightness of the Student $$t$$-statistic. Zbl 1008.62046
Griffin, Philip S.
2002
Gambler’s ruin and the first exit position of random walk from large spheres. Zbl 0820.60055
Griffin, Philip S.; McConnell, Terry R.
1994
Sample path behavior of a Lévy insurance risk process approaching ruin, under the Cramér-Lundberg and convolution equivalent conditions. Zbl 1334.60076
Griffin, Philip S.
2016
Laws of the iterated logarithm for symmetric stable processes. Zbl 0535.60024
Griffin, Philip S.
1985
Finite time ruin probabilities for tempered stable insurance risk processes. Zbl 1304.91106
Griffin, Philip S.; Maller, Ross A.; Roberts, Dale
2013
Small and large time stability of the time taken for a Lévy process to cross curved boundaries. Zbl 1267.60053
Griffin, Philip S.; Maller, Ross A.
2013
How porous is the graph of Brownian motion? Zbl 0723.60101
Cox, J. T.; Griffin, Philip S.
1991
Weak convergence of trimmed sums. Zbl 0731.60017
Griffin, Philip S.; Pruitt, William E.
1991
Asymptotic normality of Winsorized means. Zbl 0649.62017
Griffin, Philip S.
1988
The influence of extremes on the law of the iterated logarithm. Zbl 0621.60033
Griffin, Philip S.
1988
On compactness properties of the exit position of a random walk from an interval. Zbl 1027.60041
Griffin, P. S.; Maller, R. A.
1999
Overshoots over curved boundaries. Zbl 1037.60043
Doney, R. A.; Griffin, P. S.
2003
Overshoots over curved boundaries. II. Zbl 1064.60091
Doney, R. A.; Griffin, P. S.
2004
Stability of the exit time for Lévy processes. Zbl 1232.60037
Griffin, Philip S.; Maller, Ross A.
2011
Distortion of area and conditioned Brownian motion. Zbl 0794.60081
Griffin, P. S.; Verchota, G. C.; Vogel, A. L.
1993
Non-classical law of the iterated logarithm behaviour for trimmed sums. Zbl 0643.60026
Griffin, Philip S.
1988
Dominance of the sum over the maximum and some new classes of stochastic compactness. Zbl 0947.60024
Griffin, P. S.; Maller, R. A.
1999
Limit laws of modulus trimmed sums. Zbl 1015.60017
Griffin, Philip S.; Qazi, Fozia S.
2002
Cramér’s estimate for the reflected process revisited. Zbl 1404.60064
Doney, R. A.; Griffin, Philip S.
2018
General tax structures for a Lévy insurance risk process under the Cramér condition. Zbl 1435.91150
Griffin, Philip S.
2020
Some remarks on a question of Strassen. Zbl 0838.60004
Griffin, P.; Kuelbs, J.
1996
General tax structures for a Lévy insurance risk process under the Cramér condition. Zbl 1435.91150
Griffin, Philip S.
2020
Cramér’s estimate for the reflected process revisited. Zbl 1404.60064
Doney, R. A.; Griffin, Philip S.
2018
Sample path behavior of a Lévy insurance risk process approaching ruin, under the Cramér-Lundberg and convolution equivalent conditions. Zbl 1334.60076
Griffin, Philip S.
2016
Convolution equivalent Lévy processes and first passage times. Zbl 1347.60054
Griffin, Philip S.
2013
Finite time ruin probabilities for tempered stable insurance risk processes. Zbl 1304.91106
Griffin, Philip S.; Maller, Ross A.; Roberts, Dale
2013
Small and large time stability of the time taken for a Lévy process to cross curved boundaries. Zbl 1267.60053
Griffin, Philip S.; Maller, Ross A.
2013
Path decomposition of ruinous behavior for a general Lévy insurance risk process. Zbl 1259.60051
Griffin, Philip S.; Maller, Ross A.
2012
Asymptotic distributions of the overshoot and undershoots for the Lévy insurance risk process in the Cramér and convolution equivalent cases. Zbl 1284.62119
Griffin, Philip S.; Maller, Ross A.; van Schaik, Kees
2012
The time at which a Lévy process creeps. Zbl 1244.60051
Griffin, Philip S.; Maller, Ross A.
2011
Stability of the exit time for Lévy processes. Zbl 1232.60037
Griffin, Philip S.; Maller, Ross A.
2011
Overshoots over curved boundaries. II. Zbl 1064.60091
Doney, R. A.; Griffin, P. S.
2004
Overshoots over curved boundaries. Zbl 1037.60043
Doney, R. A.; Griffin, P. S.
2003
Tightness of the Student $$t$$-statistic. Zbl 1008.62046
Griffin, Philip S.
2002
Limit laws of modulus trimmed sums. Zbl 1015.60017
Griffin, Philip S.; Qazi, Fozia S.
2002
On compactness properties of the exit position of a random walk from an interval. Zbl 1027.60041
Griffin, P. S.; Maller, R. A.
1999
Dominance of the sum over the maximum and some new classes of stochastic compactness. Zbl 0947.60024
Griffin, P. S.; Maller, R. A.
1999
On the rate of growth of the overshoot and the maximum partial sum. Zbl 0905.60064
Griffin, P. S.; Maller, R. A.
1998
Some remarks on a question of Strassen. Zbl 0838.60004
Griffin, P.; Kuelbs, J.
1996
$$L^ p$$-boundedness of the overshoot in multidimensional renewal theory. Zbl 0852.60084
Griffin, Philip S.; McConnell, Terry R.
1995
Gambler’s ruin and the first exit position of random walk from large spheres. Zbl 0820.60055
Griffin, Philip S.; McConnell, Terry R.
1994
Greedy lattice animals. I: Upper bounds. Zbl 0818.60039
Cox, J. Theodore; Gandolfi, Alberto; Griffin, Philip S.; Kesten, Harry
1993
Conditioned Brownian motion in simply connected planar domains. Zbl 0777.60073
Griffin, Philip S.; McConnell, Terry R.; Verchota, Gregory
1993
Distortion of area and conditioned Brownian motion. Zbl 0794.60081
Griffin, P. S.; Verchota, G. C.; Vogel, A. L.
1993
On the position of a random walk at the time of first exit from a sphere. Zbl 0756.60060
Griffin, Philip S.; McConnell, Terry R.
1992
On the asymptotic normality of self-normalized sums. Zbl 0723.62008
Griffin, Philip S.; Mason, David M.
1991
Some extensions of the LIL via self-normalizations. Zbl 0722.60028
Griffin, Philip; Kuelbs, James
1991
The number of extreme points in the convex hull of a random sample. Zbl 0742.60012
Aldous, David J.; Fristedt, Bert; Griffin, Philip S.; Pruitt, William E.
1991
How porous is the graph of Brownian motion? Zbl 0723.60101
Cox, J. T.; Griffin, Philip S.
1991
Weak convergence of trimmed sums. Zbl 0731.60017
Griffin, Philip S.; Pruitt, William E.
1991
Self-normalized laws of the iterated logarithm. Zbl 0687.60033
Griffin, Philip S.; Kuelbs, James D.
1989
Asymptotic normality and subsequential limits of trimmed sums. Zbl 0688.60016
Griffin, Philip S.; Pruitt, William E.
1989
Asymptotic normality of Winsorized means. Zbl 0649.62017
Griffin, Philip S.
1988
The influence of extremes on the law of the iterated logarithm. Zbl 0621.60033
Griffin, Philip S.
1988
Non-classical law of the iterated logarithm behaviour for trimmed sums. Zbl 0643.60026
Griffin, Philip S.
1988
The central limit problem for trimmed sums. Zbl 0631.60026
Griffin, Philip S.; Pruitt, William E.
1987
Matrix normalized sums of independent identically distributed random vectors. Zbl 0602.60031
Griffin, Philip S.
1986
The most visited site of Brownian motion and simple random walk. Zbl 0554.60076
Bass, Richard F.; Griffin, Philip S.
1985
Laws of the iterated logarithm for symmetric stable processes. Zbl 0535.60024
Griffin, Philip S.
1985
Approximate local limit theorems for laws outside domains of attraction. Zbl 0539.60022
Griffin, Philip S.; Jain, Naresh C.; Pruitt, William E.
1984
Probability estimates for the small deviations of d-dimensional random walk. Zbl 0519.60044
Griffin, Philip S.
1983
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### Cited by 247 Authors

 20 Griffin, Philip S. 17 Maller, Ross Arthur 12 Csörgő, Miklós 10 Shao, Qi-Man 9 Doney, Ronald Arthur 8 Mason, David M. 7 Földes, Antónia 7 Wang, Qiying 6 Csáki, Endre 5 Berkes, István 5 Dshalalow, Jewgeni H. 5 Hashorva, Enkelejd 5 Horváth, Lajos 5 Hu, Zhishui 5 Ji, Lanpeng 4 Deng, Dianliang 4 Hu, Yueyun 4 Jing, Bingyi 4 Lin, Zhengyan 4 Pang, Tianxiao 4 Révész, Pál 4 Shi, Zhan 4 Sweers, Guido H. 3 Bakhtin, Yuri Yu. 3 Borovskikh, Yuri V. 3 Damron, Michael 3 Dembo, Amir 3 Götze, Friedrich 3 Khoshnevisan, Davar 3 Pozdnyakov, Vladimir 3 Saloff-Coste, Laurent 3 Seppäläinen, Timo 3 Szyszkowicz, Barbara 3 Weber, Neville C. 3 Zhou, Wang 2 Bazarova, Alina 2 Buchmann, Boris 2 Chi, Zhiyi 2 Dall’Acqua, Anna 2 Dębicki, Krzysztof 2 Dittmar, Bodo 2 Fan, Yuguang 2 Feng, Xinwei 2 Fu, Ke’ang 2 Gribkova, Nadezhda Viktorovna 2 Hahn, Marjorie Green 2 Hall, Peter Gavin 2 Hanson, Jack 2 Huang, Wei 2 Hueter, Irene 2 Kȩpa-Maksymowicz, Dorota 2 Kesten, Harry 2 Kozitsky, Yuri Vasil’evich 2 Kuelbs, James D. 2 Lanzinger, Hartmut 2 Liang, Hanying 2 Liew, Agatha 2 Lifshits, Mikhail A. 2 Liu, Weidong 2 Martin, James Benedict 2 Mei, Hongwei 2 Miao, Yu 2 Norvaiša, Rimas 2 Račkauskas, Alfredas Yurgevich 2 Rassoul-Agha, Firas 2 Roberts, Dale O. 2 Schauer, Johannes 2 Temesvari, Daniel 2 Thäle, Christoph 2 Wee, In-Suk 2 Weiner, Daniel Charles 2 Xu, Shoufang 2 Yang, Xiaoyun 2 Zeitouni, Ofer 2 Zhang, Li-Xin 2 Zhang, Yong 2 Zheng, Tianyi 1 Agarwal, Ravi P. 1 Albrecher, Hansjörg 1 Auffinger, Antonio 1 Aurzada, Frank 1 Avram, Florin 1 Bai, Manying 1 Basak, Gopal Krishna 1 Bass, Richard F. 1 Basu, Riddhipratim 1 Beffara, Vincent 1 Bendikov, Alexander D. 1 Bentkus, Vidmants-Kastytis 1 Berger, Quentin 1 Bernstein, Megan 1 Biswas, Arunangshu 1 Bloznelis, Mindaugas 1 Bonnet, Gilles 1 Borodin, Andreĭ Nikolaevich 1 Buonaguidi, Bruno 1 Çağlar, Mine 1 Cai, Guanghui 1 Cator, Eric A. 1 Chen, Changhao ...and 147 more Authors
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### Cited in 68 Serials

 28 Stochastic Processes and their Applications 25 The Annals of Probability 24 Journal of Theoretical Probability 14 Statistics & Probability Letters 13 Probability Theory and Related Fields 10 Journal of Mathematical Analysis and Applications 5 Advances in Applied Probability 5 Lithuanian Mathematical Journal 5 Transactions of the American Mathematical Society 5 The Annals of Applied Probability 5 Bernoulli 4 Journal d’Analyse Mathématique 4 Journal of Applied Probability 4 Journal of Statistical Planning and Inference 4 Stochastic Analysis and Applications 4 Electronic Journal of Probability 4 European Series in Applied and Industrial Mathematics (ESAIM): Probability and Statistics 3 Computers & Mathematics with Applications 3 Journal of Multivariate Analysis 3 Acta Mathematica Hungarica 3 Communications in Statistics. Theory and Methods 3 Applied Mathematics. Series B (English Edition) 2 Discrete Applied Mathematics 2 Proceedings of the American Mathematical Society 2 Zeitschrift für Wahrscheinlichkeitstheorie und Verwandte Gebiete 2 Insurance Mathematics & Economics 2 Acta Mathematicae Applicatae Sinica. English Series 2 Annales de l’Institut Henri Poincaré. Probabilités et Statistiques 2 Vestnik St. Petersburg University. Mathematics 2 Journal of Inequalities and Applications 2 Science China. Mathematics 1 The Canadian Journal of Statistics 1 Communications in Mathematical Physics 1 Communications on Pure and Applied Mathematics 1 Journal of Statistical Physics 1 Letters in Mathematical Physics 1 Periodica Mathematica Hungarica 1 Theory of Probability and its Applications 1 Acta Mathematica 1 Advances in Mathematics 1 Anais da Academia Brasileira de Ciências 1 Annals of the Institute of Statistical Mathematics 1 The Annals of Statistics 1 Mathematische Nachrichten 1 Proceedings of the Edinburgh Mathematical Society. Series II 1 Proceedings of the London Mathematical Society. Third Series 1 Statistics 1 Sequential Analysis 1 Journal of the American Mathematical Society 1 Mathematical and Computer Modelling 1 Random Structures & Algorithms 1 Proceedings of the Indian Academy of Sciences. Mathematical Sciences 1 Annales de la Faculté des Sciences de Toulouse. Mathématiques. Série VI 1 Potential Analysis 1 Mathematical Problems in Engineering 1 Extremes 1 Acta Mathematica Sinica. English Series 1 Methodology and Computing in Applied Probability 1 Econometric Theory 1 Brazilian Journal of Probability and Statistics 1 Scandinavian Actuarial Journal 1 Stochastic Models 1 Stochastics and Dynamics 1 Complex Analysis and Operator Theory 1 Groups, Geometry, and Dynamics 1 Electronic Journal of Statistics 1 Discrete and Continuous Dynamical Systems. Series S 1 Communications in Mathematics and Statistics
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### Cited in 18 Fields

 224 Probability theory and stochastic processes (60-XX) 50 Statistics (62-XX) 19 Game theory, economics, finance, and other social and behavioral sciences (91-XX) 14 Statistical mechanics, structure of matter (82-XX) 5 Partial differential equations (35-XX) 5 Convex and discrete geometry (52-XX) 4 Combinatorics (05-XX) 3 Numerical analysis (65-XX) 2 Group theory and generalizations (20-XX) 2 Real functions (26-XX) 2 Measure and integration (28-XX) 2 Dynamical systems and ergodic theory (37-XX) 1 History and biography (01-XX) 1 Potential theory (31-XX) 1 Harmonic analysis on Euclidean spaces (42-XX) 1 Calculus of variations and optimal control; optimization (49-XX) 1 Differential geometry (53-XX) 1 Biology and other natural sciences (92-XX)