## Dickson, David C. M.

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 Author ID: dickson.david-c-m Published as: Dickson, David C. M.; Dickson, D. C. M.; Dikson, David C. M.; Dickson, David External Links: MGP
 Documents Indexed: 55 Publications since 1984, including 8 Books Co-Authors: 19 Co-Authors with 41 Joint Publications 337 Co-Co-Authors
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### Co-Authors

 12 single-authored 11 Waters, Howard R. 7 Li, Shuanming 5 Drekic, Steve 5 Hardy, Mary Rosalyn 5 Willmot, Gordon E. 3 Cai, Jun 3 Egídio dos Reis, Alfredo D. 3 Hipp, Christian 3 Stanford, David A. 2 Li, Jingchao 2 Sundt, Bjørn Rosted 1 Beveridge, C. J. 1 Borovkov, Konstantin A. 1 Cheung, Eric C. K. 1 Hughes, Barry D. 1 Lianzeng, Zhang 1 Martin, Vance L. 1 Nie, Ciyu 1 Qazvini, Marjan
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### Serials

 21 Insurance Mathematics & Economics 8 International Series on Actuarial Science 7 Scandinavian Actuarial Journal 5 Scandinavian Actuarial Journal 5 ASTIN Bulletin 4 North American Actuarial Journal 2 Mitteilungen. Schweizerische Aktuarvereinigung (SAV) 1 Stochastic Models 1 European Actuarial Journal
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### Fields

 43 Game theory, economics, finance, and other social and behavioral sciences (91-XX) 24 Statistics (62-XX) 17 Probability theory and stochastic processes (60-XX) 4 General and overarching topics; collections (00-XX) 4 Mathematics education (97-XX) 2 Integral transforms, operational calculus (44-XX) 2 Numerical analysis (65-XX) 1 Integral equations (45-XX)

### Citations contained in zbMATH Open

48 Publications have been cited 1,039 times in 668 Documents Cited by Year
On the time to ruin for Erlang(2) risk processes. Zbl 1074.91549
Dickson, David C. M.; Hipp, Christian
2001
Some optimal dividends problems. Zbl 1097.91040
Dickson, David C. M.; Waters, Howard R.
2004
Insurance risk and ruin. Zbl 1060.91078
Dickson, David C. M.
2005
On the distribution of the surplus prior to ruin. Zbl 0770.62090
Dickson, David C. M.
1992
On the expected discounted penalty function at ruin of a surplus process with interest. Zbl 1074.91027
Cai, Jun; Dickson, David C. M.
2002
Ruin probabilities for Erlang (2) risk processes. Zbl 0907.90097
Dickson, David C. M.; Hipp, Christian
1998
The density of the time to ruin in the classical Poisson risk model. Zbl 1097.62113
Dickson, David C. M.; Willmot, Gordon E.
2005
On the distribution of the deficit at ruin when claims are phase-type. Zbl 1142.62088
Drekic, Steve; Dickson, David C. M.; Stanford, David A.; Willmot, Gordon E.
2004
The Gerber-Shiu discounted penalty function in the stationary renewal risk model. Zbl 1072.91027
Willmot, Gordon E.; Dickson, David C. M.
2003
On a class of renewal risk processes. With discussion and a reply by the author. Zbl 1081.60549
Dickson, David C. M.
1998
On the ruin time distribution for a Sparre Andersen process with exponential claim sizes. Zbl 1141.91486
Borovkov, Konstantin A.; Dickson, David C. M.
2008
On the distribution of the duration of negative surplus. Zbl 0864.62069
Dickson, David C. M.; Egídio dos Reis, Alfredo D.
1996
Actuarial mathematics for life contingent risks. Zbl 1180.91001
Dickson, David C. M.; Hardy, Mary R.; Waters, Howard R.
2009
Approximations to ruin probability in the presence of an upper absorbing barrier. Zbl 0584.62174
Dickson, D. C. M.; Gray, J. R.
1984
The joint distribution of the surplus prior to ruin and the deficit at ruin in some Sparre Andersen models. Zbl 1043.60036
Dickson, David C. M.; Drekic, Steve
2004
Upper bounds for ultimate ruin probabilities in the Sparre Andersen model with interest. Zbl 1074.91028
Cai, Jun; Dickson, David C. M.
2003
Actuarial mathematics for life contingent risks. 2nd ed. Zbl 1271.91001
Dickson, David C. M.; Hardy, Mary R.; Waters, Howard R.
2013
Reinsurance and ruin. Zbl 0894.62110
Dickson, David C. M.; Waters, Howard R.
1996
The density of the time to ruin for a Sparre Andersen process with Erlang arrivals and exponential claims. Zbl 1144.91025
Dickson, David C. M.; Hughes, Barry D.; Lianzeng, Zhang
2005
The effect of interest on negative surplus. Zbl 0894.90045
Dickson, David C. M.; Egídio dos Reis, Alfredo D.
1997
The maximum surplus before ruin in an Erlang$$(n)$$ risk process and related problems. Zbl 1168.60363
Li, Shuanming; Dickson, David C. M.
2006
The joint distribution of the time to ruin and the number of claims until ruin in the classical risk model. Zbl 1237.91125
Dickson, David C. M.
2012
On the distribution of the claim causing ruin. Zbl 0783.62083
Dickson, David C. M.
1993
Ruin probabilities with a Markov chain interest model. Zbl 1122.91340
Cai, Jun; Dickson, David C. M.
2004
Finite time ruin problems for the Erlang$$(2)$$ risk model. Zbl 1231.91176
Dickson, David C. M.; Li, Shuanming
2010
Some explicit solutions for the joint density of the time of ruin and the deficit at ruin. Zbl 1169.91386
Dickson, David C. M.
2008
Recursive calculation of the probability and severity of ruin. Zbl 0682.62083
Dickson, David C. M.
1989
Ruin problems for phase-type(2) risk processes. Zbl 0971.91036
Dickson, David C. M.; Hipp, Christian
2000
Some ruin problems for the MAP risk model. Zbl 1348.91163
Li, Jingchao; Dickson, David C. M.; Li, Shuanming
2015
Ruin probabilities with compounding assets. Zbl 1028.91555
Dickson, David C. M.; Waters, Howard R.
1999
Ruin problems and dual events. Zbl 0803.62091
Dickson, David C. M.; dos Reis, Alfredo Egídio
1994
The distributions of the time to reach a given level and the duration of negative surplus in the Erlang(2) risk model. Zbl 1284.91227
Dickson, David C. M.; Li, Shuanming
2013
The deficit at ruin in the stationary renewal risk model. Zbl 1092.62115
Willmont, Cordon E.; Dikson, David C. M.; Drekic, Steve; Stanford, David A.
2004
Exact solutions for ruin probability in the presence of an absorbing upper barrier. Zbl 0557.62086
Dickson, D. C. M.; Gray, J. R.
1984
The finite time ruin probability in a risk model with capital injections. Zbl 1398.91350
Nie, Ciyu; Dickson, David C. M.; Li, Shuanming
2015
Erlang risk models and finite time ruin problems. Zbl 1277.91081
Dickson, David C. M.; Li, Shuanming
2012
The distribution of the time to ruin in the classical risk model. Zbl 1098.62136
Dickson, David C. M.; Waters, Howard R.
2002
An upper bound for the probability of ultimate ruin. Zbl 0809.62099
Dickson, David C. M.
1994
Analysis of some ruin-related quantities in a Markov-modulated risk model. Zbl 1344.60075
Li, Jingchao; Dickson, David C. M.; Li, Shuanming
2016
Optimal dynamic reinsurance. Zbl 1162.91408
Dickson, David C. M.; Waters, Howard R.
2006
Insurance risk and ruin. 2nd edition. Zbl 1351.91001
Dickson, David C. M.
2017
A note on some joint distribution functions involving the time of ruin. Zbl 1348.91141
Dickson, David C. M.
2016
Dickson, David C. M.
1991
Gerber-Shiu analysis of a risk model with capital injections. Zbl 1394.91209
Dickson, David C. M.; Qazvini, Marjan
2016
Actuarial mathematics for life contingent risks. 3rd edition. Zbl 1430.91003
Dickson, David C. M.; Hardy, Mary R.; Waters, Howard R.
2020
Optimal dividends under reinsurance. Zbl 1333.91018
Beveridge, C. J.; Dickson, D. C. M.; Wu, X.
2008
Comparison of methods for evaluation of the $$n$$-fold convolution of an arithmetic distribution. Zbl 1187.62033
Sundt, Bjørn; Dickson, David C. M.
2000
Insurance risk and ruin. Reprint of the 2005 hardback ed. Zbl 1202.91002
Dickson, David C. M.
2010
Actuarial mathematics for life contingent risks. 3rd edition. Zbl 1430.91003
Dickson, David C. M.; Hardy, Mary R.; Waters, Howard R.
2020
Insurance risk and ruin. 2nd edition. Zbl 1351.91001
Dickson, David C. M.
2017
Analysis of some ruin-related quantities in a Markov-modulated risk model. Zbl 1344.60075
Li, Jingchao; Dickson, David C. M.; Li, Shuanming
2016
A note on some joint distribution functions involving the time of ruin. Zbl 1348.91141
Dickson, David C. M.
2016
Gerber-Shiu analysis of a risk model with capital injections. Zbl 1394.91209
Dickson, David C. M.; Qazvini, Marjan
2016
Some ruin problems for the MAP risk model. Zbl 1348.91163
Li, Jingchao; Dickson, David C. M.; Li, Shuanming
2015
The finite time ruin probability in a risk model with capital injections. Zbl 1398.91350
Nie, Ciyu; Dickson, David C. M.; Li, Shuanming
2015
Actuarial mathematics for life contingent risks. 2nd ed. Zbl 1271.91001
Dickson, David C. M.; Hardy, Mary R.; Waters, Howard R.
2013
The distributions of the time to reach a given level and the duration of negative surplus in the Erlang(2) risk model. Zbl 1284.91227
Dickson, David C. M.; Li, Shuanming
2013
The joint distribution of the time to ruin and the number of claims until ruin in the classical risk model. Zbl 1237.91125
Dickson, David C. M.
2012
Erlang risk models and finite time ruin problems. Zbl 1277.91081
Dickson, David C. M.; Li, Shuanming
2012
Finite time ruin problems for the Erlang$$(2)$$ risk model. Zbl 1231.91176
Dickson, David C. M.; Li, Shuanming
2010
Insurance risk and ruin. Reprint of the 2005 hardback ed. Zbl 1202.91002
Dickson, David C. M.
2010
Actuarial mathematics for life contingent risks. Zbl 1180.91001
Dickson, David C. M.; Hardy, Mary R.; Waters, Howard R.
2009
On the ruin time distribution for a Sparre Andersen process with exponential claim sizes. Zbl 1141.91486
Borovkov, Konstantin A.; Dickson, David C. M.
2008
Some explicit solutions for the joint density of the time of ruin and the deficit at ruin. Zbl 1169.91386
Dickson, David C. M.
2008
Optimal dividends under reinsurance. Zbl 1333.91018
Beveridge, C. J.; Dickson, D. C. M.; Wu, X.
2008
The maximum surplus before ruin in an Erlang$$(n)$$ risk process and related problems. Zbl 1168.60363
Li, Shuanming; Dickson, David C. M.
2006
Optimal dynamic reinsurance. Zbl 1162.91408
Dickson, David C. M.; Waters, Howard R.
2006
Insurance risk and ruin. Zbl 1060.91078
Dickson, David C. M.
2005
The density of the time to ruin in the classical Poisson risk model. Zbl 1097.62113
Dickson, David C. M.; Willmot, Gordon E.
2005
The density of the time to ruin for a Sparre Andersen process with Erlang arrivals and exponential claims. Zbl 1144.91025
Dickson, David C. M.; Hughes, Barry D.; Lianzeng, Zhang
2005
Some optimal dividends problems. Zbl 1097.91040
Dickson, David C. M.; Waters, Howard R.
2004
On the distribution of the deficit at ruin when claims are phase-type. Zbl 1142.62088
Drekic, Steve; Dickson, David C. M.; Stanford, David A.; Willmot, Gordon E.
2004
The joint distribution of the surplus prior to ruin and the deficit at ruin in some Sparre Andersen models. Zbl 1043.60036
Dickson, David C. M.; Drekic, Steve
2004
Ruin probabilities with a Markov chain interest model. Zbl 1122.91340
Cai, Jun; Dickson, David C. M.
2004
The deficit at ruin in the stationary renewal risk model. Zbl 1092.62115
Willmont, Cordon E.; Dikson, David C. M.; Drekic, Steve; Stanford, David A.
2004
The Gerber-Shiu discounted penalty function in the stationary renewal risk model. Zbl 1072.91027
Willmot, Gordon E.; Dickson, David C. M.
2003
Upper bounds for ultimate ruin probabilities in the Sparre Andersen model with interest. Zbl 1074.91028
Cai, Jun; Dickson, David C. M.
2003
On the expected discounted penalty function at ruin of a surplus process with interest. Zbl 1074.91027
Cai, Jun; Dickson, David C. M.
2002
The distribution of the time to ruin in the classical risk model. Zbl 1098.62136
Dickson, David C. M.; Waters, Howard R.
2002
On the time to ruin for Erlang(2) risk processes. Zbl 1074.91549
Dickson, David C. M.; Hipp, Christian
2001
Ruin problems for phase-type(2) risk processes. Zbl 0971.91036
Dickson, David C. M.; Hipp, Christian
2000
Comparison of methods for evaluation of the $$n$$-fold convolution of an arithmetic distribution. Zbl 1187.62033
Sundt, Bjørn; Dickson, David C. M.
2000
Ruin probabilities with compounding assets. Zbl 1028.91555
Dickson, David C. M.; Waters, Howard R.
1999
Ruin probabilities for Erlang (2) risk processes. Zbl 0907.90097
Dickson, David C. M.; Hipp, Christian
1998
On a class of renewal risk processes. With discussion and a reply by the author. Zbl 1081.60549
Dickson, David C. M.
1998
The effect of interest on negative surplus. Zbl 0894.90045
Dickson, David C. M.; Egídio dos Reis, Alfredo D.
1997
On the distribution of the duration of negative surplus. Zbl 0864.62069
Dickson, David C. M.; Egídio dos Reis, Alfredo D.
1996
Reinsurance and ruin. Zbl 0894.62110
Dickson, David C. M.; Waters, Howard R.
1996
Ruin problems and dual events. Zbl 0803.62091
Dickson, David C. M.; dos Reis, Alfredo Egídio
1994
An upper bound for the probability of ultimate ruin. Zbl 0809.62099
Dickson, David C. M.
1994
On the distribution of the claim causing ruin. Zbl 0783.62083
Dickson, David C. M.
1993
On the distribution of the surplus prior to ruin. Zbl 0770.62090
Dickson, David C. M.
1992
Dickson, David C. M.
1991
Recursive calculation of the probability and severity of ruin. Zbl 0682.62083
Dickson, David C. M.
1989
Approximations to ruin probability in the presence of an upper absorbing barrier. Zbl 0584.62174
Dickson, D. C. M.; Gray, J. R.
1984
Exact solutions for ruin probability in the presence of an absorbing upper barrier. Zbl 0557.62086
Dickson, D. C. M.; Gray, J. R.
1984
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### Cited by 644 Authors

 35 Li, Shuanming 33 Dickson, David C. M. 32 Willmot, Gordon E. 27 Cheung, Eric C. K. 26 Zhang, Zhimin 24 Yang, Hailiang 22 Landriault, David 20 Wu, Rong 18 Yang, Hu 16 Drekic, Steve 14 Egídio dos Reis, Alfredo D. 14 Lu, Yi 12 Gerber, Hans U. 12 Shiu, Elias S. W. 11 Albrecher, Hansjörg 11 Cai, Jun 11 Guo, Junyi 11 Politis, Konstadinos 11 Woo, Jae-Kyung 10 Hu, Yijun 10 Sendova, Kristina P. 10 Yin, Chuancun 10 Zhang, Chunsheng 9 Badescu, Andrei L. 9 Marceau, Étienne 9 Stanford, David A. 8 Cossette, Hélène 8 Feng, Runhuan 8 Frostig, Esther 8 Psarrakos, Georgios 8 Yang, Xiangqun 7 Jiang, Wuyuan 7 Lefèvre, Claude 7 Schmidli, Hanspeter 7 Šiaulys, Jonas 7 Wang, Guojing 7 Xie, Jiehua 7 Yuen, Kam Chuen 7 Zou, Wei 6 Chadjiconstantinidis, Stathis 6 Loisel, Stéphane 6 Palmowski, Zbigniew 6 Ren, Jiandong 6 Shi, Tianxiang 6 Tan, Jiyang 6 Wang, Rongming 6 Wu, Xueyuan 6 Zhou, Xiaowen 5 Avram, Florin 5 Cardoso, Rui M. R. 5 Dhaene, Jan 5 Dong, Hua 5 Liang, Zhibin 5 Lin, X. Sheldon 5 Trufin, Julien 5 Wang, Wenyuan 5 Waters, Howard R. 5 Zhou, Ming 4 Claramunt, M. Mercè 4 Deng, Yingchun 4 Gao, Jianwei 4 Goffard, Pierre-Olivier 4 He, Jingmin 4 Jin, Zhuo 4 Ko, Bangwon 4 Lee, Wing Yan 4 Li, Jingchao 4 Liu, Zaiming 4 Papaioannou, Apostolos D. 4 Pitts, Susan M. 4 Song, Min 4 Tang, Qihe 4 Tsai, Cary Chi-Liang 4 Wang, Dehui 4 Xu, Ran 4 Yang, Zhaojun 3 Antonio, Katrien 3 Bao, Zhenhua 3 Boxma, Onno Johan 3 Breuer, Lothar 3 Bulinskaya, Ekaterina Vadimova 3 Castañer, Anna 3 Cheng, Jianhua 3 Constantinescu, Corina D. 3 Czarna, Irmina 3 Denuit, Michel M. 3 Eisenberg, Julia 3 Fang, Ying 3 Hao, Yuan-Yuan 3 Hardy, Mary Rosalyn 3 Hipp, Christian 3 Huang, Yujuan 3 Ivanovs, Jevgeņijs 3 Jin, Can 3 Kaishev, Vladimir K. 3 Kim, Soyeun 3 Kolkovska, Ekaterina Todorova 3 Kyprianou, Andreas E. 3 Latouche, Guy 3 Lee, Eui Yong ...and 544 more Authors
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### Cited in 96 Serials

 178 Insurance Mathematics & Economics 70 Scandinavian Actuarial Journal 41 North American Actuarial Journal 29 Journal of Computational and Applied Mathematics 26 Statistics & Probability Letters 26 ASTIN Bulletin 22 Methodology and Computing in Applied Probability 19 Applied Mathematics and Computation 17 Communications in Statistics. Theory and Methods 14 Journal of Applied Probability 14 Acta Mathematicae Applicatae Sinica. English Series 13 Stochastic Models 13 European Actuarial Journal 9 Advances in Applied Probability 7 Stochastic Processes and their Applications 7 Frontiers of Mathematics in China 6 Applied Mathematics. Series B (English Edition) 6 Mathematical Problems in Engineering 6 Applied Stochastic Models in Business and Industry 6 Journal of the Korean Statistical Society 5 Acta Mathematica Sinica. English Series 4 Lithuanian Mathematical Journal 4 Blätter (Deutsche Gesellschaft für Versicherungsmathematik) 4 Stochastic Analysis and Applications 4 European Journal of Operational Research 4 Computational Statistics and Data Analysis 4 Probability in the Engineering and Informational Sciences 4 Journal of Systems Science and Complexity 4 Journal of Industrial and Management Optimization 3 Journal of Mathematical Analysis and Applications 3 Moscow University Mathematics Bulletin 3 Probability and Mathematical Statistics 3 Queueing Systems 3 The Annals of Applied Probability 3 Cybernetics and Systems Analysis 3 Theory of Probability and Mathematical Statistics 3 Mathematical Methods of Operations Research 3 Wuhan University Journal of Natural Sciences (WUJNS) 3 Journal of Applied Mathematics and Computing 2 Automatica 2 Scandinavian Actuarial Journal 2 Applied Mathematical Modelling 2 Journal of Statistical Computation and Simulation 2 Abstract and Applied Analysis 2 Journal of Inequalities and Applications 2 Journal of Shanghai University 2 Lobachevskii Journal of Mathematics 2 The ANZIAM Journal 2 Journal of Applied Mathematics 2 Stochastics 2 Modern Stochastics. Theory and Applications 1 Applicable Analysis 1 Computers & Mathematics with Applications 1 Indian Journal of Pure & Applied Mathematics 1 Journal of Mathematical Biology 1 Chaos, Solitons and Fractals 1 Theory of Probability and its Applications 1 Annals of the Institute of Statistical Mathematics 1 Applied Mathematics and Optimization 1 Journal of Multivariate Analysis 1 Mathematics of Operations Research 1 Applied Mathematics and Mechanics. (English Edition) 1 Bulletin of the Iranian Mathematical Society 1 Journal of Theoretical Probability 1 Annals of Operations Research 1 Computational Statistics 1 Communications in Statistics. Simulation and Computation 1 Indagationes Mathematicae. New Series 1 Applicationes Mathematicae 1 Top 1 Bernoulli 1 Finance and Stochastics 1 Doklady Mathematics 1 European Series in Applied and Industrial Mathematics (ESAIM): Probability and Statistics 1 Soft Computing 1 Australian & New Zealand Journal of Statistics 1 Far East Journal of Applied Mathematics 1 Informatica (Vilnius) 1 Discrete Dynamics in Nature and Society 1 International Journal of Theoretical and Applied Finance 1 Computational Management Science 1 Advances in Difference Equations 1 Journal of Statistical Mechanics: Theory and Experiment 1 Journal of Statistical Theory and Practice 1 AStA. Advances in Statistical Analysis 1 Blätter der DGVFM (Deutsche Gesellschaft für Versicherungs- und Finanzmathematik) 1 Risk and Decision Analysis 1 Science China. Mathematics 1 Symmetry 1 Sankhyā. Series B 1 Statistics & Risk Modeling 1 Arabian Journal of Mathematics 1 Stochastic Systems 1 Dependence Modeling 1 Journal of the Japan Statistical Society. Japanese Issue 1 Cogent Mathematics
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### Cited in 23 Fields

 587 Game theory, economics, finance, and other social and behavioral sciences (91-XX) 366 Probability theory and stochastic processes (60-XX) 202 Statistics (62-XX) 32 Systems theory; control (93-XX) 26 Integral equations (45-XX) 22 Numerical analysis (65-XX) 20 Operations research, mathematical programming (90-XX) 13 Integral transforms, operational calculus (44-XX) 12 Calculus of variations and optimal control; optimization (49-XX) 6 Partial differential equations (35-XX) 3 Field theory and polynomials (12-XX) 2 Special functions (33-XX) 2 Biology and other natural sciences (92-XX) 2 Information and communication theory, circuits (94-XX) 1 Real functions (26-XX) 1 Measure and integration (28-XX) 1 Ordinary differential equations (34-XX) 1 Harmonic analysis on Euclidean spaces (42-XX) 1 General topology (54-XX) 1 Global analysis, analysis on manifolds (58-XX) 1 Computer science (68-XX) 1 Optics, electromagnetic theory (78-XX) 1 Statistical mechanics, structure of matter (82-XX)