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## Gerber, Hans U.

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 Author ID: gerber.hans-u Published as: Gerber, Hans U.; Gerber, H. U.; Gerber, H.; Gerber, Hans
 Documents Indexed: 111 Publications since 1964, including 7 Books
all top 5

#### Co-Authors

 46 single-authored 33 Shiu, Elias S. W. 10 Yang, Hailiang 5 Dufresne, François 4 Albrecher, Hansjörg 4 Goovaerts, Marc J. 3 Jones, Donald A. 3 Smith, Nathaniel 2 Avanzi, Benjamin 2 Deprez, Olivier 2 Kaas, Rob 2 Landry, Bruno 2 Pafumi, Gérard 1 Bowers, Newton L. jun. 1 Bühlmann, Hans 1 Cheng, Shixue 1 De Pril, Nelson 1 Furrer, Christian 1 Haezendonck, Jean 1 Heijnen, Bart 1 Hickman, James C. 1 Keilson, Julian 1 Leung, Bartholomew P. K. 1 Li, Shuo-Yen Robert 1 Mammitzsch, Volker 1 Nesbitt, Cecil J. 1 Schürger, Klaus 1 Seal, Hilary L. 1 Valderrama Ospina, A.
all top 5

#### Serials

 37 Insurance Mathematics & Economics 18 North American Actuarial Journal 10 Mitteilungen. Vereinigung Schweizerischer Versicherungsmathematiker (VSV) 5 Mitteilungen. Schweizerische Aktuarvereinigung (SAV) 4 Scandinavian Actuarial Journal 3 Journal of the American Statistical Association 3 ASTIN Bulletin 2 Journal of Computational and Applied Mathematics 2 Mitteilungen. Schweizerische Vereinigung der Versicherungsmathematiker (SVVM) 2 Skandinavisk Aktuarietidskrift 2 European Actuarial Journal 1 American Mathematical Monthly 1 Mathematics of Computation 1 Cahiers du Centre d’Études de Recherche Opérationnelle 1 Mathematische Annalen 1 Operations Research 1 Acta Mathematicae Applicatae Sinica. English Series 1 Stochastic Processes and their Applications 1 Mathematical Finance 1 Scandinavian Actuarial Journal 1 Annals of Mathematical Statistics
all top 5

#### Fields

 62 Statistics (62-XX) 48 Game theory, economics, finance, and other social and behavioral sciences (91-XX) 38 Probability theory and stochastic processes (60-XX) 2 General and overarching topics; collections (00-XX) 2 History and biography (01-XX) 1 Mathematical logic and foundations (03-XX) 1 Number theory (11-XX) 1 Linear and multilinear algebra; matrix theory (15-XX) 1 Real functions (26-XX) 1 Integral equations (45-XX) 1 Numerical analysis (65-XX)

#### Citations contained in zbMATH Open

96 Publications have been cited 3,088 times in 1,876 Documents Cited by Year
On the time value of ruin. With discussion and a reply by the authors. Zbl 1081.60550
Gerber, Hans U.; Shiu, Elias S. W.
1998
An introduction to mathematical risk theory. Zbl 0431.62066
Gerber, Hans U.
1979
Actuarial mathematics. Zbl 0634.62107
Bowers, Newton L. jun.; Gerber, Hans U.; Hickman, James C.; Jones, Donald A.; Nesbitt, Cecil J.
1986
Risk theory for the compound Poisson process that is perturbed by diffusion. Zbl 0723.62065
Dufresne, François; Gerber, Hans U.
1991
Optimal dividends: analysis with Brownian motion. Zbl 1085.62122
Gerber, Hans U.; Shiu, Elias S. W.
2004
The joint distribution of the time of ruin, the surplus immediately before ruin, and the deficit at ruin. Zbl 0894.90047
Gerber, Hans U.; Shiu, Elias S. W.
1997
The time value of ruin in a Sparre Andersen model. With discussion and a reply by the authors. Zbl 1085.62508
Gerber, Hans U.; Shiu, Elias S. W.
2005
On the discounted penalty at ruin in a jump-diffusion and the perpetual put option. Zbl 0924.60075
Gerber, Hans U.; Landry, Bruno
1998
Optimal dividends in the dual model. Zbl 1131.91026
Avanzi, Benjamin; Gerber, Hans U.; Shiu, Elias S. W.
2007
On convex principles of premium calculation. Zbl 0579.62090
Deprez, Olivier; Gerber, Hans U.
1985
An extension of the renewal equation and its application in the collective theory of risk. Zbl 0229.60062
Gerber, Hans U.
1970
Games of economic survival with discrete- and continuous-income processes. Zbl 0236.90079
Gerber, Hans U.
1972
Entscheidungskriterien für den zusammengesetzten Poisson-Prozeß. Zbl 0193.20501
Gerber, H. U.
1969
The surpluses immediately before and at ruin, and the amount of the claim causing ruin. Zbl 0674.62072
Dufresne, François; Gerber, Hans U.
1988
Some results for discrete unimodality. Zbl 0236.60017
Keilson, J.; Gerber, H.
1971
Discounted probabilities and ruin theory in the compound binomial model. Zbl 1013.91063
Cheng, Shixue; Gerber, Hans U.; Shiu, Elias S. W.
2000
Actuarial bridges to dynamic hedging and option pricing. Zbl 0896.62112
Gerber, Hans U.; Shiu, Elias S. W.
1996
Optimal dividends in the dual model with diffusion. Zbl 1274.91463
Avanzi, Benjamin; Gerber, Hans U.
2008
When does the surplus reach a given target? Zbl 0731.62153
Gerber, Hans U.
1990
A note on the dividends-penalty identity and the optimal dividend barrier. Zbl 1162.91374
Gerber, Hans U.; Lin, X.; Yang, Hailiang
2006
The optimal dividend barrier in the gamma-omega model. Zbl 1219.91062
Albrecher, Hansjörg; Gerber, Hans U.; Shiu, Elias S. W.
2011
On optimal dividends: from reflection to refraction. Zbl 1089.91023
Gerber, Hans U.; Shiu, Elias S. W.
2006
On the probability of ruin in the presence of a linear dividend barrier. Zbl 0455.62086
Gerber, Hans U.
1981
Error bounds for the compound Poisson approximation. Zbl 0541.62097
Gerber, Hans U.
1984
Martingales in risk theory. Zbl 0278.60047
Gerber, Hans U.
1973
The probability and severity of ruin for combinations of exponential claim amount distributions and their translations. Zbl 0637.62101
Dufresne, François; Gerber, Hans U.
1988
Utility functions: from risk theory to finance. With discussion and a reply by the authors. Zbl 1081.91511
Gerber, Hans U.; Pafumi, Gérard
1998
Mathematical fun with ruin theory. Zbl 0657.62121
Gerber, Hans U.
1988
Ruin theory in the linear model. Zbl 0505.62086
Gerber, Hans U.
1982
The occurrence of sequence patterns in repeated experiments and hitting times in a Markov chain. Zbl 0449.60050
Gerber, Hans U.; Li, Shuo-Yen Robert
1981
Martingale approach to pricing perpetual American options on two stocks. Zbl 0919.90009
Gerber, Hans U.; Shiu, Elias S. W.
1996
From ruin theory to pricing reset guarantees and perpetual put options. Zbl 0939.91065
Gerber, Hans U.; Shiu, Elias S. W.
1999
Der Einfluß von Zins auf die Ruinwahrscheinlichkeit. Zbl 0217.26804
Gerber, H.
1971
Valuing equity-linked death benefits and other contingent options: a discounted density approach. Zbl 1284.91233
Gerber, Hans U.; Shiu, Elias S. W.; Yang, Hailiang
2012
Geometric Brownian motion models for assets and liabilities: from pension funding to optimal dividends. With discussion by X. Sheldon Lin, Marc Decamps and Marc Goovaerts and a reply by the authors. Zbl 1084.91517
Gerber, Hans U.; Shiu, Elias S. W.
2003
The Omega model: from bankruptcy to occupation times in the red. Zbl 1256.91057
Gerber, Hans U.; Shiu, Elias S. W.; Yang, Hailiang
2012
Pricing lookback options and dynamic guarantees. With discussion by Griselda Deelstra. Zbl 1084.91507
Gerber, Hans U.; Shiu, Elias S. W.
2003
Maximizing dividends without bankruptcy. Zbl 1162.91375
Gerber, Hans U.; Shiu, Elias S. W.; Smith, Nathaniel
2006
Pricing perpetual options for jump processes. With discussion by X. Sheldon Lin and Xiaolan Zhang and a reply by the authors. Zbl 1081.91528
Gerber, Hans U.; Shiu, Elias S. W.
1998
Methods for estimating the optimal dividend barrier and the probability of ruin. Zbl 1141.91513
Gerber, Hans U.; Shiu, Elias S. W.; Smith, Nathaniel
2008
The discounted central limit theorem and its Berry-Esséen analogue. Zbl 0224.60012
Gerber, Hans U.
1971
Pricing dynamic investment fund protection (With discussion by Terence Chan, François-Serge Lhabitant and Svein-Arne Persson and a reply by the authors). Zbl 1083.91516
Gerber, Hans U.; Pafumi, Gérard
2000
On the numerical evaluation of the distribution of aggregate claims and its stop-loss premiums. Zbl 0479.62076
Gerber, Hans U.
1982
The dilemma between dividends and safety and a generalization of the Lundberg-Cramer formulas. Zbl 0281.62097
Gerber, Hans
1974
Pricing perpetual fund protection with withdrawal option (With discussion and a reply by the authors). Zbl 1084.60512
Gerber, Hans U.; Shiu, Elias S. W.
2003
Optimal dividends with incomplete information in the dual model. Zbl 1189.91074
Gerber, Hans U.; Smith, Nathaniel
2008
Valuing equity-linked death benefits in jump diffusion models. Zbl 1290.91162
Gerber, Hans U.; Shiu, Elias S. W.; Yang, Hailiang
2013
“Moments of the surplus before ruin and the deficit at ruin in the Erlang(2) risk process” by Y. Cheng and Q. Tang (discussion). Zbl 1084.60545
Gerber, Hans U.; Shiu, Elias S. W.
2003
Credibility for Esscher premiums. Zbl 0446.62110
Gerber, Hans U.
1980
On the representation of additive principles of premium calculation. Zbl 0484.62109
Gerber, Hans U.; Goovaerts, Marc J.
1981
“Moments of the surplus before ruin and the deficit at ruin in the Erlang(2) risk process” by Y. Cheng and Q. Tang (discussion). Zbl 1084.60546
Gerber, Hans U.; Shiu, Elias S. W.
2003
A direct approach to the discounted penalty function. Zbl 1219.91063
Albrecher, Hansjörg; Gerber, Hans U.; Yang, Hailiang
2010
The probability of ruin for the inverse Gaussian and related processes. Zbl 0768.62097
Dufresne, F.; Gerber, H. U.
1993
On iterative Premium calculation principles. Zbl 0321.62105
Gerber, Hans U.
1974
Life insurance mathematics. With exercises contributed by Samuel H. Cox. Transl. from the German by W. Neuhaus. 3rd ed. Zbl 0869.62072
Gerber, Hans U.
1997
From the generalized gamma to the generalized negative binomial distribution. Zbl 0743.62014
Gerber, Hans U.
1992
An extension of Schütte’s Klammersymbole. Zbl 0162.01901
Gerber, H.
1967
On additive principles of zero utility. Zbl 0584.62172
Gerber, Hans U.
1985
Life insurance mathematics. Transl. from the German by W. Neuhaus. Zbl 0754.62081
Gerber, Hans U.
1990
Investing for retirement: optimal capital growth and dynamic asset allocation. With discussion by Phelim P. Boyle and Gérard Pafumi and a reply by the authors. Zbl 1083.91517
Gerber, Hans U.; Shiu, Elias S. W.
2000
An elementary approach to discrete models of dividend strategies. Zbl 1231.91433
Gerber, Hans U.; Shiu, Elias S. W.; Yang, Hailiang
2010
Chains of reinsurance. Zbl 0532.62083
Gerber, Hans U.
1984
Credibility formulas of the updating type. Zbl 0334.60053
Gerber, Hans U.; Jones, Donald A.
1975
Life insurance mathematics. With exercises contrib. by Samuel H. Cox. Transl. from the German by W. Neuhaus. 2nd, exp. ed. Zbl 0881.62108
Gerber, Hans U.
1995
On the probability of ruin in an autoregressive model. Zbl 0482.62091
Gerber, Hans U.
1981
Rational ruin problems - a note for the teacher. Zbl 0723.62066
Dufresne, François; Gerber, Hans U.
1991
First one hundred zeros of $$J_ 0(x)$$ accurate to 19 significant figures. Zbl 0126.13406
Gerber, H.
1964
Equilibria in a proportional reinsurance market. Zbl 0543.62088
Gerber, Hans U.
1984
Some alternatives for the individual model. Zbl 0818.62092
Kaas, R.; Gerber, H. U.
1994
Pricing financial contracts with indexed homogeneous payoff. Zbl 0816.90012
Gerber, Hans U.; Shiu, Elias S. W.
1994
On the probability of ruin for infinitely divisible claim amount distributions. Zbl 0781.62162
Gerber, Hans U.
1992
An unbayesed approach to credibility. Zbl 0499.62091
Gerber, Hans U.
1982
General jump process and time change - or, how to define stochastic operational time. Zbl 0382.60090
Bühlmann, Hans; Gerber, Hans U.
1978
The Wiener process with drift between a linear retaining and an absorbing barrier. Zbl 0467.60074
Gerber, Hans U.; Goovaerts, Marc; De Pril, Nelson
1981
Obtaining the dividends-penalty identities by interpretation. Zbl 1231.91487
Gerber, Hans U.; Yang, Hailiang
2010
A note on moments of dividends. Zbl 1299.91052
Albrecher, Hansjörg; Gerber, Hans U.
2011
Geometric stopping of a random walk and its applications to valuing equity-linked death benefits. Zbl 1348.91269
Gerber, Hans U.; Shiu, Elias S. W.; Yang, Hailiang
2015
A constraint-free approach to optimal reinsurance. Zbl 1418.91238
Gerber, Hans U.; Shiu, Elias S. W.; Yang, Hailiang
2019
Brouwer’s bar theorem and a system of ordinal notations. Zbl 0205.01103
Gerber, H.
1970
Non-uniqueness of option prices. Zbl 0709.62504
Gerber, Hans U.; Shiu, Elias S. W.
1988
On the monotonicity of stop-loss premiums. Zbl 0559.62085
Gerber, Hans U.; Schuerger, Klaus
1985
Wronski’s formula and the resultant of two polynomials. Zbl 0569.15003
Gerber, Hans U.
1984
On the computation of stop-loss premiums. Zbl 0381.62090
Gerber, Hans U.
1977
Lebensversicherungsmathematik. Zbl 0594.62111
Gerber, Hans U.
1986
A simple proof of Feller’s characterization of the compound Poisson distributions. Zbl 0614.62010
Valderrama Ospina, A.; Gerber, H. U.
1987
Crossing time of annuities with exponential payment rates. Zbl 1333.91027
Gerber, H. U.; Shiu, E. S. W.; Yang, H.
2009
Ein Satz von Khintchin und die Varianz von unimodalen Verteilungen. Zbl 0244.62014
Gerber, Hans U.
1972
From perpetual strangles to Russian options. Zbl 0822.60042
Gerber, Hans U.; Shiu, Elias S. W.
1994
Abschätzung der Ruinwahrscheinlichkeit mit den Methoden der Fluktuationstheorie für Zufallswege. Zbl 0186.25203
Gerber, H.
1969
A geometric proof of Borch’s theorem. Zbl 0375.62097
Gerber, Hans U.
1975
Indicator function and Hattendorff theorem. Zbl 1084.62529
Gerber, Hans U.; Leung, Bartholomew P. K.; Shiu, Elias S. W.
2003
On the small risk approximation. Zbl 0602.62093
Heijnen, Bart; Gerber, Hans U.
1986
From the convolution of uniform distributions to the probability of ruin. Zbl 0692.62078
Gerber, Hans U.
1989
Skewness and stock option prices. With discussion and a reply by the authors. Zbl 1080.60505
Gerber, Hans U.; Landry, Bruno
1997
A characterization of certain families of distributions via Esscher transforms and independence. Zbl 0448.62007
Gerber, Hans U.
1980
On the non-optiomality of proportional reinsurance according to the dividend criterion. Zbl 1333.91016
Albrecher, Hansjörg; Gerber, Hans U.
2009
A constraint-free approach to optimal reinsurance. Zbl 1418.91238
Gerber, Hans U.; Shiu, Elias S. W.; Yang, Hailiang
2019
Geometric stopping of a random walk and its applications to valuing equity-linked death benefits. Zbl 1348.91269
Gerber, Hans U.; Shiu, Elias S. W.; Yang, Hailiang
2015
Valuing equity-linked death benefits in jump diffusion models. Zbl 1290.91162
Gerber, Hans U.; Shiu, Elias S. W.; Yang, Hailiang
2013
Valuing equity-linked death benefits and other contingent options: a discounted density approach. Zbl 1284.91233
Gerber, Hans U.; Shiu, Elias S. W.; Yang, Hailiang
2012
The Omega model: from bankruptcy to occupation times in the red. Zbl 1256.91057
Gerber, Hans U.; Shiu, Elias S. W.; Yang, Hailiang
2012
The optimal dividend barrier in the gamma-omega model. Zbl 1219.91062
Albrecher, Hansjörg; Gerber, Hans U.; Shiu, Elias S. W.
2011
A note on moments of dividends. Zbl 1299.91052
Albrecher, Hansjörg; Gerber, Hans U.
2011
A direct approach to the discounted penalty function. Zbl 1219.91063
Albrecher, Hansjörg; Gerber, Hans U.; Yang, Hailiang
2010
An elementary approach to discrete models of dividend strategies. Zbl 1231.91433
Gerber, Hans U.; Shiu, Elias S. W.; Yang, Hailiang
2010
Obtaining the dividends-penalty identities by interpretation. Zbl 1231.91487
Gerber, Hans U.; Yang, Hailiang
2010
Crossing time of annuities with exponential payment rates. Zbl 1333.91027
Gerber, H. U.; Shiu, E. S. W.; Yang, H.
2009
On the non-optiomality of proportional reinsurance according to the dividend criterion. Zbl 1333.91016
Albrecher, Hansjörg; Gerber, Hans U.
2009
Optimal dividends in the dual model with diffusion. Zbl 1274.91463
Avanzi, Benjamin; Gerber, Hans U.
2008
Methods for estimating the optimal dividend barrier and the probability of ruin. Zbl 1141.91513
Gerber, Hans U.; Shiu, Elias S. W.; Smith, Nathaniel
2008
Optimal dividends with incomplete information in the dual model. Zbl 1189.91074
Gerber, Hans U.; Smith, Nathaniel
2008
Optimal dividends in the dual model. Zbl 1131.91026
Avanzi, Benjamin; Gerber, Hans U.; Shiu, Elias S. W.
2007
A note on the dividends-penalty identity and the optimal dividend barrier. Zbl 1162.91374
Gerber, Hans U.; Lin, X.; Yang, Hailiang
2006
On optimal dividends: from reflection to refraction. Zbl 1089.91023
Gerber, Hans U.; Shiu, Elias S. W.
2006
Maximizing dividends without bankruptcy. Zbl 1162.91375
Gerber, Hans U.; Shiu, Elias S. W.; Smith, Nathaniel
2006
The time value of ruin in a Sparre Andersen model. With discussion and a reply by the authors. Zbl 1085.62508
Gerber, Hans U.; Shiu, Elias S. W.
2005
Optimal dividends: analysis with Brownian motion. Zbl 1085.62122
Gerber, Hans U.; Shiu, Elias S. W.
2004
Geometric Brownian motion models for assets and liabilities: from pension funding to optimal dividends. With discussion by X. Sheldon Lin, Marc Decamps and Marc Goovaerts and a reply by the authors. Zbl 1084.91517
Gerber, Hans U.; Shiu, Elias S. W.
2003
Pricing lookback options and dynamic guarantees. With discussion by Griselda Deelstra. Zbl 1084.91507
Gerber, Hans U.; Shiu, Elias S. W.
2003
Pricing perpetual fund protection with withdrawal option (With discussion and a reply by the authors). Zbl 1084.60512
Gerber, Hans U.; Shiu, Elias S. W.
2003
“Moments of the surplus before ruin and the deficit at ruin in the Erlang(2) risk process” by Y. Cheng and Q. Tang (discussion). Zbl 1084.60545
Gerber, Hans U.; Shiu, Elias S. W.
2003
“Moments of the surplus before ruin and the deficit at ruin in the Erlang(2) risk process” by Y. Cheng and Q. Tang (discussion). Zbl 1084.60546
Gerber, Hans U.; Shiu, Elias S. W.
2003
Indicator function and Hattendorff theorem. Zbl 1084.62529
Gerber, Hans U.; Leung, Bartholomew P. K.; Shiu, Elias S. W.
2003
Discounted probabilities and ruin theory in the compound binomial model. Zbl 1013.91063
Cheng, Shixue; Gerber, Hans U.; Shiu, Elias S. W.
2000
Pricing dynamic investment fund protection (With discussion by Terence Chan, François-Serge Lhabitant and Svein-Arne Persson and a reply by the authors). Zbl 1083.91516
Gerber, Hans U.; Pafumi, Gérard
2000
Investing for retirement: optimal capital growth and dynamic asset allocation. With discussion by Phelim P. Boyle and Gérard Pafumi and a reply by the authors. Zbl 1083.91517
Gerber, Hans U.; Shiu, Elias S. W.
2000
From ruin theory to pricing reset guarantees and perpetual put options. Zbl 0939.91065
Gerber, Hans U.; Shiu, Elias S. W.
1999
On the time value of ruin. With discussion and a reply by the authors. Zbl 1081.60550
Gerber, Hans U.; Shiu, Elias S. W.
1998
On the discounted penalty at ruin in a jump-diffusion and the perpetual put option. Zbl 0924.60075
Gerber, Hans U.; Landry, Bruno
1998
Utility functions: from risk theory to finance. With discussion and a reply by the authors. Zbl 1081.91511
Gerber, Hans U.; Pafumi, Gérard
1998
Pricing perpetual options for jump processes. With discussion by X. Sheldon Lin and Xiaolan Zhang and a reply by the authors. Zbl 1081.91528
Gerber, Hans U.; Shiu, Elias S. W.
1998
The joint distribution of the time of ruin, the surplus immediately before ruin, and the deficit at ruin. Zbl 0894.90047
Gerber, Hans U.; Shiu, Elias S. W.
1997
Life insurance mathematics. With exercises contributed by Samuel H. Cox. Transl. from the German by W. Neuhaus. 3rd ed. Zbl 0869.62072
Gerber, Hans U.
1997
Skewness and stock option prices. With discussion and a reply by the authors. Zbl 1080.60505
Gerber, Hans U.; Landry, Bruno
1997
Actuarial bridges to dynamic hedging and option pricing. Zbl 0896.62112
Gerber, Hans U.; Shiu, Elias S. W.
1996
Martingale approach to pricing perpetual American options on two stocks. Zbl 0919.90009
Gerber, Hans U.; Shiu, Elias S. W.
1996
Life insurance mathematics. With exercises contrib. by Samuel H. Cox. Transl. from the German by W. Neuhaus. 2nd, exp. ed. Zbl 0881.62108
Gerber, Hans U.
1995
Some alternatives for the individual model. Zbl 0818.62092
Kaas, R.; Gerber, H. U.
1994
Pricing financial contracts with indexed homogeneous payoff. Zbl 0816.90012
Gerber, Hans U.; Shiu, Elias S. W.
1994
From perpetual strangles to Russian options. Zbl 0822.60042
Gerber, Hans U.; Shiu, Elias S. W.
1994
The probability of ruin for the inverse Gaussian and related processes. Zbl 0768.62097
Dufresne, F.; Gerber, H. U.
1993
From the generalized gamma to the generalized negative binomial distribution. Zbl 0743.62014
Gerber, Hans U.
1992
On the probability of ruin for infinitely divisible claim amount distributions. Zbl 0781.62162
Gerber, Hans U.
1992
Risk theory for the compound Poisson process that is perturbed by diffusion. Zbl 0723.62065
Dufresne, François; Gerber, Hans U.
1991
Rational ruin problems - a note for the teacher. Zbl 0723.62066
Dufresne, François; Gerber, Hans U.
1991
When does the surplus reach a given target? Zbl 0731.62153
Gerber, Hans U.
1990
Life insurance mathematics. Transl. from the German by W. Neuhaus. Zbl 0754.62081
Gerber, Hans U.
1990
From the convolution of uniform distributions to the probability of ruin. Zbl 0692.62078
Gerber, Hans U.
1989
The surpluses immediately before and at ruin, and the amount of the claim causing ruin. Zbl 0674.62072
Dufresne, François; Gerber, Hans U.
1988
The probability and severity of ruin for combinations of exponential claim amount distributions and their translations. Zbl 0637.62101
Dufresne, François; Gerber, Hans U.
1988
Mathematical fun with ruin theory. Zbl 0657.62121
Gerber, Hans U.
1988
Non-uniqueness of option prices. Zbl 0709.62504
Gerber, Hans U.; Shiu, Elias S. W.
1988
A simple proof of Feller’s characterization of the compound Poisson distributions. Zbl 0614.62010
Valderrama Ospina, A.; Gerber, H. U.
1987
Actuarial mathematics. Zbl 0634.62107
Bowers, Newton L. jun.; Gerber, Hans U.; Hickman, James C.; Jones, Donald A.; Nesbitt, Cecil J.
1986
Lebensversicherungsmathematik. Zbl 0594.62111
Gerber, Hans U.
1986
On the small risk approximation. Zbl 0602.62093
Heijnen, Bart; Gerber, Hans U.
1986
On convex principles of premium calculation. Zbl 0579.62090
Deprez, Olivier; Gerber, Hans U.
1985
On additive principles of zero utility. Zbl 0584.62172
Gerber, Hans U.
1985
On the monotonicity of stop-loss premiums. Zbl 0559.62085
Gerber, Hans U.; Schuerger, Klaus
1985
Error bounds for the compound Poisson approximation. Zbl 0541.62097
Gerber, Hans U.
1984
Chains of reinsurance. Zbl 0532.62083
Gerber, Hans U.
1984
Equilibria in a proportional reinsurance market. Zbl 0543.62088
Gerber, Hans U.
1984
Wronski’s formula and the resultant of two polynomials. Zbl 0569.15003
Gerber, Hans U.
1984
Ruin theory in the linear model. Zbl 0505.62086
Gerber, Hans U.
1982
On the numerical evaluation of the distribution of aggregate claims and its stop-loss premiums. Zbl 0479.62076
Gerber, Hans U.
1982
An unbayesed approach to credibility. Zbl 0499.62091
Gerber, Hans U.
1982
On the probability of ruin in the presence of a linear dividend barrier. Zbl 0455.62086
Gerber, Hans U.
1981
The occurrence of sequence patterns in repeated experiments and hitting times in a Markov chain. Zbl 0449.60050
Gerber, Hans U.; Li, Shuo-Yen Robert
1981
On the representation of additive principles of premium calculation. Zbl 0484.62109
Gerber, Hans U.; Goovaerts, Marc J.
1981
On the probability of ruin in an autoregressive model. Zbl 0482.62091
Gerber, Hans U.
1981
The Wiener process with drift between a linear retaining and an absorbing barrier. Zbl 0467.60074
Gerber, Hans U.; Goovaerts, Marc; De Pril, Nelson
1981
Credibility for Esscher premiums. Zbl 0446.62110
Gerber, Hans U.
1980
A characterization of certain families of distributions via Esscher transforms and independence. Zbl 0448.62007
Gerber, Hans U.
1980
An introduction to mathematical risk theory. Zbl 0431.62066
Gerber, Hans U.
1979
General jump process and time change - or, how to define stochastic operational time. Zbl 0382.60090
Bühlmann, Hans; Gerber, Hans U.
1978
On the computation of stop-loss premiums. Zbl 0381.62090
Gerber, Hans U.
1977
Credibility formulas of the updating type. Zbl 0334.60053
Gerber, Hans U.; Jones, Donald A.
1975
A geometric proof of Borch’s theorem. Zbl 0375.62097
Gerber, Hans U.
1975
The dilemma between dividends and safety and a generalization of the Lundberg-Cramer formulas. Zbl 0281.62097
Gerber, Hans
1974
On iterative Premium calculation principles. Zbl 0321.62105
Gerber, Hans U.
1974
Martingales in risk theory. Zbl 0278.60047
Gerber, Hans U.
1973
Games of economic survival with discrete- and continuous-income processes. Zbl 0236.90079
Gerber, Hans U.
1972
Ein Satz von Khintchin und die Varianz von unimodalen Verteilungen. Zbl 0244.62014
Gerber, Hans U.
1972
Some results for discrete unimodality. Zbl 0236.60017
Keilson, J.; Gerber, H.
1971
Der Einfluß von Zins auf die Ruinwahrscheinlichkeit. Zbl 0217.26804
Gerber, H.
1971
The discounted central limit theorem and its Berry-Esséen analogue. Zbl 0224.60012
Gerber, Hans U.
1971
An extension of the renewal equation and its application in the collective theory of risk. Zbl 0229.60062
Gerber, Hans U.
1970
Brouwer’s bar theorem and a system of ordinal notations. Zbl 0205.01103
Gerber, H.
1970
Entscheidungskriterien für den zusammengesetzten Poisson-Prozeß. Zbl 0193.20501
Gerber, H. U.
1969
Abschätzung der Ruinwahrscheinlichkeit mit den Methoden der Fluktuationstheorie für Zufallswege. Zbl 0186.25203
Gerber, H.
1969
An extension of Schütte’s Klammersymbole. Zbl 0162.01901
Gerber, H.
1967
First one hundred zeros of $$J_ 0(x)$$ accurate to 19 significant figures. Zbl 0126.13406
Gerber, H.
1964
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#### Cited by 1,669 Authors

 63 Yang, Hailiang 49 Gerber, Hans U. 43 Willmot, Gordon E. 37 Zhang, Zhimin 34 Yin, Chuancun 33 Shiu, Elias S. W. 32 Goovaerts, Marc J. 32 Landriault, David 32 Li, Shuanming 31 Wu, Rong 29 Albrecher, Hansjörg 28 Cheung, Eric C. K. 27 Dickson, David C. M. 24 Young, Virginia R. 23 Yuen, Kam Chuen 20 Hu, Yijun 20 Wang, Guojing 19 Siu, Tak Kuen 19 Yang, Hu 18 Lefèvre, Claude 18 Marceau, Étienne 18 Wang, Rongming 17 Palmowski, Zbigniew 17 Schmidli, Hanspeter 17 Zhou, Xiaowen 16 Jin, Zhuo 16 Kaas, Rob 15 Cai, Jun 15 Cossette, Hélène 15 Lu, Yi 15 Sendova, Kristina P. 15 Woo, Jae-Kyung 14 Frostig, Esther 14 Guo, Junyi 14 Lin, X. Sheldon 13 Loisel, Stéphane 13 Tsai, Cary Chi-Liang 13 Yin, Gang George 12 Avram, Florin 12 Badescu, Andrei L. 12 Egídio dos Reis, Alfredo D. 12 Feng, Runhuan 12 Laeven, Roger J. A. 12 Tang, Qihe 12 Zhang, Chunsheng 11 Constantinescu, Corina D. 11 Yang, Xiangqun 10 Cheung, Ka Chun 10 Dhaene, Jan 10 Dong, Yinghui 10 Hürlimann, Werner 10 Kyprianou, Andreas E. 10 Liang, Zhibin 10 Politis, Konstadinos 10 Ren, Jiandong 10 Yam, Sheung Chi Phillip 10 Yao, Dingjun 10 Zhou, Ming 9 Avanzi, Benjamin 9 Bao, Zhenhua 9 Breuer, Lothar 9 Wang, Wenyuan 9 Waters, Howard R. 9 Wong, Bernard 8 Bayraktar, Erhan 8 Czarna, Irmina 8 Drekic, Steve 8 Gajek, Lesław 8 Gatto, Riccardo 8 Kałuszka, Marek 8 Li, Zhongfei 8 Liu, Zaiming 8 Norberg, Ragnar 8 Paulsen, Jostein 8 Picard, Philippe 8 Psarrakos, Georgios 8 Renaud, Jean-François 8 Usábel, Miguel A. 8 Xie, Jiehua 8 Zou, Wei 7 Asmussen, Søren 7 Azcue, Pablo 7 Chen, Ping 7 De Waegenaere, Anja 7 Delbaen, Freddy 7 Denuit, Michel M. 7 Ivanovs, Jevgeņijs 7 Liang, Zongxia 7 Meng, Hui 7 Morales, Manuel 7 Muler, Nora E. 7 Ramsay, Colin M. 7 Rosazza Gianin, Emanuela 7 Shi, Tianxiang 7 Stanford, David A. 7 Tan, Jiyang 7 Yamazaki, Kazutoshi 7 Zeng, Yan 7 Zhu, Jinxia 6 Beekman, John A. ...and 1,569 more Authors
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#### Cited in 200 Serials

 593 Insurance Mathematics & Economics 100 Scandinavian Actuarial Journal 83 North American Actuarial Journal 63 Journal of Computational and Applied Mathematics 62 Statistics & Probability Letters 56 ASTIN Bulletin 48 Journal of Applied Probability 45 Scandinavian Actuarial Journal 35 Methodology and Computing in Applied Probability 31 Acta Mathematicae Applicatae Sinica. English Series 29 Blätter (Deutsche Gesellschaft für Versicherungsmathematik) 26 Stochastic Models 26 European Actuarial Journal 25 Applied Mathematics and Computation 25 Stochastic Processes and their Applications 22 European Journal of Operational Research 19 Advances in Applied Probability 19 Applied Stochastic Models in Business and Industry 18 The Annals of Applied Probability 18 Communications in Statistics. Theory and Methods 18 Applied Mathematics. Series B (English Edition) 15 Lithuanian Mathematical Journal 15 Journal of Industrial and Management Optimization 12 Mathematical Finance 12 Acta Mathematica Sinica. English Series 11 Stochastic Analysis and Applications 11 Mathematical Problems in Engineering 11 Journal of the Korean Statistical Society 10 Journal of Optimization Theory and Applications 10 Finance and Stochastics 10 Mathematical Methods of Operations Research 10 Journal of Systems Science and Complexity 10 Frontiers of Mathematics in China 8 Annals of the Institute of Statistical Mathematics 8 Journal of Mathematical Sciences (New York) 8 Modern Stochastics. Theory and Applications 7 Journal of Statistical Planning and Inference 7 Journal of Economic Dynamics & Control 7 Abstract and Applied Analysis 7 Discrete Dynamics in Nature and Society 6 Mathematical and Computer Modelling 6 Annals of Operations Research 6 Probability in the Engineering and Informational Sciences 5 Automatica 5 Queueing Systems 5 Theory of Probability and Mathematical Statistics 5 Bernoulli 5 Decisions in Economics and Finance 5 Journal of Applied Mathematics 5 Journal of Applied Mathematics and Computing 4 Archiv für Mathematische Logik und Grundlagenforschung 4 Journal of Mathematical Analysis and Applications 4 Zeitschrift für Wahrscheinlichkeitstheorie und Verwandte Gebiete 4 Operations Research Letters 4 Automation and Remote Control 4 Computational Statistics and Data Analysis 4 Applied Mathematical Finance 4 European Series in Applied and Industrial Mathematics (ESAIM): Probability and Statistics 4 International Journal of Theoretical and Applied Finance 4 The ANZIAM Journal 4 Quantitative Finance 4 Stochastics 4 Mathematics and Financial Economics 4 Journal of Statistical Theory and Practice 4 Blätter der DGVFM (Deutsche Gesellschaft für Versicherungs- und Finanzmathematik) 4 Science China. Mathematics 3 Discrete Applied Mathematics 3 Journal of Mathematical Biology 3 Moscow University Mathematics Bulletin 3 Ukrainian Mathematical Journal 3 SIAM Journal on Control and Optimization 3 Statistica Neerlandica 3 Probability and Mathematical Statistics 3 Journal of Theoretical Probability 3 Aequationes Mathematicae 3 Cybernetics and Systems Analysis 3 Statistical Papers 3 Lobachevskii Journal of Mathematics 3 Advances in Difference Equations 3 SIAM Journal on Financial Mathematics 3 Mathematical Control and Related Fields 2 The Canadian Journal of Statistics 2 Computers & Mathematics with Applications 2 Metrika 2 Rocky Mountain Journal of Mathematics 2 Theory of Probability and its Applications 2 The Annals of Probability 2 Applied Mathematics and Optimization 2 Journal of Combinatorial Theory. Series B 2 Journal of Econometrics 2 Journal of Multivariate Analysis 2 Applied Mathematics and Mechanics. (English Edition) 2 Statistics 2 Probability Theory and Related Fields 2 Sequential Analysis 2 Computers & Operations Research 2 Computational Mathematics and Modeling 2 Computational Mathematics and Mathematical Physics 2 Applied Mathematical Modelling 2 Journal of Statistical Computation and Simulation ...and 100 more Serials
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#### Cited in 36 Fields

 1,417 Game theory, economics, finance, and other social and behavioral sciences (91-XX) 960 Probability theory and stochastic processes (60-XX) 645 Statistics (62-XX) 161 Systems theory; control (93-XX) 60 Numerical analysis (65-XX) 55 Operations research, mathematical programming (90-XX) 54 Calculus of variations and optimal control; optimization (49-XX) 35 Integral equations (45-XX) 21 Partial differential equations (35-XX) 17 Integral transforms, operational calculus (44-XX) 15 Computer science (68-XX) 11 Mathematical logic and foundations (03-XX) 11 Biology and other natural sciences (92-XX) 9 Combinatorics (05-XX) 5 Special functions (33-XX) 5 Approximations and expansions (41-XX) 4 Measure and integration (28-XX) 4 Ordinary differential equations (34-XX) 4 Difference and functional equations (39-XX) 4 Harmonic analysis on Euclidean spaces (42-XX) 3 Field theory and polynomials (12-XX) 3 Linear and multilinear algebra; matrix theory (15-XX) 3 Real functions (26-XX) 3 Functional analysis (46-XX) 3 Operator theory (47-XX) 2 Number theory (11-XX) 2 Dynamical systems and ergodic theory (37-XX) 2 Sequences, series, summability (40-XX) 1 History and biography (01-XX) 1 Commutative algebra (13-XX) 1 Functions of a complex variable (30-XX) 1 General topology (54-XX) 1 Global analysis, analysis on manifolds (58-XX) 1 Statistical mechanics, structure of matter (82-XX) 1 Information and communication theory, circuits (94-XX) 1 Mathematics education (97-XX)