# Elsevier

# Insurance: Mathematics and Economics

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**Editor:**

**Current editor:**Hansjoerg Albrecher

**Current editor:**M. J. Goovaerts

**Current editor:**E. S. W. Shiu

Additional information is available for the following
registered editor(s): Marc Goovaerts
**For corrections or technical questions regarding this series, please contact
(Zhang, Lei)**

**Series handle:**repec:eee:insuma

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### 1998, Volume 22, Issue 3

**251-262 Ruin probabilities for Erlang(2) risk processes***by*Dickson, David C. M. & Hipp, Christian**263-276 On the discounted penalty at ruin in a jump-diffusion and the perpetual put option***by*Gerber, Hans U. & Landry, Bruno**277-285 On distribution-free safe layer-additive pricing***by*Hurlimann, W.

### 1998, Volume 22, Issue 2

**123-138 Non-Poissonian claims' arrivals and calculation of the probability of ruin***by*Malinovskii, Vsevolod K.**139-143 A note on interest rate term structure estimation using tension splines***by*Barzanti, Luca & Corradi, Corrado**145-161 Ordering risks: Expected utility theory versus Yaari's dual theory of risk***by*Wang, Shaun S. & Young, Virginia R.**163-170 Closure properties of some partial orderings under mixing***by*Hesselager, Ole

### 1998, Volume 22, Issue 1

**1-1 The interplay between insurance, finance and control***by*Asmussen, Soren & Barndorff-Nielsen, Ole. E.**3-16 Ruin theory with compounding assets -- a survey***by*Paulsen, Jostein**17-23 Some system theoretic aspects of interest rate theory***by*Bjork, Tomas & Christensen, Bent Jesper & Gombani, Andrea**25-39 Concepts and methods for discrete and continuous time control under uncertainty***by*Runggaldier, Wolfgang J.**41-51 Optimal proportional reinsurance policies for diffusion models with transaction costs***by*Hojgaard, Bjarne & Taksar, Michael**53-64 On some filtering problems arising in mathematical finance***by*Brigo, Damiano & Hanzon, Bernard**65-73 An actuarial approach to option pricing under the physical measure and without market assumptions***by*Bladt, Mogens & Rydberg, Tina Hviid**75-91 On piecewise deterministic Markov control processes: Control of jumps and of risk processes in insurance***by*Schal, Manfred**93-104 Ruin probabilities in perturbed risk models***by*Schlegel, Sabine**105-122 Optimal risk and dividend control for a company with a debt liability***by*Taksar, Michael I. & Zhou, Xun Yu

### 1997, Volume 21, Issue 3

**185-193 Stochastic time changes in catastrophe option pricing***by*Geman, Helyette & Yor, Marc**195-200 A note on Shiu's immunization results***by*Uberti, M.**201-218 Asset allocation with time variation in expected returns***by*Boyle, Phelim P. & Yang, Hailiang**219-223 Stop-loss order for portfolios of dependent risks***by*Muller, Alfred**225-244 IBNR reserves under stochastic interest rates***by*Goovaerts, Marc & De Schepper, Ann

### 1997, Volume 21, Issue 2

**95-95 Preface***by*Shiu, Elias S. W.**97-102 An old-age social security program for Bangladesh***by*Beekman, John A. & Kabir, Md. Humayun**103-111 Better late than never: The case of the rollover option***by*Bilodeau, Claire**113-127 Reserving for maturity guarantees: Two approaches***by*Boyle, Phelim P. & Hardy, Mary R.**129-137 The joint distribution of the time of ruin, the surplus immediately before ruin, and the deficit at ruin***by*Gerber, Hans U. & Shiu, Elias S. W.**139-152 The Istanbul option: Where the standard European option becomes Asian***by*Jacques, Michel**153-162 Hedging strategies using catastrophe insurance options***by*O'Brien, Thomas**163-172 Regression-quantile graduation of Australian life tables, 1946-1992***by*Portnoy, Esther**173-183 Axiomatic characterization of insurance prices***by*Wang, Shaun S. & Young, Virginia R. & Panjer, Harry H.

### 1997, Volume 21, Issue 1

**1-16 The effect of interest on negative surplus***by*Dickson, David C. M. & Egidio dos Reis, Alfredo D.**17-24 Non-optimal prediction by the chain ladder method***by*Schmidt, Klaus D.**25-42 Bounds for compound distributions based on mean residual lifetimes and equilibrium distributions***by*Willmot, Gordon E.**43-79 Stochastic pension fund modelling***by*Cairns, Andrew J. G. & Parker, Gary**81-89 Testing independence in bivariate distributions of claim frequencies and severities***by*Carriere, Jacques F.**91-92 Practical analysis of extreme values : J. Beirlant, J. Teugels and P. Vynckier, Leuven University Press, 1996***by*Klugman, Stuart

### 1997, Volume 20, Issue 3

**173-195 Unemployment insurance and mortgages***by*Gourieroux, C. & Scaillet, O.**197-213 Some new classes of stochastic order relations among arithmetic random variables, with applications in actuarial sciences***by*Denuit, Michel & Lefevre, Claude**215-223 Optimal choice of dividend barriers for a risk process with stochastic return on investments***by*Paulsen, Jostein & Gjessing, Hakon K.**225-242 Reserving consecutive layers of inwards excess-of-loss reinsurance***by*Taylor, Greg**243-250 The present value of a stochastic perpetuity and the Gamma distribution***by*Milevsky, Moshe Arye

### 1997, Volume 20, Issue 2

**79-95 The variance of a truncated random variable and the riskiness of the underlying variables***by*Sercu, Piet**97-114 Stable Lévy motion approximation in collective risk theory***by*Furrer, Hansjorg & Michna, Zbigniew & Weron, Aleksander**115-135 Moving average rates of return and the variability of pension contributions and fund levels for a defined benefit pension scheme***by*Haberman, Steven & Lam, Yuk Patrick & Wong

### 1997, Volume 20, Issue 1

**1-15 Controlled diffusion models for optimal dividend pay-out***by*Asmussen, Soren & Taksar, Michael**17-21 Liquid asset allocation using "newsvendor" models with convex shortage costs***by*Gerchak, Yigal & Wang, Shaun**23-34 Computing compound distributions faster!***by*den Iseger, P. W. & Smith, M. A. J. & Dekker, R.**35-41 A straightforward analytical calculation of the distribution of an annuity certain with stochastic interest rate***by*Vanneste, M. & Goovaerts, M. J. & De Schepper, A. & Dhaene, J.**43-58 The solution of Schmitter's simple problem: Numerical illustration***by*De Vylder, F. & Goovaerts, M. & Marceau, E.**59-78 The bi-atomic uniform minimal solution of Schmitter's problem***by*De Vylder, F. & Goovaerts, M. & Marceau, E.

### 1997, Volume 19, Issue 3

**187-235 Markov models and Thiele's integral equations for the prospective reserve***by*Milbrodt, Hartmut & Stracke, Andrea**237-241 Application of mixture models to approximation of age-at-death distribution***by*Jasiulewicz, Helena**243-253 On the dependency of risks in the individual life model***by*Dhaene, J. & Goovaerts, M. J.

### 1997, Volume 19, Issue 2

**85-94 The adjustment function in ruin estimates under interest force***by*Sundt, Bjorn & Teugels, Jozef L.**95-103 On the relationship between bounds on the tails of compound distributions***by*Willmot, Gordon E.**105-126 Dual modelling and select mortality***by*Renshaw, A. E. & Haberman, S.**127-139 Stochastic investment returns and contribution rate risk in a defined benefit pension scheme***by*Haberman, Steven

### 1996, Volume 19, Issue 1

**1-18 The numerical solution of the Schmitter problems: Theory***by*De Vylder, F. & Marceau, E.**19-30 Valuation of the early-exercise price for options using simulations and nonparametric regression***by*Carriere, Jacques F.**31-43 Claims reserving and generalised additive models***by*Verrall, Richard**45-53 Goodness of fit test statistics for the zeta family***by*Luong, Andrew & Doray, Louis G.**55-59 Deductible insurance and production: A comment***by*Gollier, Christian**61-80 Reinsurance and ruin***by*Dickson, David C. M. & Waters, Howard R.**81-83 Correction note to "On the preservation of some orderings of risks under convolution"***by*Pellerey, Franco

### 1996, Volume 18, Issue 3

**173-181 Aspects of prospective mean values in risk theory***by*Moller, Christian M.**183-218 Actuarial bridges to dynamic hedging and option pricing***by*Gerber, Hans U. & Shiu, Elias S. W.**219-219 Bounds on the tails of convolutions of compound distributions***by*Willmot, Gordon E. & Lin, Xiadong

### 1996, Volume 18, Issue 2

**89-107 Mixtures of tails in clustered automobile collision claims***by*Kalb, Guyonne R. J. & Kofman, Paul & Vorst, Ton C. F.**109-114 Ordering of risks under PH-transforms***by*Wang, Shaun**115-117 On the estimation of smooth forward rate curves from a finite number of observations: A comment***by*Corradi, Corrado**119-127 Some results about the expected ruin time in Markov-modulated risk models***by*Bauerle, Nicole

### 1996, Volume 18, Issue 1

**1-12 Taylor-series expansion for multivariate characteristics of classical risk processes***by*Frey, Andreas & Schmidt, Volker**13-27 On smoothness terms in multidimensional Whittaker graduation***by*Broffitt, James D.**29-33 Bounds on the tails of convolutions of compound distributions***by*Willmot, Gordon E. & Lin, Xiaodong**35-42 On probability distributions of present values in life insurance***by*Hesselager, Ole & Norberg, Ragnar**43-57 UMVUE of the IBNR reserve in a lognormal linear regression model***by*Doray, Louis G.**59-71 Stability of pension systems when gains/losses are amortized and rates of return are autoregressive***by*Gerrard, R. & Haberman, S.**73-79 Statistical tests of stochastic process models used in the financial theory of insurance companies***by*Brockett, Patrick L. & Witt, Robert C. & Golany, Boaz & Sipra, Naim & Xia, Xiaohua**81-85 The compound Poisson approximation for a portfolio of dependent risks***by*Goovaerts, M. J. & Dhaene, J.

### 1996, Volume 17, Issue 3

**203-214 Harmonic analysis of pension funding methods***by*Mandl, Petr & Mazurova, Lucie**215-222 Orderings of risks: A comparative study via stop-loss transforms***by*Muller, Alfred**223-224 A unification of some order relations***by*Hesselager, Ole

### 1995, Volume 17, Issue 2

**101-118 A theory of risk, return and solvency***by*Powers, Michael R.**119-123 Deductible insurance and production***by*Machnes, Yaffa**125-132 A reappraisal of the principle underlying the conventional actuarial estimator of qx***by*Puzey, Anthony S.**133-147 Optimal per claim deductibility in insurance with the possibility of risky investments***by*Paulsen, Jostein**149-161 Estimating the adjustment coefficient in an ARMA(p, q) risk model***by*Christ, Ralf & Steinebach, Josef**163-169 Long-term returns in stochastic interest rate models***by*Deelstra, G. & Delbaen, F.**171-180 Differential equations for moments of present values in life insurance***by*Norberg, Ragnar**181-192 A counting process approach to stochastic interest***by*Moller, Christian Max**193-201 Ordering claim size distributions and mixed Poisson probabilities***by*Kaas, R. & Hesselager, O.

### 1995, Volume 17, Issue 1

**1-17 On the graduations associated with a multiple state model for permanent health insurance***by*Renshaw, A. E. & Haberman, S.**19-34 Allocation of solvency cost in group annuities: Actuarial principles and cooperative game theory***by*Alegre, Antoni & Claramunt, M. Merce**35-41 On two-sided compound binomial distributions***by*Shaun, Wang**43-54 Insurance pricing and increased limits ratemaking by proportional hazards transforms***by*Shaun, Wang

### 1995, Volume 16, Issue 3

**211-224 A second order stochastic differential equation for the force of interest***by*Parker, Gary**225-253 Equity-linked life insurance: A model with stochastic interest rates***by*Aase Nielsen, J. & Sandmann, Klaus**255-260 Quadratic distance estimators for the zeta family***by*Doray, Louis G. & Luong, Andrew

### 1995, Volume 16, Issue 2

**107-127 A family of discrete distributions***by*Ambagaspitiya, R. S.**129-134 Order relations for some distributions***by*Hesselager, Ole**135-149 Cramer-Lundberg approximations for ruin probabilities of risk processes perturbed by diffusion***by*Schmidli, H.**151-159 Predictive stop-loss premiums and Student's t-distribution***by*Hurlimann, Werner

### 1995, Volume 16, Issue 1

**1-6 Loss robustness via Fisher-weighted squared-error loss function***by*Makov, Udi E.**7-22 Ruin estimates under interest force***by*Sundt, Bjorn & Teugels, Jozef L.**23-30 On the preservation of some orderings of risks under convolution***by*Pellerey, Franco**31-38 Recursions for the individual model***by*Dhaene, Jan & Vandebroek, Martina**39-62 Actuarial models for pricing disability benefits: Towards a unifying approach***by*Pitacco, Ermanno**63-68 Corporate spin-offs as a value enhancing technique when faced with legal liability***by*MacMinn, Richard D. & Brockett, Patrick L.**69-77 A stochastic population model for high demand CCRCs***by*Jones, Bruce L.**79-105 Explicit analytic ruin probabilities for bounded claims***by*De Vylder, F. & Marceau, E.

### 1994, Volume 15, Issue 2-3

**121-126 From perpetual strangles to Russian options***by*Gerber, Hans U. & Shiu, Elias S. W.**127-132 Some alternatives for the individual model***by*Kaas, R. & Gerber, H. U.**133-138 Which stochastic model is underlying the chain ladder method?***by*Mack, Thomas**139-149 Longest runs in coin tossing***by*Binswanger, K. & Embrechts, P.**151-162 Dynamic approaches to pension funding***by*Haberman, Steven & Sung, Joo-Ho**163-179 Actuarial equivalence***by*Wolthuis, Henk**181-186 A note on the solution of practical ruin problems***by*De Vylder, F. & Goovaerts, M. J.**187-201 Capital structure and the cost of equity capital in the property-liability insurance industry***by*Cummins, J. David & Lamm-Tennant, Joan**203-217 Premium adjustment by generalized adaptive exponential smoothing***by*Herkenrath, U.**219-231 Compound model for two dependent kinds of claim***by*Partrat, Christian

### 1994, Volume 15, Issue 1

**1-21 Properties of functions of the excess of loss retention limit with applications***by*Paulsen, Jostein & Gjessing, Hakon**23-36 Exponential inequalities for ruin probabilities of risk processes perturbed by diffusion***by*Furrer, H. J. & Schmidli, H.**37-48 The distributions of annuities***by*Vanneste, M. & Goovaerts, M. J. & Labie, E.**49-63 Refinements and distributional generalizations of Lundberg's inequality***by*Willmot, Gordon E.**65-65 Equilibria in a mixed financial-reinsurance market with constrained trading possibilities***by*De Waegenaere, Anja

### 1994, Volume 14, Issue 3

**197-204 A note on experience rating, reinsurance and premium principles***by*Hurlimann, Werner**205-218 Equilibria in a mixed financial-reinsurance market with constrained trading possibilities***by*Waegenaere, Anja De**219-240 Autoregressive rates of return and the variability of pension contributions and fund levels for a defined benefit pension scheme***by*Haberman, S.

### 1994, Volume 14, Issue 2

**107-115 On some measures of the severity of ruin in the classical Poisson model***by*Picard, Philippe**117-127 Evaluation of the GIC rollover option***by*Pedersen, Hal W. & Shiu, Elias S. W.**129-138 Proportional convergence and tail-cutting techniques in evaluating aggregate claim distributions***by*Wang, Shaun & Panjer, Harry**139-161 A survey of stochastic continuous time models of the term structure of interest rates***by*Vetzal, Kenneth R.**163-179 On the first crossing of the surplus process with a given upper barrier***by*Picard, Philippe & Lefevre, Claude**181-196 On a class of approximative computation methods in the individual risk model***by*Dhaene, Jan & Pril, Nelson De

### 1994, Volume 14, Issue 1

**1-18 Pricing long term care insurance contracts***by*Levikson, B. & Mizrahi, G.**19-32 Trend analysis and prediction procedures for time nonhomogeneous claim processes***by*Berg, Menachem P. & Haberman, Steven**33-37 An analytical inversion of a Laplace transform related to annuities certain***by*De Schepper, A. & Teunen, M. & Goovaerts, M.**39-50 Some results on the estimation of the credibility factor in the classical Buhlmann model***by*Dannenburg, Dennis**51-60 Ruin problems and dual events***by*Dickson, David C. M. & dos Reis, Alfredo Egidio

### 1993, Volume 13, Issue 3

**241-254 How to (and how not to) compute stop-loss premiums in practice***by*Kaas, R.**255-262 A stop-loss experience rating scheme for fleets of cars, Part II***by*Szynal, Dominik & Teugels, Jozef L.**263-270 Pension funding : The effect of changing the frequency of valuations***by*Haberman, Steven**271-285 Delay, feedback and variability of pension contributions and fund levels***by*Zimbidis, Alexandros & Haberman, Steven**287-297 Critical starting points for stable evaluation of mixed Poisson probabilities***by*Wang, Shaun & Panjer, Harry**299-302 Production decisions in case of monotone likelihood ratio shifts of cumulative distribution functions***by*Machnes, Yaffa**303-304 Pricing equity-linked life insurance with endogenous minimum guarantees : A corrigendum***by*Bacinello, Anna Rita & Ortu, Fulvio

### 1993, Volume 13, Issue 2

**99-99 Editorial: Disability risk in the EC***by*Goovaerts, M. J. & Kaas, R.**101-116 Disability insurance in The Netherlands***by*Gregorius, F. K.**117-122 Summary of talk on 'Work of the CMI PHI Sub-Committee'***by*Hertzman, Eugene**123-130 Permanent health insurance: Overviews and market conditions in the UK***by*Mackay, Graham**131-140 The actuarial treatment of the disability risk in Germany, Austria and Switzerland***by*Segerer, Gunther

### 1993, Volume 13, Issue 1

**1-5 Bonus-malus system or partial coverage to oppose moral hazard problems?***by*Vandebroek, Martina**7-14 A state space formulation of Whittaker graduation, with extensions***by*Verrall, R. J.**15-22 Annuity distributions : A new class of compound Poisson distributions***by*Ramsay, Colin M.**23-34 From planar Brownian windings to Asian options***by*Yor, Marc**35-37 On Berry-Esseen results for the compound Poisson distribution***by*Michel, R.**39-44 Remarks on the Swiss premium principle on positive risks***by*Beyer, Dirk & Riedel, Manfred**45-56 Pension funding with time delays and autoregressive rates of investment return***by*Haberman, Steven**57-62 Asymptotic estimates for the probability of ruin in a Poisson model with diffusion***by*Veraverbeke, Noel**63-74 On the application of Thiele's differential equation in life insurance***by*Linnemann, Per**75-81 A semi-parametric estimator of a risk distribution***by*Carriere, Jacques**83-97 Extensions of Ohlin's lemma with applications to optimal reinsurance structures***by*Hesselager, Ole

### 1993, Volume 12, Issue 3

**225-244 Optimal claim behaviour for vehicle damage insurances***by*Dellaert, N. P. & Frenk, J. B. G. & van Rijsoort, L. P.**245-257 Pricing equity-linked life insurance with endogenous minimum guarantees***by*Bacinello, Anna Rita & Ortu, Fulvio**259-264 Asymptotic ordering of risks and ruin probabilities***by*Kluppelberg, Claudia**265-286 A Bayesian analysis of a simultaneous equations model for insurance rate-making***by*Scollnik, David P. M.**287-295 Empirical probability generating function : An overview***by*Nakamura, Miguel & Perez-Abreu, Victor**297-299 Using expected loss ratios in reserving***by*Gogol, Daniel

### 1993, Volume 12, Issue 2

**113-126 Moving weighted average graduation using kernel estimation***by*Gavin, John & Haberman, Steven & Verrall, Richard**127-132 Some remarks on actuarial payment functions***by*Milbrodt, Hartmut**133-142 Ruin probabilities in the compound binomial model***by*Willmot, Gordon E.**143-154 On the distribution of the claim causing ruin***by*Dickson, David C. M.**155-165 Fitting a parametric distribution for large claims in case of censored or partitioned data***by*Weba, Michael

### 1993, Volume 12, Issue 1

**1-1 Editorial***by*Kuys, P. H. M.**3-8 Nonparametric tests for mixed Poisson distributions***by*Carriere, Jacques**9-22 The probability of ruin for the Inverse Gaussian and related processes***by*Dufresne, F. & Gerber, H. U.**23-38 How long is the surplus below zero?***by*Egidio dos Reis, Alfredo**39-45 The transformed rejection method for generating Poisson random variables***by*Hormann, W.**47-56 The impact of government social security payments on the annuity market***by*Simon Power & Townley, Peter G. C.**57-60 Asymmetries and household insurance : A note***by*Eisenhauer, Joseph G.**61-61 Ordering of risks : Angela van Heerwaarden, (Thesis publishers, Amsterdam, 1992) pp. 159, fl.37,50/US $21,-, ISBN 90.5170.122.5***by*Goovaerts, M. J.

### 1992, Volume 11, Issue 4

**247-247 Editorial***by*Delbaen, F.**249-257 A Hilbert space proof of the fundamental theorem of asset pricing in finite discrete time***by*Schachermayer, W.**259-269 Estimation of the yield curve and the forward rate curve starting from a finite number of observations***by*Delbaen, F. & Lorimier, Sabine**271-281 Interest randomness in annuities certain***by*De Schepper, A. & De Vylder, F. & Goovaerts, M. & Kaas, R.**283-290 Some further results on annuities certain with random interest***by*De Schepper, A. & Goovaerts, M.**291-294 The Laplace transform of annuities certain with exponential time distribution***by*De Schepper, A. & Goovaerts, M. & Delbaen, F.**295-299 Remarks on the methodology introduced by Goovaerts et al***by*Deelstra, G. & Delbaen, F.**301-310 A stochastic interest model with an application to insurance***by*Dietz, Hans M.**311-314 Numerical evaluation of the Wilkie inflation model***by*Hurlimann, Werner

### 1992, Volume 11, Issue 3

**167-171 Optimal parameter estimation under zero excess assumptions in the Buhlmann--Straub model***by*De Vylder, F. & Goovaerts, M.**173-177 Immunization of investments with partially negative cash-flows***by*Salinelli, Ernesto**179-189 Pension funding with time delays : A stochastic approach***by*Haberman, Steven**191-207 On the distribution of the surplus prior to ruin***by*Dickson, David C. M.**209-222 State space modeling of non-standard actuarial time series***by*Carlin, Bradley P.**223-235 Finding the optimal allocation to a health-care reimbursement account***by*Nunnikhoven, Thomas S.**237-245 Portfolio selection by mutual insurance companies and optimal participating insurance policies***by*Gollier, Christian & Wibaut, Serge

### 1992, Volume 11, Issue 2

**81-82 Editorial***by*de Vylder, F. & Goovaerts, M. J. & Kaas, R.**83-86 The actuary***by*Buhlmann, H.