Probabilities of ruin

References

• Andersen and E. , Sparre . 1957 . On the collective theory of risk in case of contagion between the claims . Transactions XVth International Congress of Actuaries, New York , dII : 219 – 229 .
   Google Scholar
• von Bahr , B. 1974 . Ruin probabilities expressed in terms of ladder height distributions . Scand. Actuarial Journal , : 190 – 204 .
   Google Scholar
• von Bahr , B. 1975 . Asymptotic ruin probabilities when exponential moments do not exist . Scand. Actuarial Journal , : 6 – 10 .
   Google Scholar
• Brans J. P. Le problème de la ruine en theorie collective du risque. Cas non markovien Cahiers du Centre d'Études de Recherche Operationelle, Bruxelles 1966|{tx-67} d8 159 178
   Google Scholar
• Brans , J. P. 1966-67 . Le probleme de la ruine en theorie collective du risque. Cas non markovien . Cahiers du Centre d'Etudes de Recherche Operationelle, Bruxelles , d9 ( 5–31 ) : 117 – 122 .
   Google Scholar
• Çinlar , E. 1975 . Introduction to stochastic processes , Prentice-Hall .
   Google Scholar
• Cramér , H. 1955 . Collective risk theory . Jubilee volume of Försäkringsaktiebolaget Skandia}, Stockholm ,
   Google Scholar
• Davidson Å. Om ruinproblemet i den kollektiva riskteorin under antagande av variabel säkerhetsbelastning Försäkringsmatematiska studier tillägnade Filip Lundberg|{txStockholm} 1946
   Google Scholar
• Davidson Å. On the ruin problem in the collective theory of risk under the assumption of variable safety loading Skand. Aktuarietidskr. tScand, Actuarial Journal)|{txSupplement, The Filip Lundberg Symposium 1969 70 83
   Google Scholar
• Dreze J.-P. Problème de la ruine en théorie collective du risque I, II. Cahiers du Centre d'Études de Recherche Opérationellem, Bruxelles 1968 d10 127 173|{tx227
   Google Scholar
• Feller , W. 1971 . An introduction to probability theory and its applications , Edited by: 2nd . Vol. II , Wiley .
   Google Scholar
• Janssen , J. 1980 . Some transient results on the M/SM/1 special semi-Markov model in risk and queueing theories . Astin Bulletin , d11 : 41 – 51 .
   Google Scholar
• Lundberg , F. 1903 . I. Approximerad framstiillning af sannolikhetsfunktionen, II. Återföjrsäkring av kollektivrisker , Almqvist & Wiksell .
   Google Scholar
• Segerdahl C.-O. On homogeneous random processes and collective risk theory|{txThesis. Stockholm}. (Printed by Almqvist & Wiksell 1939
   Google Scholar
• Segerdahl , C.-O. 1955 . When does ruin occur in the collective theory of risk? . Skand. Aktuurietidskr (Scand. Actuarial Journal) , : 22 – 36 .
   Google Scholar
• Segerdahl , C.-O. 1970a . Stochastic processes and practical working models . Skand. Aktuurietidskr (Scand. Actuarial Journal) , : 146 – 166 .
   Google Scholar
• Segerdahl , C.-O. 1970b . On some distributions in time connected with the collective theory of risk . Skand. Aktuarietidskr. (Scand. Actuarial Journal) , : 167 – 192 .
   Google Scholar
• Takács , L. 1970 . On risk reserve processes . Skand. Aktuarietidskr. iScund. Actuarial Journal) , : 64 – 75 .
   Google Scholar
• Taylor , G. C. 1980 . Probability of ruin with variable premium rate . Scand. Actuarial Journal , : 57 – 76 .
   Google Scholar
• Thorin , O. 1970 . Some remarks on the ruin problem in case the epochs of claims form a renewal process . Skand. Aktuarietidskr. (Scand. Actuarial Journal) , : 29 – 50 .
   Google Scholar
• Thorin O. Further remarks on the ruin problem in case the epochs of claims form a renewal process Skand. Aktuarietidskr. (Scand. Actuarial Journal) 1971 14 38|{tx121
   Google Scholar
• Thorin , O. 1973 . The ruin problem in case the tail of the claim distribution is completely monotone . Skand. Aktuarietidskr. (Scand. Actuarial Journal) , : 100 – 119 .
   Google Scholar
• Thorin , O. 1974a . On the asymptotic behavior of the ruin probability for an infinite period when the epochs of claims form a renewal process . Scand. Actuarial Journal , : 81 – 99 .
   Google Scholar
• Thorin , O. 1974b . Some comments on the Sparre Andersen model in the risk theory . Astin Bulletin , d8 : 104 – 125 .
   Google Scholar
• Thorin , O. 1975 . Stationarity aspects of the Sparre Andersen risk process and the corresponding ruin probabilities . Scand. Actuarial Journal , : 87 – 98 .
   Google Scholar
• Thorin , O. 1976 . Stationarity and the start of a renewal process . Scand. Actuarial Journal , : 235 – 239 .
   Google Scholar
• Thorin O. Ruin probabilities prepared for numerical calculation Scand. Actuarial Journal{txSupplement} 1977 7 17
   Google Scholar
• Thorin , O. and Wikstad , N. 1973 . Numerical evaluation of ruin probabilities for a finite period . Astin Bulletin , d7 : 137 – 153 .
   Google Scholar
• Thorin , O. and Wikstad , N. 1977 . Calculation of ruin probabilities when the claim distribution is lognormal . Astin Bulletin , d9 : 231 – 246 .
   Google Scholar
• de Vylder , F. 1977 . Martingales and ruin in a dynamical risk process . Scand. Actuarial Journal , : 217 – 225 .
   Google Scholar
• Widder , D. V. 1946 . The Laplace transform , Princeton University Press .
   Google Scholar
• Wikstad , N. 1971 . Exemplification of ruin probabilities . Astin Bulletin , d6 : 147 – 152 .
   Google Scholar
• Wikstad , N. 1977 . How to calculate ruin probabilities according to the classical risk theory . Scand. Actuarial Journal, Supplement , : 19 – 24 .
   Google Scholar