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CONDITIONAL RECURSIVE EQUATIONS ON EXCESS-OF-LOSS REINSURANCE

CONDITIONAL RECURSIVE EQUATIONS ON EXCESS-OF-LOSS REINSURANCE
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摘要 The rharginal recursive equations on excess-of-loss reinsurance treaty are investignted, under the assumption that the number of claims belongs to the family consisting of Poisson, binomial and negative binomial, and that the severity distribution has bounded continuous density function. On conditional of the numbers of claims associated with the reinsurer and the cedent, some recursive equations are obtained for the marginal distributions of the total payments of the reinsurer and the cedent. The rharginal recursive equations on excess-of-loss reinsurance treaty are investignted, under the assumption that the number of claims belongs to the family consisting of Poisson, binomial and negative binomial, and that the severity distribution has bounded continuous density function. On conditional of the numbers of claims associated with the reinsurer and the cedent, some recursive equations are obtained for the marginal distributions of the total payments of the reinsurer and the cedent.
出处 《Applied Mathematics and Mechanics(English Edition)》 SCIE EI 2006年第8期1071-1080,共10页 应用数学和力学(英文版)
基金 Project supported by the National Natural Science Foundation of China (Nos. 10471008, 19831020)
关键词 Panjer recursion Poisson distribution binomial distribution negative binomial distribution excess-of-loss reinsurance Panjer recursion Poisson distribution binomial distribution negative binomial distribution excess-of-loss reinsurance
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