×

Prediction of outstanding claims: A hierarchical credibility approach. (English) Zbl 0778.62097

This paper presents a hierarchical credibility model for predicting unpaid losses which arise from incurred but not yet reported claims, where the distribution of notification delays depends on the type of claim.
Reviewer: E.Shiu (Iowa City)

MSC:

62P05 Applications of statistics to actuarial sciences and financial mathematics
Full Text: DOI

References:

[1] DOI: 10.2143/AST.19.2.2014905 · doi:10.2143/AST.19.2.2014905
[2] Beard R., Risk Theory, 3. ed. (1984) · doi:10.1007/978-94-011-7680-4
[3] De Groot M. H., Optimal statistical decisions (1970)
[4] DOI: 10.1016/0167-6687(82)90019-1 · Zbl 0504.62091 · doi:10.1016/0167-6687(82)90019-1
[5] Hesselager O. Estimation of variance components in hierarchical regression models with nested classification 1988Working paper; Laboratory of Actuarial Math.; Copenhagenno.69
[6] DOI: 10.2143/AST.18.1.2014962 · doi:10.2143/AST.18.1.2014962
[7] DOI: 10.2143/AST.19.1.2014914 · doi:10.2143/AST.19.1.2014914
[8] DOI: 10.2143/AST.20.1.2005486 · doi:10.2143/AST.20.1.2005486
[9] Jewell, W. S. 1990b. Predicting IBNYR events and delays. III. Collateral Data. Paper presented to theXXIInd Astin Colloquium. 1990b, Montreux. 1990
[10] DOI: 10.1080/03461238.1986.10413806 · Zbl 0648.62106 · doi:10.1080/03461238.1986.10413806
[11] DOI: 10.1080/03461238.1986.10413807 · Zbl 0649.62099 · doi:10.1080/03461238.1986.10413807
[12] Taylor G. C., Claims reserving in non-life insurance (1986) · Zbl 0584.62171
[13] Witting T., Blätter of the German Association of Actuaries 18 pp 45– (1987)
This reference list is based on information provided by the publisher or from digital mathematics libraries. Its items are heuristically matched to zbMATH identifiers and may contain data conversion errors. In some cases that data have been complemented/enhanced by data from zbMATH Open. This attempts to reflect the references listed in the original paper as accurately as possible without claiming completeness or a perfect matching.