de Vylder, F.; Goovaerts, M. Semilinear credibility with several approximating functions. (English) Zbl 0571.62095 Insur. Math. Econ. 4, 155-162 (1985). Usual credibility estimators are linear functions of the observable random variables. Semilinear credibility estimators are linear functions of some function f of the observable random variables. The estimators mainly considered in this paper are linear functions of several functions \(f_ 1,...,f_ r\) of the observable random variables. Cited in 1 Document MSC: 62P05 Applications of statistics to actuarial sciences and financial mathematics Keywords:approximating functions; maximum likelihood estimation; tables; Semilinear credibility estimators PDFBibTeX XMLCite \textit{F. de Vylder} and \textit{M. Goovaerts}, Insur. Math. Econ. 4, 155--162 (1985; Zbl 0571.62095) Full Text: DOI References: [1] De Vylder, F., Optimal semilinear credibility, Vereinigung Schweizerischer Versicherungsmathematiker. Mitteilungen (1976) · Zbl 0329.62077 [2] De Vylder, F.; Ballegeer, Y., A numerical illustration of optimal semilinear credibility theory, The Astin Bulletin (1979) [3] De Vylder, F.; Goovaerts, M., The structure of the distribution of a couple of observable random variables in credibility theory, Insurance: Mathematics and Economics (1984) · Zbl 0545.62067 [4] Thyrion, P., Quelques observations statistiques sur la variable “nombre de sinistres” en assurance automobile, The Astin Bulletin (1972) 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.