Goovaerts, M.; de Vylder, F. A characterization of the class of credibility matrices corresponding to a certain class of discrete distributions. (English) Zbl 0545.62068 Insur. Math. Econ. 3, 201-204 (1984). In the article reviewed above, Zbl 0545.62067, so called credibility matrices have been introduced and studied in the framework of general properties of matrices, such as non-negativity, total positivity, etc. In the present note we characterize a class of credibility matrices generated by the normed sequence of functions \((p_ 0,p_ 1,...,p_ n)\) on \(K=[0,b]\) where \(p_ i(\theta)=f(i)g(\theta)h^ i(\theta)\), \(i=0,...,n\), \(\theta \in K\), and where f, g, h are nonnegative (eventually depending on n, n may be finite or infinite). For simplicity we suppose h to be monotonic and continuous (Authors’ summary.) Reviewer: A.Reich Cited in 1 Document MSC: 62P05 Applications of statistics to actuarial sciences and financial mathematics 15A99 Basic linear algebra Keywords:characterization; discrete distributions; credibility matrices Citations:Zbl 0545.62067 PDFBibTeX XMLCite \textit{M. Goovaerts} and \textit{F. de Vylder}, Insur. Math. Econ. 3, 201--204 (1984; Zbl 0545.62068) Full Text: DOI References: [1] De Vylder, F.; Goovaerts, M., The structure of the distribution of a couple of observable random variables in credibility theory, Insurance: Mathematics & Economics, 3, 179-188 (1984), (this issue) · Zbl 0545.62067 [2] Shohat, J. A.; Tamarkin, J. D., The Problem of Moments, (Mathematical Surveys, Vol. I (1963), American Mathematical Society: American Mathematical Society Providence, RI) · Zbl 0112.06902 [3] Polya, G.; Szegö, G., (Aufgaben und Lehrsätze aus der Analysis, Vols. I, II (1925), Springer: Springer Berlin) · JFM 51.0173.01 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.