caa a22 4500 386332657 CHVBK 20180307111720.0 cr unu---uuuuu 161130e198904 xx s 000 0 eng 10.2143/AST.19.1.2014917 doi S0515036100008370 pii (NATIONALLICENCE)cambridge-10.2143/AST.19.1.2014917 Taylor G. C. Use of Spline Functions for Premium Rating by Geographic Area [Elektronische Daten] [G. C. Taylor] The paper gives details of a case study in the premium rating of a Householders Contents insurance portfolio. The rating is performed by the fitting of bivariate spline functions to a version of operating ratio described in Section 3. The use of bivariate splines requires a small amount of mathematical equipment, which is developed in Section 4. The fitting of splines, using regression is carried out in Sections 5 and 6, where the numerical results are given, including some assessment of goodness-of-fit. Contour maps of the spline surfaces are also given, and used for the selection of geographic areas used for premium rating purposes. These are compared with the areas, past and present, actually used by the insurer concerned. Copyright © International Actuarial Association 1989 ASTIN Bulletin Cambridge University Press 19/1(1989-04), 91-122 0515-0361 19:1<91 1989 19 ASB https://doi.org/10.2143/AST.19.1.2014917 text/html Onlinezugriff via DOI 1 research-article jats NATIONALLICENCE 856 40 https://doi.org/10.2143/AST.19.1.2014917 text/html Onlinezugriff via DOI NATIONALLICENCE 100 1- Taylor G. C. NATIONALLICENCE 773 0- ASTIN Bulletin Cambridge University Press 19/1(1989-04), 91-122 0515-0361 19:1<91 1989 19 ASB CC0 http://creativecommons.org/publicdomain/zero/1.0 nationallicence BK010053 XK010053 XK010000 NATIONALLICENCE NATIONALLICENCE NL-cambridge