{"id":4432,"date":"2019-03-01T17:03:36","date_gmt":"2019-03-01T17:03:36","guid":{"rendered":"https:\/\/detralytics.com\/?p=4432"},"modified":"2026-08-21T13:31:46","modified_gmt":"2026-08-21T13:31:46","slug":"effective-tools-for-assessing-the-performance-of-pricing-models","status":"publish","type":"post","link":"https:\/\/detralytics.com\/fr\/publication\/effective-tools-for-assessing-the-performance-of-pricing-models\/","title":{"rendered":"Model selection based on Lorenz and concentration curves, Gini indices and convex order"},"content":{"rendered":"
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Model selection based on Lorenz and concentration curves, Gini indices and convex order<\/h1>\t\t\t\t<\/div>\n\t\t\t\t<\/div>\n\t\t\t\t
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DetraNote 2020-3<\/h3>\t\t\t\t<\/div>\n\t\t\t\t<\/div>\n\t\t\t\t\t<\/div>\n\t\t\t\t<\/div>\n\t\t
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Introduction<\/h2>\t\t\t\t<\/div>\n\t\t\t\t<\/div>\n\t\t\t\t
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In order to determine an appropriate amount of premium, statistical goodness-of-fit criteria must be supplemented with actuarial ones when assessing performance of a given candidate pure premium. In this paper, concentration curves and Lorenz curves are shown to provide actuaries with effective tools to evaluate whether a premium is appropriate or to compare two competing alternatives. The idea is to compare the premium income for sub-portfolios gathering low risks (identified as low by means of the premiums under consideration) to the true one, or equivalently, to the actual losses. Numerical illustrations performed on hypothetical data and real ones demonstrate the usefulness of the proposed approach.<\/p>\t\t\t\t\t\t\t\t<\/div>\n\t\t\t\t<\/div>\n\t\t

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Secteur : <\/b>Assurance<\/b><\/p>

Auteurs :<\/b> Dominic Sznajder,<\/p>

Michel Denuit, Julien Trufin<\/p>

\u00a0<\/p>

Publication : <\/b>Insurance Mathematics<\/p>

and Economics<\/p>

Date:<\/b> March 2019<\/p>

Langue :<\/b> Anglais<\/p>\t\t\t\t\t\t\t\t<\/div>\n\t\t\t\t<\/div>\n\t\t\t\t<\/div>\n\t\t\t\t<\/div>\n\t\t

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\u00c0 propos des auteurs<\/h2>\t\t\t\t<\/div>\n\t\t\t\t<\/div>\n\t\t\t\t\t<\/div>\n\t\t\t\t<\/div>\n\t\t
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\n\t\t\t\t\t\t\t\t\t\t\t\t\t\t\t\"Michel\t\t\t\t\t\t\t\t\t\t\t\t\t\t\t<\/div>\n\t\t\t\t<\/div>\n\t\t\t\t<\/div>\n\t\t
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Michel Denuit<\/h2>\t\t\t\t<\/div>\n\t\t\t\t<\/div>\n\t\t\t\t
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Michel est conseiller scientifique chez Detralytics, ainsi que professeur en sciences actuarielles \u00e0 l\u2019Universit\u00e9 catholique de Louvain. Il dispose d\u2019une exp\u00e9rience internationale en tant que professeur invit\u00e9 et a men\u00e9 de nombreux projets en collaboration avec l\u2019industrie. Chez Detralytics, Michel accompagne les jeunes talents, dispense des formations de pointe, stimule l\u2019innovation et supervise les projets de R&D.<\/p>\t\t\t\t\t\t\t\t<\/div>\n\t\t\t\t<\/div>\n\t\t\t\t<\/div>\n\t\t\t\t\t<\/div>\n\t\t\t\t<\/div>\n\t\t

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\n\t\t\t\t\t\t\t\t\t\t\t\t\t\t\t\"Julien\"\t\t\t\t\t\t\t\t\t\t\t\t\t\t\t<\/div>\n\t\t\t\t<\/div>\n\t\t\t\t<\/div>\n\t\t
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Julien Trufin<\/h2>\t\t\t\t<\/div>\n\t\t\t\t<\/div>\n\t\t\t\t
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Julien est Scientific Advisor chez Detralytics et Professeur en sciences actuarielles au sein du d\u00e9partement de math\u00e9matiques de l\u2019Universit\u00e9 Libre de Bruxelles. Il poss\u00e8de une exp\u00e9rience en tant que consultant et un solide parcours acad\u00e9mique d\u00e9velopp\u00e9 au sein d\u2019institutions de renom, dont l\u2019Universit\u00e9 Laval (Canada), l\u2019UCL et l\u2019ULB (Belgique). Chez Detralytics, Julien encadre les jeunes talents, dispense des formations de pointe, stimule l\u2019innovation et supervise les projets de R&D.<\/p>\t\t\t\t\t\t\t\t<\/div>\n\t\t\t\t<\/div>\n\t\t\t\t<\/div>\n\t\t\t\t\t<\/div>\n\t\t\t\t<\/div>\n\t\t

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Dominik Sznajder<\/h2>\t\t\t\t<\/div>\n\t\t\t\t<\/div>\n\t\t\t\t
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Dominik Sznajder obtained a master degree in Economics and in Mathematics at Warsaw University in 2007. Thereafter he completed a PhD programme at KU Leuven in the section of Mathematical Statistics in 2011. Dominik was a visiting lecturer at UGent in 2013 and an FWO post-doctoral researcher before transferring to business. He worked as an actuarial consultant with Milliman supporting insurance companies in the Benelux region. Currently he is a freelance Data Scientist, Actuarial & Financial Modeler, while also doing research at KU Leuven. Dominik has over 10 years of experience in using R, when he developed R based solutions both in Business and Academia.<\/p>\t\t\t\t\t\t\t\t<\/div>\n\t\t\t\t<\/div>\n\t\t\t\t<\/div>\n\t\t\t\t\t<\/div>\n\t\t\t\t<\/div>\n\t\t

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In this paper, concentration curves and Lorenz curves are shown to provide actuaries with effective tools to evaluate whether a premium is appropriate or to compare two competing alternatives. <\/p>","protected":false},"author":1,"featured_media":5342,"comment_status":"closed","ping_status":"closed","sticky":false,"template":"","format":"standard","meta":{"footnotes":""},"categories":[133],"tags":[],"class_list":["post-4432","post","type-post","status-publish","format-standard","has-post-thumbnail","hentry","category-publication"],"yoast_head":"\nDetra Note : Assessing the performance of pricing models<\/title>\n<meta name=\"description\" content=\"In this paper, concentration curves and Lorenz curves are shown to provide actuaries with effective tools to evaluate whether a premium is appropriate or to compare two competing alternatives.\" \/>\n<meta name=\"robots\" content=\"index, follow, max-snippet:-1, max-image-preview:large, max-video-preview:-1\" \/>\n<link rel=\"canonical\" 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