{"id":4138,"date":"2017-12-04T13:33:14","date_gmt":"2017-12-04T13:33:14","guid":{"rendered":"https:\/\/detralytics.com\/?p=4138"},"modified":"2026-06-22T14:20:25","modified_gmt":"2026-06-22T14:20:25","slug":"quand-thiele-et-cantelli-aident-lactuaire-a-sortir-de-sa-reserve","status":"publish","type":"post","link":"https:\/\/detralytics.com\/en\/publications\/quand-thiele-et-cantelli-aident-lactuaire-a-sortir-de-sa-reserve\/","title":{"rendered":"Quand Thiele et Cantelli aident l’actuaire \u00e0 sortir de sa r\u00e9serve…"},"content":{"rendered":"\t\t
\n\t\t\t\t
\n\t\t\t\t\t
\n\t\t\t\t
\n\t\t\t\n\t\n<\/svg>\t\t<\/div>\n\t\t\t\t
\n\t\t\t\t
\n\t\t\t\t\t

Quand Thiele et Cantelli aident l\u2019actuaire \u00e0 sortir de sa r\u00e9serve\u2026<\/h1>\t\t\t\t<\/div>\n\t\t\t\t<\/div>\n\t\t\t\t
\n\t\t\t\t
\n\t\t\t\t\t

DetraNote 2017-2<\/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
\n\t\t\t\t\t
\n\t\t
\n\t\t\t\t
\n\t\t\t\t
\n\t\t\t\t\t\t\t\t\t\t\t\t\t\t\t\t\n\t\t\t\t\t\t\t\"\"\t\t\t\t\t\t\t\t<\/a>\n\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
\n\t\t\t\t
\n\t\t\t\t\t\t\t\t\t
\n\t\t\t\t\t\n\t\t\t\t\t\t\n\t\t\t\t\t\t\n\t\t\t\t<\/path><\/svg>\t\t\t<\/span>\n\t\t\t\t\t\t\t\t\tDownload<\/span>\n\t\t\t\t\t<\/span>\n\t\t\t\t\t<\/a>\n\t\t\t\t<\/div>\n\t\t\t\t\t\t\t\t<\/div>\n\t\t\t\t<\/div>\n\t\t\t\t<\/div>\n\t\t
\n\t\t\t\t
\n\t\t\t\t
\n\t\t\t\t\t

Abstract<\/h2>\t\t\t\t<\/div>\n\t\t\t\t<\/div>\n\t\t\t\t
\n\t\t\t\t
\n\t\t\t\t\t\t\t\t\t

Lorsque certaines prestations de l\u2019assureur font intervenir les r\u00e9serves du contrat, l\u2019application directe du principe d\u2019\u00e9quivalence ne permet g\u00e9n\u00e9ralement plus d\u2019en d\u00e9terminer les primes. Cette note d\u00e9taille la mani\u00e8re de mener \u00e0 bien les calculs actuariels en pareil cas, \u00e0 l\u2019aide de l\u2019\u00e9quation de Thiele et du th\u00e9or\u00e8me de Cantelli. La m\u00e9thode consiste \u00e0 associer au contrat consid\u00e9r\u00e9 un contrat fictif sans ce type de prestations, et d\u2019invoquer le principe d\u2019\u00e9quivalence. Dans certains cas, cette approche simple et \u00e9l\u00e9gante ne s\u2019applique malheureusement pas. Une solution efficace consiste alors \u00e0 recourir \u00e0 un sch\u00e9ma d\u2019Euler afin de r\u00e9soudre num\u00e9riquement l\u2019\u00e9quation de Thiele et d\u2019en d\u00e9duire les primes et les r\u00e9serves. Cette approche num\u00e9rique permet d\u2019ailleurs d\u2019obtenir les primes et les r\u00e9serves en fonction des prestations pr\u00e9vues dans le contrat, s\u2019av\u00e9rant souvent suffisantes pour les besoins de la pratique. Les techniques utilis\u00e9es dans cette note sont illustr\u00e9es \u00e0 l\u2019aide de plusieurs exemples. L\u2019annexe r\u00e9sume bri\u00e8vement les \u00e9l\u00e9ments principaux de th\u00e9orie actuarielle relatifs au probl\u00e8me consid\u00e9r\u00e9.<\/p>\t\t\t\t\t\t\t\t<\/div>\n\t\t\t\t<\/div>\n\t\t

\n\t\t\t\t
\n\t\t\t\t
\n\t\t\t\t\t\t\t\t\t

Sector: <\/b>Insurance<\/p>

<\/b>Expertise: <\/b>Life Insurance<\/p>

Authors:<\/b> Gireg Willame,<\/p>

Michel Denuit et<\/p>

Julien Trufin<\/p>

Publisher:<\/b> Detralytics<\/p>

Date:<\/b> December 2017<\/p>

Language:<\/b> French<\/p>

Pages:<\/b> 44<\/p>

Reference :<\/b> Detra Note 2017-2<\/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\t\t\t<\/div>\n\t\t\t\t<\/div>\n\t\t

\n\t\t\t\t\t
\n\t\t\t\t
\n\t\t\t\t
\n\t\t\t\t\t\t\t
\n\t\t\t
<\/div>\n\t\t<\/div>\n\t\t\t\t\t\t<\/div>\n\t\t\t\t<\/div>\n\t\t\t\t
\n\t\t\t\t
\n\t\t\t\t\t

About the authors<\/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
\n\t\t\t\t\t
\n\t\t
\n\t\t\t\t
\n\t\t\t\t
\n\t\t\t\t\t\t\t\t\t\t\t\t\t\t\t\"\"\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
\n\t\t\t\t
\n\t\t\t\t
\n\t\t\t\t\t

Gireg Willame<\/h2>\t\t\t\t<\/div>\n\t\t\t\t<\/div>\n\t\t\t\t
\n\t\t\t\t
\n\t\t\t\t\t\t\t\t\t

Gireg is an Expert and Domain Lead Non-Life at Detralytics. During his various missions, Gireg has worked on the automation of the taxation scheme for pensions saving; on P&C pricing with Bank datas (genetic algorithm); on P&C reserving and IFRS17, among others. Prior to joining Detralytics, Gireg worked as an intern at AG Insurance.\u00a0<\/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

\n\t\t\t\t\t
\n\t\t
\n\t\t\t\t
\n\t\t\t\t
\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
\n\t\t\t\t
\n\t\t\t\t
\n\t\t\t\t\t

Michel Denuit<\/h2>\t\t\t\t<\/div>\n\t\t\t\t<\/div>\n\t\t\t\t
\n\t\t\t\t
\n\t\t\t\t\t\t\t\t\t

Michel is a Scientific Advisor at Detralytics, as well as a professor in actuarial science at the Universit\u00e9 Catholique de Louvain. He has international experience as a visiting professor, and has promoted many projects in collaboration with the industry. At Detralytics, Michel coaches young talents, provides cutting-edge training, fosters innovation and oversees R&D projects.<\/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

\n\t\t\t\t\t
\n\t\t
\n\t\t\t\t
\n\t\t\t\t
\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
\n\t\t\t\t
\n\t\t\t\t
\n\t\t\t\t\t

Julien Trufin<\/h2>\t\t\t\t<\/div>\n\t\t\t\t<\/div>\n\t\t\t\t
\n\t\t\t\t
\n\t\t\t\t\t\t\t\t\t

Julien is a Scientific Advisor at Detralytics, as well as a professor in Actuarial Science at the department of mathematics of the Universit\u00e9 Libre de Bruxelles. Julien has experience as a consultant and a strong academic background developed at prominent institutions, including Universit\u00e9 Laval (Canada), UCL, and ULB (Belgium). At Detralytics, Julien coaches young talents, provide cutting-edge training, fosters innovation and oversees R&D projects.<\/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

\n\t\t\t\t\t
\n\t\t\t\t
\n\t\t\t\t
\n\t\t\t\t\t\t\t\t\t
\n\t\t\t\t\t\n\t\t\t\t\t\t\n\t\t\t\t\t\t\n\t\t\t\t<\/path><\/svg>\t\t\t<\/span>\n\t\t\t\t\t\t\t\t\tAll Publications<\/span>\n\t\t\t\t\t<\/span>\n\t\t\t\t\t<\/a>\n\t\t\t\t<\/div>\n\t\t\t\t\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\t\t<\/div>\n\t\t","protected":false},"excerpt":{"rendered":"

Cette note d\u00e9taille la mani\u00e8re de mener \u00e0 bien les calculs actuariels \u00e0 l\u2019aide de l\u2019\u00e9quation de Thiele et du th\u00e9or\u00e8me de Cantelli. <\/p>\n","protected":false},"author":1,"featured_media":4143,"comment_status":"closed","ping_status":"open","sticky":false,"template":"","format":"standard","meta":{"footnotes":""},"categories":[141,133],"tags":[131],"class_list":["post-4138","post","type-post","status-publish","format-standard","has-post-thumbnail","hentry","category-141","category-publications","tag-detranote"],"yoast_head":"\nDetra Note : Quand Thiele et Cantelli aident l'actuaire \u00e0 sortir de sa r\u00e9serve<\/title>\n<meta name=\"description\" content=\"Cette note d\u00e9taille la mani\u00e8re de mener \u00e0 bien les calculs actuariels \u00e0 l\u2019aide de l\u2019\u00e9quation de Thiele et du th\u00e9or\u00e8me de Cantelli.\" \/>\n<meta name=\"robots\" content=\"index, follow, max-snippet:-1, max-image-preview:large, max-video-preview:-1\" \/>\n<link rel=\"canonical\" href=\"https:\/\/detralytics.com\/en\/publications\/quand-thiele-et-cantelli-aident-lactuaire-a-sortir-de-sa-reserve\/\" \/>\n<meta property=\"og:locale\" content=\"en_GB\" \/>\n<meta property=\"og:type\" content=\"article\" \/>\n<meta property=\"og:title\" content=\"Detra Note : Quand Thiele et Cantelli aident l'actuaire \u00e0 sortir de sa r\u00e9serve\" \/>\n<meta property=\"og:description\" content=\"Cette note d\u00e9taille la mani\u00e8re de mener \u00e0 bien les calculs actuariels \u00e0 l\u2019aide de l\u2019\u00e9quation de Thiele et du th\u00e9or\u00e8me de Cantelli.\" \/>\n<meta property=\"og:url\" content=\"https:\/\/detralytics.com\/en\/publications\/quand-thiele-et-cantelli-aident-lactuaire-a-sortir-de-sa-reserve\/\" \/>\n<meta property=\"og:site_name\" content=\"detralytics.com\" \/>\n<meta property=\"article:published_time\" content=\"2017-12-04T13:33:14+00:00\" \/>\n<meta property=\"article:modified_time\" content=\"2026-06-22T14:20:25+00:00\" \/>\n<meta property=\"og:image\" content=\"https:\/\/detralytics.com\/wp-content\/uploads\/2017\/12\/Miniature-Quand-Thiele-et-cantelli-aident-lactuaire-a-sortir-de-sa-reserve.png\" \/>\n\t<meta property=\"og:image:width\" content=\"958\" \/>\n\t<meta property=\"og:image:height\" content=\"1352\" \/>\n\t<meta property=\"og:image:type\" content=\"image\/png\" \/>\n<meta name=\"author\" content=\"Detralytics\" \/>\n<meta name=\"twitter:card\" content=\"summary_large_image\" \/>\n<meta name=\"twitter:label1\" content=\"Written by\" \/>\n\t<meta name=\"twitter:data1\" content=\"Detralytics\" \/>\n\t<meta name=\"twitter:label2\" content=\"Estimated reading time\" \/>\n\t<meta name=\"twitter:data2\" content=\"3 minutes\" \/>\n<script type=\"application\/ld+json\" class=\"yoast-schema-graph\">{\"@context\":\"https:\\\/\\\/schema.org\",\"@graph\":[{\"@type\":\"Article\",\"@id\":\"https:\\\/\\\/detralytics.com\\\/publications\\\/quand-thiele-et-cantelli-aident-lactuaire-a-sortir-de-sa-reserve\\\/#article\",\"isPartOf\":{\"@id\":\"https:\\\/\\\/detralytics.com\\\/publications\\\/quand-thiele-et-cantelli-aident-lactuaire-a-sortir-de-sa-reserve\\\/\"},\"author\":{\"name\":\"Detralytics\",\"@id\":\"https:\\\/\\\/detralytics.com\\\/#\\\/schema\\\/person\\\/afceedbd1f9efae3aff3db243bb1890d\"},\"headline\":\"Quand Thiele et Cantelli aident l’actuaire \u00e0 sortir de sa r\u00e9serve…\",\"datePublished\":\"2017-12-04T13:33:14+00:00\",\"dateModified\":\"2026-06-22T14:20:25+00:00\",\"mainEntityOfPage\":{\"@id\":\"https:\\\/\\\/detralytics.com\\\/publications\\\/quand-thiele-et-cantelli-aident-lactuaire-a-sortir-de-sa-reserve\\\/\"},\"wordCount\":445,\"publisher\":{\"@id\":\"https:\\\/\\\/detralytics.com\\\/#organization\"},\"image\":{\"@id\":\"https:\\\/\\\/detralytics.com\\\/publications\\\/quand-thiele-et-cantelli-aident-lactuaire-a-sortir-de-sa-reserve\\\/#primaryimage\"},\"thumbnailUrl\":\"https:\\\/\\\/detralytics.com\\\/wp-content\\\/uploads\\\/2017\\\/12\\\/Miniature-Quand-Thiele-et-cantelli-aident-lactuaire-a-sortir-de-sa-reserve.png\",\"keywords\":[\"Detra Note\"],\"articleSection\":[\"2017\",\"Publications\"],\"inLanguage\":\"en-GB\"},{\"@type\":\"WebPage\",\"@id\":\"https:\\\/\\\/detralytics.com\\\/publications\\\/quand-thiele-et-cantelli-aident-lactuaire-a-sortir-de-sa-reserve\\\/\",\"url\":\"https:\\\/\\\/detralytics.com\\\/publications\\\/quand-thiele-et-cantelli-aident-lactuaire-a-sortir-de-sa-reserve\\\/\",\"name\":\"Detra Note : Quand Thiele et Cantelli aident l'actuaire \u00e0 sortir de sa r\u00e9serve\",\"isPartOf\":{\"@id\":\"https:\\\/\\\/detralytics.com\\\/#website\"},\"primaryImageOfPage\":{\"@id\":\"https:\\\/\\\/detralytics.com\\\/publications\\\/quand-thiele-et-cantelli-aident-lactuaire-a-sortir-de-sa-reserve\\\/#primaryimage\"},\"image\":{\"@id\":\"https:\\\/\\\/detralytics.com\\\/publications\\\/quand-thiele-et-cantelli-aident-lactuaire-a-sortir-de-sa-reserve\\\/#primaryimage\"},\"thumbnailUrl\":\"https:\\\/\\\/detralytics.com\\\/wp-content\\\/uploads\\\/2017\\\/12\\\/Miniature-Quand-Thiele-et-cantelli-aident-lactuaire-a-sortir-de-sa-reserve.png\",\"datePublished\":\"2017-12-04T13:33:14+00:00\",\"dateModified\":\"2026-06-22T14:20:25+00:00\",\"description\":\"Cette note d\u00e9taille la mani\u00e8re de mener \u00e0 bien les calculs actuariels \u00e0 l\u2019aide de l\u2019\u00e9quation de Thiele et du th\u00e9or\u00e8me de Cantelli.\",\"breadcrumb\":{\"@id\":\"https:\\\/\\\/detralytics.com\\\/publications\\\/quand-thiele-et-cantelli-aident-lactuaire-a-sortir-de-sa-reserve\\\/#breadcrumb\"},\"inLanguage\":\"en-GB\",\"potentialAction\":[{\"@type\":\"ReadAction\",\"target\":[\"https:\\\/\\\/detralytics.com\\\/publications\\\/quand-thiele-et-cantelli-aident-lactuaire-a-sortir-de-sa-reserve\\\/\"]}]},{\"@type\":\"ImageObject\",\"inLanguage\":\"en-GB\",\"@id\":\"https:\\\/\\\/detralytics.com\\\/publications\\\/quand-thiele-et-cantelli-aident-lactuaire-a-sortir-de-sa-reserve\\\/#primaryimage\",\"url\":\"https:\\\/\\\/detralytics.com\\\/wp-content\\\/uploads\\\/2017\\\/12\\\/Miniature-Quand-Thiele-et-cantelli-aident-lactuaire-a-sortir-de-sa-reserve.png\",\"contentUrl\":\"https:\\\/\\\/detralytics.com\\\/wp-content\\\/uploads\\\/2017\\\/12\\\/Miniature-Quand-Thiele-et-cantelli-aident-lactuaire-a-sortir-de-sa-reserve.png\",\"width\":958,\"height\":1352},{\"@type\":\"BreadcrumbList\",\"@id\":\"https:\\\/\\\/detralytics.com\\\/publications\\\/quand-thiele-et-cantelli-aident-lactuaire-a-sortir-de-sa-reserve\\\/#breadcrumb\",\"itemListElement\":[{\"@type\":\"ListItem\",\"position\":1,\"name\":\"Home\",\"item\":\"https:\\\/\\\/detralytics.com\\\/en\\\/\"},{\"@type\":\"ListItem\",\"position\":2,\"name\":\"Quand Thiele et Cantelli aident l’actuaire \u00e0 sortir de sa r\u00e9serve…\"}]},{\"@type\":\"WebSite\",\"@id\":\"https:\\\/\\\/detralytics.com\\\/#website\",\"url\":\"https:\\\/\\\/detralytics.com\\\/\",\"name\":\"detralytics.com\",\"description\":\"People Drive Actuarial Innovation\",\"publisher\":{\"@id\":\"https:\\\/\\\/detralytics.com\\\/#organization\"},\"potentialAction\":[{\"@type\":\"SearchAction\",\"target\":{\"@type\":\"EntryPoint\",\"urlTemplate\":\"https:\\\/\\\/detralytics.com\\\/?s={search_term_string}\"},\"query-input\":{\"@type\":\"PropertyValueSpecification\",\"valueRequired\":true,\"valueName\":\"search_term_string\"}}],\"inLanguage\":\"en-GB\"},{\"@type\":\"Organization\",\"@id\":\"https:\\\/\\\/detralytics.com\\\/#organization\",\"name\":\"Detralytics\",\"url\":\"https:\\\/\\\/detralytics.com\\\/\",\"logo\":{\"@type\":\"ImageObject\",\"inLanguage\":\"en-GB\",\"@id\":\"https:\\\/\\\/detralytics.com\\\/#\\\/schema\\\/logo\\\/image\\\/\",\"url\":\"https:\\\/\\\/detralytics.com\\\/wp-content\\\/uploads\\\/2020\\\/04\\\/NEW-logo-detra.png\",\"contentUrl\":\"https:\\\/\\\/detralytics.com\\\/wp-content\\\/uploads\\\/2020\\\/04\\\/NEW-logo-detra.png\",\"width\":9329,\"height\":2348,\"caption\":\"Detralytics\"},\"image\":{\"@id\":\"https:\\\/\\\/detralytics.com\\\/#\\\/schema\\\/logo\\\/image\\\/\"},\"sameAs\":[\"https:\\\/\\\/www.linkedin.com\\\/company\\\/18195267\\\/\"]},{\"@type\":\"Person\",\"@id\":\"https:\\\/\\\/detralytics.com\\\/#\\\/schema\\\/person\\\/afceedbd1f9efae3aff3db243bb1890d\",\"name\":\"Detralytics\",\"url\":\"https:\\\/\\\/detralytics.com\\\/en\\\/author\\\/admin\\\/\"}]}<\/script>\n<!-- \/ Yoast SEO plugin. -->","yoast_head_json":{"title":"Detra Note : Quand Thiele et Cantelli aident l'actuaire \u00e0 sortir de sa r\u00e9serve","description":"Cette note d\u00e9taille la mani\u00e8re de mener \u00e0 bien les calculs actuariels \u00e0 l\u2019aide de l\u2019\u00e9quation de Thiele et du th\u00e9or\u00e8me de Cantelli.","robots":{"index":"index","follow":"follow","max-snippet":"max-snippet:-1","max-image-preview":"max-image-preview:large","max-video-preview":"max-video-preview:-1"},"canonical":"https:\/\/detralytics.com\/en\/publications\/quand-thiele-et-cantelli-aident-lactuaire-a-sortir-de-sa-reserve\/","og_locale":"en_GB","og_type":"article","og_title":"Detra Note : Quand Thiele et Cantelli aident l'actuaire \u00e0 sortir de sa r\u00e9serve","og_description":"Cette note d\u00e9taille la mani\u00e8re de mener \u00e0 bien les calculs actuariels \u00e0 l\u2019aide de l\u2019\u00e9quation de Thiele et du th\u00e9or\u00e8me de Cantelli.","og_url":"https:\/\/detralytics.com\/en\/publications\/quand-thiele-et-cantelli-aident-lactuaire-a-sortir-de-sa-reserve\/","og_site_name":"detralytics.com","article_published_time":"2017-12-04T13:33:14+00:00","article_modified_time":"2026-06-22T14:20:25+00:00","og_image":[{"width":958,"height":1352,"url":"https:\/\/detralytics.com\/wp-content\/uploads\/2017\/12\/Miniature-Quand-Thiele-et-cantelli-aident-lactuaire-a-sortir-de-sa-reserve.png","type":"image\/png"}],"author":"Detralytics","twitter_card":"summary_large_image","twitter_misc":{"Written by":"Detralytics","Estimated reading time":"3 minutes"},"schema":{"@context":"https:\/\/schema.org","@graph":[{"@type":"Article","@id":"https:\/\/detralytics.com\/publications\/quand-thiele-et-cantelli-aident-lactuaire-a-sortir-de-sa-reserve\/#article","isPartOf":{"@id":"https:\/\/detralytics.com\/publications\/quand-thiele-et-cantelli-aident-lactuaire-a-sortir-de-sa-reserve\/"},"author":{"name":"Detralytics","@id":"https:\/\/detralytics.com\/#\/schema\/person\/afceedbd1f9efae3aff3db243bb1890d"},"headline":"Quand Thiele et Cantelli aident l’actuaire \u00e0 sortir de sa r\u00e9serve…","datePublished":"2017-12-04T13:33:14+00:00","dateModified":"2026-06-22T14:20:25+00:00","mainEntityOfPage":{"@id":"https:\/\/detralytics.com\/publications\/quand-thiele-et-cantelli-aident-lactuaire-a-sortir-de-sa-reserve\/"},"wordCount":445,"publisher":{"@id":"https:\/\/detralytics.com\/#organization"},"image":{"@id":"https:\/\/detralytics.com\/publications\/quand-thiele-et-cantelli-aident-lactuaire-a-sortir-de-sa-reserve\/#primaryimage"},"thumbnailUrl":"https:\/\/detralytics.com\/wp-content\/uploads\/2017\/12\/Miniature-Quand-Thiele-et-cantelli-aident-lactuaire-a-sortir-de-sa-reserve.png","keywords":["Detra Note"],"articleSection":["2017","Publications"],"inLanguage":"en-GB"},{"@type":"WebPage","@id":"https:\/\/detralytics.com\/publications\/quand-thiele-et-cantelli-aident-lactuaire-a-sortir-de-sa-reserve\/","url":"https:\/\/detralytics.com\/publications\/quand-thiele-et-cantelli-aident-lactuaire-a-sortir-de-sa-reserve\/","name":"Detra Note : Quand Thiele et Cantelli aident l'actuaire \u00e0 sortir de sa r\u00e9serve","isPartOf":{"@id":"https:\/\/detralytics.com\/#website"},"primaryImageOfPage":{"@id":"https:\/\/detralytics.com\/publications\/quand-thiele-et-cantelli-aident-lactuaire-a-sortir-de-sa-reserve\/#primaryimage"},"image":{"@id":"https:\/\/detralytics.com\/publications\/quand-thiele-et-cantelli-aident-lactuaire-a-sortir-de-sa-reserve\/#primaryimage"},"thumbnailUrl":"https:\/\/detralytics.com\/wp-content\/uploads\/2017\/12\/Miniature-Quand-Thiele-et-cantelli-aident-lactuaire-a-sortir-de-sa-reserve.png","datePublished":"2017-12-04T13:33:14+00:00","dateModified":"2026-06-22T14:20:25+00:00","description":"Cette note d\u00e9taille la mani\u00e8re de mener \u00e0 bien les calculs actuariels \u00e0 l\u2019aide de l\u2019\u00e9quation de Thiele et du th\u00e9or\u00e8me de Cantelli.","breadcrumb":{"@id":"https:\/\/detralytics.com\/publications\/quand-thiele-et-cantelli-aident-lactuaire-a-sortir-de-sa-reserve\/#breadcrumb"},"inLanguage":"en-GB","potentialAction":[{"@type":"ReadAction","target":["https:\/\/detralytics.com\/publications\/quand-thiele-et-cantelli-aident-lactuaire-a-sortir-de-sa-reserve\/"]}]},{"@type":"ImageObject","inLanguage":"en-GB","@id":"https:\/\/detralytics.com\/publications\/quand-thiele-et-cantelli-aident-lactuaire-a-sortir-de-sa-reserve\/#primaryimage","url":"https:\/\/detralytics.com\/wp-content\/uploads\/2017\/12\/Miniature-Quand-Thiele-et-cantelli-aident-lactuaire-a-sortir-de-sa-reserve.png","contentUrl":"https:\/\/detralytics.com\/wp-content\/uploads\/2017\/12\/Miniature-Quand-Thiele-et-cantelli-aident-lactuaire-a-sortir-de-sa-reserve.png","width":958,"height":1352},{"@type":"BreadcrumbList","@id":"https:\/\/detralytics.com\/publications\/quand-thiele-et-cantelli-aident-lactuaire-a-sortir-de-sa-reserve\/#breadcrumb","itemListElement":[{"@type":"ListItem","position":1,"name":"Home","item":"https:\/\/detralytics.com\/en\/"},{"@type":"ListItem","position":2,"name":"Quand Thiele et Cantelli aident l’actuaire \u00e0 sortir de sa r\u00e9serve…"}]},{"@type":"WebSite","@id":"https:\/\/detralytics.com\/#website","url":"https:\/\/detralytics.com\/","name":"detralytics.com","description":"People Drive Actuarial Innovation","publisher":{"@id":"https:\/\/detralytics.com\/#organization"},"potentialAction":[{"@type":"SearchAction","target":{"@type":"EntryPoint","urlTemplate":"https:\/\/detralytics.com\/?s={search_term_string}"},"query-input":{"@type":"PropertyValueSpecification","valueRequired":true,"valueName":"search_term_string"}}],"inLanguage":"en-GB"},{"@type":"Organization","@id":"https:\/\/detralytics.com\/#organization","name":"Detralytics","url":"https:\/\/detralytics.com\/","logo":{"@type":"ImageObject","inLanguage":"en-GB","@id":"https:\/\/detralytics.com\/#\/schema\/logo\/image\/","url":"https:\/\/detralytics.com\/wp-content\/uploads\/2020\/04\/NEW-logo-detra.png","contentUrl":"https:\/\/detralytics.com\/wp-content\/uploads\/2020\/04\/NEW-logo-detra.png","width":9329,"height":2348,"caption":"Detralytics"},"image":{"@id":"https:\/\/detralytics.com\/#\/schema\/logo\/image\/"},"sameAs":["https:\/\/www.linkedin.com\/company\/18195267\/"]},{"@type":"Person","@id":"https:\/\/detralytics.com\/#\/schema\/person\/afceedbd1f9efae3aff3db243bb1890d","name":"Detralytics","url":"https:\/\/detralytics.com\/en\/author\/admin\/"}]}},"_links":{"self":[{"href":"https:\/\/detralytics.com\/en\/wp-json\/wp\/v2\/posts\/4138","targetHints":{"allow":["GET"]}}],"collection":[{"href":"https:\/\/detralytics.com\/en\/wp-json\/wp\/v2\/posts"}],"about":[{"href":"https:\/\/detralytics.com\/en\/wp-json\/wp\/v2\/types\/post"}],"author":[{"embeddable":true,"href":"https:\/\/detralytics.com\/en\/wp-json\/wp\/v2\/users\/1"}],"replies":[{"embeddable":true,"href":"https:\/\/detralytics.com\/en\/wp-json\/wp\/v2\/comments?post=4138"}],"version-history":[{"count":6,"href":"https:\/\/detralytics.com\/en\/wp-json\/wp\/v2\/posts\/4138\/revisions"}],"predecessor-version":[{"id":7745,"href":"https:\/\/detralytics.com\/en\/wp-json\/wp\/v2\/posts\/4138\/revisions\/7745"}],"wp:featuredmedia":[{"embeddable":true,"href":"https:\/\/detralytics.com\/en\/wp-json\/wp\/v2\/media\/4143"}],"wp:attachment":[{"href":"https:\/\/detralytics.com\/en\/wp-json\/wp\/v2\/media?parent=4138"}],"wp:term":[{"taxonomy":"category","embeddable":true,"href":"https:\/\/detralytics.com\/en\/wp-json\/wp\/v2\/categories?post=4138"},{"taxonomy":"post_tag","embeddable":true,"href":"https:\/\/detralytics.com\/en\/wp-json\/wp\/v2\/tags?post=4138"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}