Analysis of heterogeneous endowment policies portfolios under fractional approximations
In this paper we consider heterogeneous portfolios of endowment insurance policies with a 12 months maturation time. We apply majorization order, Schur functions, and fractional approximations to study the effects of statistical heterogeneity on the premium, on the death benefit and on the survival...
Gespeichert in:
| Veröffentlicht in: | Insurance, mathematics & economics mathematics & economics, 2003-12, Vol.33 (3), p.567-584 |
|---|---|
| Hauptverfasser: | , , |
| Format: | Artikel |
| Sprache: | eng |
| Schlagworte: | |
| Online-Zugang: | Volltext |
| Tags: |
Tag hinzufügen
Keine Tags, Fügen Sie den ersten Tag hinzu!
|
| container_end_page | 584 |
|---|---|
| container_issue | 3 |
| container_start_page | 567 |
| container_title | Insurance, mathematics & economics |
| container_volume | 33 |
| creator | Dahan, Merav Frostig, Esther Langberg, Naftali A. |
| description | In this paper we consider heterogeneous portfolios of endowment insurance policies with a 12 months maturation time. We apply majorization order, Schur functions, and fractional approximations to study the effects of statistical heterogeneity on the premium, on the death benefit and on the survival benefit of the endowment contract. We obtain upper and lower bounds for the premium and the benefits, and under the power approximation we derive some monotone properties of the premium and the benefits. |
| doi_str_mv | 10.1016/j.insmatheco.2003.08.001 |
| format | Article |
| fullrecord | <record><control><sourceid>proquest_cross</sourceid><recordid>TN_cdi_proquest_miscellaneous_37920170</recordid><sourceformat>XML</sourceformat><sourcesystem>PC</sourcesystem><els_id>S0167668703001756</els_id><sourcerecordid>768780541</sourcerecordid><originalsourceid>FETCH-LOGICAL-c472t-2af8922c07c1a261051a5d5a70aeab367782457426a9296396452080c85588853</originalsourceid><addsrcrecordid>eNqFUE1P3DAQtaoidQv9D1EP3BL8EX_kCKgfVEhcWnG0XGfS9SqJg-1Q9t8zy1ZU6qWHZ89Y7z3PPEIqRhtGmbrYNWHOkytb8LHhlIqGmoZS9oZsmNGilp3s3pINUnWtlNHvyPucdxQZndIbcn85u3GfQ67iUG2hQIq_YIa45grmPv6eYC7VEsfgA2QsUhmwibla5x5SNSTnS4joUbllSfEp4CjY5zNyMrgxw4c_9yn58fnT9-uv9e3dl5vry9vat5qXmrvBdJx7qj1zXDEqmZO9dJo6cD-F0trwVuqWK9fxTolOtZJTQ72R0hgjxSk5P_ri5w8r5GKnkD2Mo3tZwgrdcco0ReLHf4i7uCYcPFs0ZFpJYZBkjiSfYs4JBrsk3CjtLaP2ELfd2b9x20PclhqLYaL021GaYAH_qgMAFKyTs49WOCHw2CNelMKFwxtiQUilrTSt3ZYJza6OZoDRPQZINmP-s4c-JPDF9jH8f6JnwO-nfA</addsrcrecordid><sourcetype>Aggregation Database</sourcetype><iscdi>true</iscdi><recordtype>article</recordtype><pqid>208176538</pqid></control><display><type>article</type><title>Analysis of heterogeneous endowment policies portfolios under fractional approximations</title><source>RePEc</source><source>ScienceDirect Journals (5 years ago - present)</source><creator>Dahan, Merav ; Frostig, Esther ; Langberg, Naftali A.</creator><creatorcontrib>Dahan, Merav ; Frostig, Esther ; Langberg, Naftali A.</creatorcontrib><description>In this paper we consider heterogeneous portfolios of endowment insurance policies with a 12 months maturation time. We apply majorization order, Schur functions, and fractional approximations to study the effects of statistical heterogeneity on the premium, on the death benefit and on the survival benefit of the endowment contract. We obtain upper and lower bounds for the premium and the benefits, and under the power approximation we derive some monotone properties of the premium and the benefits.</description><identifier>ISSN: 0167-6687</identifier><identifier>EISSN: 1873-5959</identifier><identifier>DOI: 10.1016/j.insmatheco.2003.08.001</identifier><identifier>CODEN: IMECDX</identifier><language>eng</language><publisher>Amsterdam: Elsevier B.V</publisher><subject>Approximation ; Bounds ; Economics ; Endowment ; Endowment insurance ; Insurance ; Insurance policies ; Linear mortality approximation ; Majorization ; Mathematical analysis ; Mathematical models ; Mathematics ; Monotonicity ; Portfolio management ; Power approximation ; Schur-convex and concave functions ; Studies</subject><ispartof>Insurance, mathematics & economics, 2003-12, Vol.33 (3), p.567-584</ispartof><rights>2003 Elsevier B.V.</rights><rights>Copyright Elsevier Sequoia S.A. Dec 19, 2003</rights><lds50>peer_reviewed</lds50><woscitedreferencessubscribed>false</woscitedreferencessubscribed><citedby>FETCH-LOGICAL-c472t-2af8922c07c1a261051a5d5a70aeab367782457426a9296396452080c85588853</citedby><cites>FETCH-LOGICAL-c472t-2af8922c07c1a261051a5d5a70aeab367782457426a9296396452080c85588853</cites></display><links><openurl>$$Topenurl_article</openurl><openurlfulltext>$$Topenurlfull_article</openurlfulltext><thumbnail>$$Tsyndetics_thumb_exl</thumbnail><linktohtml>$$Uhttps://www.sciencedirect.com/science/article/pii/S0167668703001756$$EHTML$$P50$$Gelsevier$$H</linktohtml><link.rule.ids>314,776,780,3537,3994,27901,27902,65306</link.rule.ids><backlink>$$Uhttp://econpapers.repec.org/article/eeeinsuma/v_3a33_3ay_3a2003_3ai_3a3_3ap_3a567-584.htm$$DView record in RePEc$$Hfree_for_read</backlink></links><search><creatorcontrib>Dahan, Merav</creatorcontrib><creatorcontrib>Frostig, Esther</creatorcontrib><creatorcontrib>Langberg, Naftali A.</creatorcontrib><title>Analysis of heterogeneous endowment policies portfolios under fractional approximations</title><title>Insurance, mathematics & economics</title><description>In this paper we consider heterogeneous portfolios of endowment insurance policies with a 12 months maturation time. We apply majorization order, Schur functions, and fractional approximations to study the effects of statistical heterogeneity on the premium, on the death benefit and on the survival benefit of the endowment contract. We obtain upper and lower bounds for the premium and the benefits, and under the power approximation we derive some monotone properties of the premium and the benefits.</description><subject>Approximation</subject><subject>Bounds</subject><subject>Economics</subject><subject>Endowment</subject><subject>Endowment insurance</subject><subject>Insurance</subject><subject>Insurance policies</subject><subject>Linear mortality approximation</subject><subject>Majorization</subject><subject>Mathematical analysis</subject><subject>Mathematical models</subject><subject>Mathematics</subject><subject>Monotonicity</subject><subject>Portfolio management</subject><subject>Power approximation</subject><subject>Schur-convex and concave functions</subject><subject>Studies</subject><issn>0167-6687</issn><issn>1873-5959</issn><fulltext>true</fulltext><rsrctype>article</rsrctype><creationdate>2003</creationdate><recordtype>article</recordtype><sourceid>X2L</sourceid><recordid>eNqFUE1P3DAQtaoidQv9D1EP3BL8EX_kCKgfVEhcWnG0XGfS9SqJg-1Q9t8zy1ZU6qWHZ89Y7z3PPEIqRhtGmbrYNWHOkytb8LHhlIqGmoZS9oZsmNGilp3s3pINUnWtlNHvyPucdxQZndIbcn85u3GfQ67iUG2hQIq_YIa45grmPv6eYC7VEsfgA2QsUhmwibla5x5SNSTnS4joUbllSfEp4CjY5zNyMrgxw4c_9yn58fnT9-uv9e3dl5vry9vat5qXmrvBdJx7qj1zXDEqmZO9dJo6cD-F0trwVuqWK9fxTolOtZJTQ72R0hgjxSk5P_ri5w8r5GKnkD2Mo3tZwgrdcco0ReLHf4i7uCYcPFs0ZFpJYZBkjiSfYs4JBrsk3CjtLaP2ELfd2b9x20PclhqLYaL021GaYAH_qgMAFKyTs49WOCHw2CNelMKFwxtiQUilrTSt3ZYJza6OZoDRPQZINmP-s4c-JPDF9jH8f6JnwO-nfA</recordid><startdate>20031219</startdate><enddate>20031219</enddate><creator>Dahan, Merav</creator><creator>Frostig, Esther</creator><creator>Langberg, Naftali A.</creator><general>Elsevier B.V</general><general>Elsevier</general><general>Elsevier Sequoia S.A</general><scope>DKI</scope><scope>X2L</scope><scope>AAYXX</scope><scope>CITATION</scope><scope>8BJ</scope><scope>FQK</scope><scope>JBE</scope><scope>JQ2</scope></search><sort><creationdate>20031219</creationdate><title>Analysis of heterogeneous endowment policies portfolios under fractional approximations</title><author>Dahan, Merav ; Frostig, Esther ; Langberg, Naftali A.</author></sort><facets><frbrtype>5</frbrtype><frbrgroupid>cdi_FETCH-LOGICAL-c472t-2af8922c07c1a261051a5d5a70aeab367782457426a9296396452080c85588853</frbrgroupid><rsrctype>articles</rsrctype><prefilter>articles</prefilter><language>eng</language><creationdate>2003</creationdate><topic>Approximation</topic><topic>Bounds</topic><topic>Economics</topic><topic>Endowment</topic><topic>Endowment insurance</topic><topic>Insurance</topic><topic>Insurance policies</topic><topic>Linear mortality approximation</topic><topic>Majorization</topic><topic>Mathematical analysis</topic><topic>Mathematical models</topic><topic>Mathematics</topic><topic>Monotonicity</topic><topic>Portfolio management</topic><topic>Power approximation</topic><topic>Schur-convex and concave functions</topic><topic>Studies</topic><toplevel>peer_reviewed</toplevel><toplevel>online_resources</toplevel><creatorcontrib>Dahan, Merav</creatorcontrib><creatorcontrib>Frostig, Esther</creatorcontrib><creatorcontrib>Langberg, Naftali A.</creatorcontrib><collection>RePEc IDEAS</collection><collection>RePEc</collection><collection>CrossRef</collection><collection>International Bibliography of the Social Sciences (IBSS)</collection><collection>International Bibliography of the Social Sciences</collection><collection>International Bibliography of the Social Sciences</collection><collection>ProQuest Computer Science Collection</collection><jtitle>Insurance, mathematics & economics</jtitle></facets><delivery><delcategory>Remote Search Resource</delcategory><fulltext>fulltext</fulltext></delivery><addata><au>Dahan, Merav</au><au>Frostig, Esther</au><au>Langberg, Naftali A.</au><format>journal</format><genre>article</genre><ristype>JOUR</ristype><atitle>Analysis of heterogeneous endowment policies portfolios under fractional approximations</atitle><jtitle>Insurance, mathematics & economics</jtitle><date>2003-12-19</date><risdate>2003</risdate><volume>33</volume><issue>3</issue><spage>567</spage><epage>584</epage><pages>567-584</pages><issn>0167-6687</issn><eissn>1873-5959</eissn><coden>IMECDX</coden><abstract>In this paper we consider heterogeneous portfolios of endowment insurance policies with a 12 months maturation time. We apply majorization order, Schur functions, and fractional approximations to study the effects of statistical heterogeneity on the premium, on the death benefit and on the survival benefit of the endowment contract. We obtain upper and lower bounds for the premium and the benefits, and under the power approximation we derive some monotone properties of the premium and the benefits.</abstract><cop>Amsterdam</cop><pub>Elsevier B.V</pub><doi>10.1016/j.insmatheco.2003.08.001</doi><tpages>18</tpages></addata></record> |
| fulltext | fulltext |
| identifier | ISSN: 0167-6687 |
| ispartof | Insurance, mathematics & economics, 2003-12, Vol.33 (3), p.567-584 |
| issn | 0167-6687 1873-5959 |
| language | eng |
| recordid | cdi_proquest_miscellaneous_37920170 |
| source | RePEc; ScienceDirect Journals (5 years ago - present) |
| subjects | Approximation Bounds Economics Endowment Endowment insurance Insurance Insurance policies Linear mortality approximation Majorization Mathematical analysis Mathematical models Mathematics Monotonicity Portfolio management Power approximation Schur-convex and concave functions Studies |
| title | Analysis of heterogeneous endowment policies portfolios under fractional approximations |
| url | https://sfx.bib-bvb.de/sfx_tum?ctx_ver=Z39.88-2004&ctx_enc=info:ofi/enc:UTF-8&ctx_tim=2025-02-12T15%3A03%3A15IST&url_ver=Z39.88-2004&url_ctx_fmt=infofi/fmt:kev:mtx:ctx&rfr_id=info:sid/primo.exlibrisgroup.com:primo3-Article-proquest_cross&rft_val_fmt=info:ofi/fmt:kev:mtx:journal&rft.genre=article&rft.atitle=Analysis%20of%20heterogeneous%20endowment%20policies%20portfolios%20under%20fractional%20approximations&rft.jtitle=Insurance,%20mathematics%20&%20economics&rft.au=Dahan,%20Merav&rft.date=2003-12-19&rft.volume=33&rft.issue=3&rft.spage=567&rft.epage=584&rft.pages=567-584&rft.issn=0167-6687&rft.eissn=1873-5959&rft.coden=IMECDX&rft_id=info:doi/10.1016/j.insmatheco.2003.08.001&rft_dat=%3Cproquest_cross%3E768780541%3C/proquest_cross%3E%3Curl%3E%3C/url%3E&disable_directlink=true&sfx.directlink=off&sfx.report_link=0&rft_id=info:oai/&rft_pqid=208176538&rft_id=info:pmid/&rft_els_id=S0167668703001756&rfr_iscdi=true |