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On the distribution of the duration of negative surplus

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Resumo:In the classical risk model we allow the surplus process to continue if the surplus falls below zero. We consider the distributions of the duration of a single period of negative surplus and of the total duration of negative surplus. We derive explicit results where possible and show how to approximate these distributions.
Autores principais:Dickson, David C.M.
Outros Autores:Reis, Alfredo D. Egídio dos
Assunto:Ruin Theory Negative Surplus Severity of Ruin Failure Rate Recursive Calculation
Ano:1995
País:Portugal
Tipo de documento:working paper
Tipo de acesso:acesso aberto
Instituição associada:Universidade de Lisboa
Idioma:inglês
Origem:Repositório da Universidade de Lisboa
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author Dickson, David C.M.
author2 Reis, Alfredo D. Egídio dos
author2_role author
author_facet Dickson, David C.M.
Reis, Alfredo D. Egídio dos
author_role author
contributor_name_str_mv Repositório Científico de Acesso Aberto da ULisboa
country_str PT
creators_json_txt [{\"Person.name\":\"Dickson, David C.M.\"},{\"Person.name\":\"Reis, Alfredo D. Egídio dos\"}]
datacite.contributors.contributor.contributorName.fl_str_mv Repositório Científico de Acesso Aberto da ULisboa
datacite.creators.creator.creatorName.fl_str_mv Dickson, David C.M.
Reis, Alfredo D. Egídio dos
datacite.date.Accepted.fl_str_mv 1995-01-01T00:00:00Z
datacite.date.available.fl_str_mv 2022-06-03T10:50:58Z
datacite.date.embargoed.fl_str_mv 2022-06-03T10:50:58Z
datacite.rights.fl_str_mv http://purl.org/coar/access_right/c_abf2
datacite.subjects.subject.fl_str_mv Ruin Theory
Negative Surplus
Severity of Ruin
Failure Rate
Recursive Calculation
datacite.titles.title.fl_str_mv On the distribution of the duration of negative surplus
dc.contributor.none.fl_str_mv Repositório Científico de Acesso Aberto da ULisboa
dc.creator.none.fl_str_mv Dickson, David C.M.
Reis, Alfredo D. Egídio dos
dc.date.Accepted.fl_str_mv 1995-01-01T00:00:00Z
dc.date.available.fl_str_mv 2022-06-03T10:50:58Z
dc.date.embargoed.fl_str_mv 2022-06-03T10:50:58Z
dc.format.none.fl_str_mv application/pdf
dc.identifier.none.fl_str_mv http://hdl.handle.net/10400.5/24479
dc.language.none.fl_str_mv eng
dc.publisher.none.fl_str_mv The University of Melboume
dc.rights.none.fl_str_mv http://purl.org/coar/access_right/c_abf2
dc.subject.none.fl_str_mv Ruin Theory
Negative Surplus
Severity of Ruin
Failure Rate
Recursive Calculation
dc.title.fl_str_mv On the distribution of the duration of negative surplus
dc.type.none.fl_str_mv http://purl.org/coar/resource_type/c_8042
description In the classical risk model we allow the surplus process to continue if the surplus falls below zero. We consider the distributions of the duration of a single period of negative surplus and of the total duration of negative surplus. We derive explicit results where possible and show how to approximate these distributions.
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eu_rights_str_mv openAccess
format workingPaper
fulltext.url.fl_str_mv https://repositorio.ulisboa.pt/bitstreams/275be140-d692-4e7f-9de1-19ffd79528fe/download
id ul_ba1ff22601ac3e6cfaaea2c7968ec304
identifier.url.fl_str_mv http://hdl.handle.net/10400.5/24479
instacron_str ul
institution Universidade de Lisboa
instname_str Universidade de Lisboa
language eng
network_acronym_str ul
network_name_str Repositório da Universidade de Lisboa
oai_identifier_str oai:repositorio.ulisboa.pt:10400.5/24479
organization_str_mv urn:organizationAcronym:ul
person_str_mv Dickson, David C.M.
Reis, Alfredo D. Egídio dos
publishDate 1995
publisher.none.fl_str_mv The University of Melboume
reponame_str Repositório da Universidade de Lisboa
repository_id_str urn:repositoryAcronym:ul
service_str_mv urn:repositoryAcronym:ul
spelling engThe University of Melboumept_PTIn the classical risk model we allow the surplus process to continue if the surplus falls below zero. We consider the distributions of the duration of a single period of negative surplus and of the total duration of negative surplus. We derive explicit results where possible and show how to approximate these distributions.application/pdfpt_PTOn the distribution of the duration of negative surplusDickson, David C.M.Reis, Alfredo D. Egídio dosHostingInstitutionOrganizationalRepositório Científico de Acesso Aberto da ULisboae-mailmailto:repositorio@reitoria.ulisboa.ptrepositorio@reitoria.ulisboa.pt2022-06-03T10:50:58Z19951995-01-01T00:00:00ZHandlehttp://hdl.handle.net/10400.5/24479http://purl.org/coar/access_right/c_abf2open accessRuin TheoryNegative SurplusSeverity of RuinFailure RateRecursive Calculation1721840 bytesother research producthttp://purl.org/coar/resource_type/c_8042working paperhttp://purl.org/coar/access_right/c_abf2application/pdffulltexthttps://repositorio.ulisboa.pt/bitstreams/275be140-d692-4e7f-9de1-19ffd79528fe/download
spellingShingle On the distribution of the duration of negative surplus
Dickson, David C.M.
Ruin Theory
Negative Surplus
Severity of Ruin
Failure Rate
Recursive Calculation
status SINGLETON
subject.fl_str_mv Ruin Theory
Negative Surplus
Severity of Ruin
Failure Rate
Recursive Calculation
title On the distribution of the duration of negative surplus
title_full On the distribution of the duration of negative surplus
title_fullStr On the distribution of the duration of negative surplus
title_full_unstemmed On the distribution of the duration of negative surplus
title_short On the distribution of the duration of negative surplus
title_sort On the distribution of the duration of negative surplus
topic Ruin Theory
Negative Surplus
Severity of Ruin
Failure Rate
Recursive Calculation
topic_facet Ruin Theory
Negative Surplus
Severity of Ruin
Failure Rate
Recursive Calculation
url http://hdl.handle.net/10400.5/24479
visible 1