First Crossing Times of Telegraph Processes with Jumps

The paper presents exact formulae related to the distribution of the first passage time ?x of the jump-telegraph process. In particular, the Laplace transform of ?x is analysed, when a jump component is in the opposite direction to the crossing level x and gt; 0. The case of double exponential jumps...

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Tipo de recurso:
Fecha de publicación:
2020
Institución:
Universidad del Rosario
Repositorio:
Repositorio EdocUR - U. Rosario
Idioma:
eng
OAI Identifier:
oai:repository.urosario.edu.co:10336/22588
Acceso en línea:
https://doi.org/10.1007/s11009-019-09709-5
https://repository.urosario.edu.co/handle/10336/22588
Palabra clave:
Double exponential distribution
First passage time
Jump-telegraph process
Laplace transformation
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spelling 3203526002020-05-25T23:57:02Z2020-05-25T23:57:02Z2020The paper presents exact formulae related to the distribution of the first passage time ?x of the jump-telegraph process. In particular, the Laplace transform of ?x is analysed, when a jump component is in the opposite direction to the crossing level x and gt; 0. The case of double exponential jumps is also studied in detail. © 2019, Springer Science+Business Media, LLC, part of Springer Nature.application/pdfhttps://doi.org/10.1007/s11009-019-09709-513875841https://repository.urosario.edu.co/handle/10336/22588engSpringer370No. 1349Methodology and Computing in Applied ProbabilityVol. 22Methodology and Computing in Applied Probability, ISSN:13875841, Vol.22, No.1 (2020); pp. 349-370https://www.scopus.com/inward/record.uri?eid=2-s2.0-85064456880&doi=10.1007%2fs11009-019-09709-5&partnerID=40&md5=9e1f060c6e15aace8788db85e3903a9bAbierto (Texto Completo)http://purl.org/coar/access_right/c_abf2instname:Universidad del Rosarioreponame:Repositorio Institucional EdocURDouble exponential distributionFirst passage timeJump-telegraph processLaplace transformationFirst Crossing Times of Telegraph Processes with JumpsarticleArtículohttp://purl.org/coar/version/c_970fb48d4fbd8a85http://purl.org/coar/resource_type/c_6501Ratanov, NikitaORIGINALRatanov2020_Article_FirstCrossingTimesOfTelegraphP.pdfapplication/pdf888620https://repository.urosario.edu.co/bitstreams/6a3cf884-9ab7-4c12-996b-83fe22f59feb/downloadd8cc449a9fec01da1ee2a64075becb30MD51TEXTRatanov2020_Article_FirstCrossingTimesOfTelegraphP.pdf.txtRatanov2020_Article_FirstCrossingTimesOfTelegraphP.pdf.txtExtracted texttext/plain41070https://repository.urosario.edu.co/bitstreams/2dbf206c-d5ce-4568-87f3-bc8869007c30/downloadfa11c74de3aea6bebb68cc9bb21a46f1MD52THUMBNAILRatanov2020_Article_FirstCrossingTimesOfTelegraphP.pdf.jpgRatanov2020_Article_FirstCrossingTimesOfTelegraphP.pdf.jpgGenerated Thumbnailimage/jpeg4055https://repository.urosario.edu.co/bitstreams/9047d86c-bd9e-4671-bae2-e6ec0402e3dd/download881a5c3261321cf5b0e84acd6bc28beaMD5310336/22588oai:repository.urosario.edu.co:10336/225882021-06-10 19:24:51.361https://repository.urosario.edu.coRepositorio institucional EdocURedocur@urosario.edu.co
dc.title.spa.fl_str_mv First Crossing Times of Telegraph Processes with Jumps
title First Crossing Times of Telegraph Processes with Jumps
spellingShingle First Crossing Times of Telegraph Processes with Jumps
Double exponential distribution
First passage time
Jump-telegraph process
Laplace transformation
title_short First Crossing Times of Telegraph Processes with Jumps
title_full First Crossing Times of Telegraph Processes with Jumps
title_fullStr First Crossing Times of Telegraph Processes with Jumps
title_full_unstemmed First Crossing Times of Telegraph Processes with Jumps
title_sort First Crossing Times of Telegraph Processes with Jumps
dc.subject.keyword.spa.fl_str_mv Double exponential distribution
First passage time
Jump-telegraph process
Laplace transformation
topic Double exponential distribution
First passage time
Jump-telegraph process
Laplace transformation
description The paper presents exact formulae related to the distribution of the first passage time ?x of the jump-telegraph process. In particular, the Laplace transform of ?x is analysed, when a jump component is in the opposite direction to the crossing level x and gt; 0. The case of double exponential jumps is also studied in detail. © 2019, Springer Science+Business Media, LLC, part of Springer Nature.
publishDate 2020
dc.date.accessioned.none.fl_str_mv 2020-05-25T23:57:02Z
dc.date.available.none.fl_str_mv 2020-05-25T23:57:02Z
dc.date.created.spa.fl_str_mv 2020
dc.type.eng.fl_str_mv article
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dc.type.spa.spa.fl_str_mv Artículo
dc.identifier.doi.none.fl_str_mv https://doi.org/10.1007/s11009-019-09709-5
dc.identifier.issn.none.fl_str_mv 13875841
dc.identifier.uri.none.fl_str_mv https://repository.urosario.edu.co/handle/10336/22588
url https://doi.org/10.1007/s11009-019-09709-5
https://repository.urosario.edu.co/handle/10336/22588
identifier_str_mv 13875841
dc.language.iso.spa.fl_str_mv eng
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dc.relation.citationEndPage.none.fl_str_mv 370
dc.relation.citationIssue.none.fl_str_mv No. 1
dc.relation.citationStartPage.none.fl_str_mv 349
dc.relation.citationTitle.none.fl_str_mv Methodology and Computing in Applied Probability
dc.relation.citationVolume.none.fl_str_mv Vol. 22
dc.relation.ispartof.spa.fl_str_mv Methodology and Computing in Applied Probability, ISSN:13875841, Vol.22, No.1 (2020); pp. 349-370
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