Extremes of periodic moving averages of random variables with regularly varying tail probabilities
We define a family of local mixing conditions that enable the computation of the extremal index of periodic sequences from the joint distributions of kconsecutive variables of the sequence. By applying results, under local and global mixing conditions, to the ( 2m – 1)–dependent periodic sequence X(...
| Autores: | ; |
|---|---|
| Tipo de documento: | Artículo |
| Fecha de publicación: | 2004 |
| País: | España |
| Institución: | Universitat Politècnica de Catalunya (UPC) |
| Repositorio: | UPCommons. Portal del coneixement obert de la UPC |
| Lenguaje: | Inglés |
| OAI Identifier: | oai:upcommons.upc.edu:2099/3752 |
| Acceso en línea: | https://hdl.handle.net/2099/3752 |
| Nivel de acceso: | Acceso abierto |
| Palabra clave: | Stochastic processes Processos estocàstics Classificació AMS::60 Probability theory and stochastic processes::60G Stochastic processes |
| _version_ | 1878733775006859264 |
|---|---|
| author | Martins, Ana Paula |
| author2 | Ferreira, Helena |
| author2_role | author |
| author_browse | Ferreira, Helena Martins, Ana Paula |
| author_facet | Martins, Ana Paula Ferreira, Helena |
| author_role | author |
| collection | UPCommons. Portal del coneixement obert de la UPC |
| description | We define a family of local mixing conditions that enable the computation of the extremal index of periodic sequences from the joint distributions of kconsecutive variables of the sequence. By applying results, under local and global mixing conditions, to the ( 2m – 1)–dependent periodic sequence X(m) n = Pm – 1 j = –m cj Zn – j, n ≥ 1, we compute the extremal index of the periodic moving average sequence Xn= P∞ j=–∞ cj Zn – j, n ≥ 1, of random variables with regularly varying tail probabilities. This paper generalizes the theory for extremes of stationary moving averages with regularly varying tail probabilities. |
| eu_rights_str_mv | openAccess |
| format | article |
| id | ES_5cbb4c2d4e3ab23b26449fb446c2fb5a |
| institution | Universitat Politècnica de Catalunya (UPC) |
| instname_str | Universitat Politècnica de Catalunya (UPC) |
| language | eng |
| network_acronym_str | ES |
| network_name_str | España |
| oai_identifier_str | oai:upcommons.upc.edu:2099/3752 |
| publishDate | 2004 |
| publishDateSort | 2004 |
| publisher | Institut d'Estadística de Catalunya |
| publisherStr | Institut d'Estadística de Catalunya |
| reponame_str | UPCommons. Portal del coneixement obert de la UPC |
| spelling | Extremes of periodic moving averages of random variables with regularly varying tail probabilities Martins, Ana Paula Ferreira, Helena Stochastic processes Processos estocàstics Classificació AMS::60 Probability theory and stochastic processes::60G Stochastic processes We define a family of local mixing conditions that enable the computation of the extremal index of periodic sequences from the joint distributions of kconsecutive variables of the sequence. By applying results, under local and global mixing conditions, to the ( 2m – 1)–dependent periodic sequence X(m) n = Pm – 1 j = –m cj Zn – j, n ≥ 1, we compute the extremal index of the periodic moving average sequence Xn= P∞ j=–∞ cj Zn – j, n ≥ 1, of random variables with regularly varying tail probabilities. This paper generalizes the theory for extremes of stationary moving averages with regularly varying tail probabilities. Peer Reviewed Institut d'Estadística de Catalunya https://hdl.handle.net/2099/3752 |
| spellingShingle | Extremes of periodic moving averages of random variables with regularly varying tail probabilities Martins, Ana Paula Stochastic processes Processos estocàstics Classificació AMS::60 Probability theory and stochastic processes::60G Stochastic processes |
| title | Extremes of periodic moving averages of random variables with regularly varying tail probabilities |
| title_full | Extremes of periodic moving averages of random variables with regularly varying tail probabilities |
| title_fullStr | Extremes of periodic moving averages of random variables with regularly varying tail probabilities |
| title_full_unstemmed | Extremes of periodic moving averages of random variables with regularly varying tail probabilities |
| title_short | Extremes of periodic moving averages of random variables with regularly varying tail probabilities |
| title_sort | Extremes of periodic moving averages of random variables with regularly varying tail probabilities |
| topic | Stochastic processes Processos estocàstics Classificació AMS::60 Probability theory and stochastic processes::60G Stochastic processes |
| topic_facet | Stochastic processes Processos estocàstics Classificació AMS::60 Probability theory and stochastic processes::60G Stochastic processes |
| url | https://hdl.handle.net/2099/3752 |