Limit Theorems for Classical, Freely and Boolean Max-Infinitely Divisible Distributions
Abstract We investigate a Belinschi–Nica-type semigroup for free and Boolean max-convolutions. We prove that this semigroup at time one connects limit theorems for freely and Boolean max-infinitely divisible distributions. Moreover, we also construct a max-analogue of Boolean-classical Bercovici–Pat...
Ausführliche Beschreibung
Autor*in: |
Ueda, Yuki [verfasserIn] |
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Format: |
Artikel |
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Sprache: |
Englisch |
Erschienen: |
2021 |
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Schlagwörter: |
Max-stable (extreme value) distributions |
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Anmerkung: |
© Springer Science+Business Media, LLC, part of Springer Nature 2021 |
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Übergeordnetes Werk: |
Enthalten in: Journal of theoretical probability - Springer US, 1988, 35(2021), 1 vom: 02. Jan., Seite 89-114 |
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Übergeordnetes Werk: |
volume:35 ; year:2021 ; number:1 ; day:02 ; month:01 ; pages:89-114 |
Links: |
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DOI / URN: |
10.1007/s10959-020-01060-7 |
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Katalog-ID: |
OLC2078013153 |
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10.1007/s10959-020-01060-7 doi (DE-627)OLC2078013153 (DE-He213)s10959-020-01060-7-p DE-627 ger DE-627 rakwb eng 510 VZ 17,1 ssgn Ueda, Yuki verfasserin (orcid)0000-0003-4215-9370 aut Limit Theorems for Classical, Freely and Boolean Max-Infinitely Divisible Distributions 2021 Text txt rdacontent ohne Hilfsmittel zu benutzen n rdamedia Band nc rdacarrier © Springer Science+Business Media, LLC, part of Springer Nature 2021 Abstract We investigate a Belinschi–Nica-type semigroup for free and Boolean max-convolutions. We prove that this semigroup at time one connects limit theorems for freely and Boolean max-infinitely divisible distributions. Moreover, we also construct a max-analogue of Boolean-classical Bercovici–Pata bijection, establishing the equivalence of limit theorems for Boolean and classical max-infinitely divisible distributions. Max-convolution Max-stable (extreme value) distributions Max-infinitely divisible distributions Max-Belinschi–Nica semigroup Max-compound Poisson distributions Enthalten in Journal of theoretical probability Springer US, 1988 35(2021), 1 vom: 02. Jan., Seite 89-114 (DE-627)129930903 (DE-600)357043-5 (DE-576)018191886 0894-9840 nnns volume:35 year:2021 number:1 day:02 month:01 pages:89-114 https://doi.org/10.1007/s10959-020-01060-7 lizenzpflichtig Volltext GBV_USEFLAG_A SYSFLAG_A GBV_OLC SSG-OLC-MAT SSG-OPC-MAT GBV_ILN_4027 AR 35 2021 1 02 01 89-114 |
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10.1007/s10959-020-01060-7 doi (DE-627)OLC2078013153 (DE-He213)s10959-020-01060-7-p DE-627 ger DE-627 rakwb eng 510 VZ 17,1 ssgn Ueda, Yuki verfasserin (orcid)0000-0003-4215-9370 aut Limit Theorems for Classical, Freely and Boolean Max-Infinitely Divisible Distributions 2021 Text txt rdacontent ohne Hilfsmittel zu benutzen n rdamedia Band nc rdacarrier © Springer Science+Business Media, LLC, part of Springer Nature 2021 Abstract We investigate a Belinschi–Nica-type semigroup for free and Boolean max-convolutions. We prove that this semigroup at time one connects limit theorems for freely and Boolean max-infinitely divisible distributions. Moreover, we also construct a max-analogue of Boolean-classical Bercovici–Pata bijection, establishing the equivalence of limit theorems for Boolean and classical max-infinitely divisible distributions. Max-convolution Max-stable (extreme value) distributions Max-infinitely divisible distributions Max-Belinschi–Nica semigroup Max-compound Poisson distributions Enthalten in Journal of theoretical probability Springer US, 1988 35(2021), 1 vom: 02. Jan., Seite 89-114 (DE-627)129930903 (DE-600)357043-5 (DE-576)018191886 0894-9840 nnns volume:35 year:2021 number:1 day:02 month:01 pages:89-114 https://doi.org/10.1007/s10959-020-01060-7 lizenzpflichtig Volltext GBV_USEFLAG_A SYSFLAG_A GBV_OLC SSG-OLC-MAT SSG-OPC-MAT GBV_ILN_4027 AR 35 2021 1 02 01 89-114 |
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10.1007/s10959-020-01060-7 doi (DE-627)OLC2078013153 (DE-He213)s10959-020-01060-7-p DE-627 ger DE-627 rakwb eng 510 VZ 17,1 ssgn Ueda, Yuki verfasserin (orcid)0000-0003-4215-9370 aut Limit Theorems for Classical, Freely and Boolean Max-Infinitely Divisible Distributions 2021 Text txt rdacontent ohne Hilfsmittel zu benutzen n rdamedia Band nc rdacarrier © Springer Science+Business Media, LLC, part of Springer Nature 2021 Abstract We investigate a Belinschi–Nica-type semigroup for free and Boolean max-convolutions. We prove that this semigroup at time one connects limit theorems for freely and Boolean max-infinitely divisible distributions. Moreover, we also construct a max-analogue of Boolean-classical Bercovici–Pata bijection, establishing the equivalence of limit theorems for Boolean and classical max-infinitely divisible distributions. Max-convolution Max-stable (extreme value) distributions Max-infinitely divisible distributions Max-Belinschi–Nica semigroup Max-compound Poisson distributions Enthalten in Journal of theoretical probability Springer US, 1988 35(2021), 1 vom: 02. Jan., Seite 89-114 (DE-627)129930903 (DE-600)357043-5 (DE-576)018191886 0894-9840 nnns volume:35 year:2021 number:1 day:02 month:01 pages:89-114 https://doi.org/10.1007/s10959-020-01060-7 lizenzpflichtig Volltext GBV_USEFLAG_A SYSFLAG_A GBV_OLC SSG-OLC-MAT SSG-OPC-MAT GBV_ILN_4027 AR 35 2021 1 02 01 89-114 |
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Abstract We investigate a Belinschi–Nica-type semigroup for free and Boolean max-convolutions. We prove that this semigroup at time one connects limit theorems for freely and Boolean max-infinitely divisible distributions. Moreover, we also construct a max-analogue of Boolean-classical Bercovici–Pata bijection, establishing the equivalence of limit theorems for Boolean and classical max-infinitely divisible distributions. © Springer Science+Business Media, LLC, part of Springer Nature 2021 |
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Abstract We investigate a Belinschi–Nica-type semigroup for free and Boolean max-convolutions. We prove that this semigroup at time one connects limit theorems for freely and Boolean max-infinitely divisible distributions. Moreover, we also construct a max-analogue of Boolean-classical Bercovici–Pata bijection, establishing the equivalence of limit theorems for Boolean and classical max-infinitely divisible distributions. © Springer Science+Business Media, LLC, part of Springer Nature 2021 |
abstract_unstemmed |
Abstract We investigate a Belinschi–Nica-type semigroup for free and Boolean max-convolutions. We prove that this semigroup at time one connects limit theorems for freely and Boolean max-infinitely divisible distributions. Moreover, we also construct a max-analogue of Boolean-classical Bercovici–Pata bijection, establishing the equivalence of limit theorems for Boolean and classical max-infinitely divisible distributions. © Springer Science+Business Media, LLC, part of Springer Nature 2021 |
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