A family of martingales generated by a process with independent increments

An explicit procedure to construct a family of martingales generated by a process with independent increments is presented. The main tools are the polynomials that give the relationship between the moments and cumulants, and a set of martingales related to the jumps of the process called Teugels mar...

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Date:2008
Main Authors: Sole, J.L., Utzet, F.
Format: Article
Language:English
Published: Інститут математики НАН України 2008
Online Access:https://nasplib.isofts.kiev.ua/handle/123456789/4559
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Journal Title:Digital Library of Periodicals of National Academy of Sciences of Ukraine
Cite this:A family of martingales generated by a process with independent increments / J.L. Sole, F. Utzet // Theory of Stochastic Processes. — 2008. — Т. 14 (30), № 2. — С. 139–144. — Бібліогр.: 9 назв.— англ.

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Digital Library of Periodicals of National Academy of Sciences of Ukraine
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author Sole, J.L.
Utzet, F.
author_facet Sole, J.L.
Utzet, F.
citation_txt A family of martingales generated by a process with independent increments / J.L. Sole, F. Utzet // Theory of Stochastic Processes. — 2008. — Т. 14 (30), № 2. — С. 139–144. — Бібліогр.: 9 назв.— англ.
collection DSpace DC
description An explicit procedure to construct a family of martingales generated by a process with independent increments is presented. The main tools are the polynomials that give the relationship between the moments and cumulants, and a set of martingales related to the jumps of the process called Teugels martingales.
first_indexed 2025-11-30T09:12:56Z
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institution Digital Library of Periodicals of National Academy of Sciences of Ukraine
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language English
last_indexed 2025-11-30T09:12:56Z
publishDate 2008
publisher Інститут математики НАН України
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spelling Sole, J.L.
Utzet, F.
2009-12-03T16:42:16Z
2009-12-03T16:42:16Z
2008
A family of martingales generated by a process with independent increments / J.L. Sole, F. Utzet // Theory of Stochastic Processes. — 2008. — Т. 14 (30), № 2. — С. 139–144. — Бібліогр.: 9 назв.— англ.
0321-3900
https://nasplib.isofts.kiev.ua/handle/123456789/4559
519.21
An explicit procedure to construct a family of martingales generated by a process with independent increments is presented. The main tools are the polynomials that give the relationship between the moments and cumulants, and a set of martingales related to the jumps of the process called Teugels martingales.
This research was supported by grant BFM2006-06247 of the Ministerio de Educacion y Ciencia and FEDER.
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Інститут математики НАН України
A family of martingales generated by a process with independent increments
Article
published earlier
spellingShingle A family of martingales generated by a process with independent increments
Sole, J.L.
Utzet, F.
title A family of martingales generated by a process with independent increments
title_full A family of martingales generated by a process with independent increments
title_fullStr A family of martingales generated by a process with independent increments
title_full_unstemmed A family of martingales generated by a process with independent increments
title_short A family of martingales generated by a process with independent increments
title_sort family of martingales generated by a process with independent increments
url https://nasplib.isofts.kiev.ua/handle/123456789/4559
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