{"title":"Backward stochastic Volterra integral equations with jumps in a general filtration","authors":"A. Popier","doi":"10.1051/PS/2021006","DOIUrl":null,"url":null,"abstract":"In this paper, we study backward stochastic Volterra integral equations introduced in Lin [Stochastic Anal. Appl. 20 (2002) 165–183] and Yong [Stochastic Process. Appl. 116 (2006) 779–795] and extend the existence, uniqueness or comparison results for general filtration as in Papapantoleon et al. [Electron. J. Probab. 23 (2018) EJP240] (not only Brownian-Poisson setting). We also consider Lp-data and explore the time regularity of the solution in the Itô setting, which is also new in this jump setting.","PeriodicalId":51249,"journal":{"name":"Esaim-Probability and Statistics","volume":null,"pages":null},"PeriodicalIF":0.6000,"publicationDate":"2020-02-17","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"11","resultStr":null,"platform":"Semanticscholar","paperid":null,"PeriodicalName":"Esaim-Probability and Statistics","FirstCategoryId":"100","ListUrlMain":"https://doi.org/10.1051/PS/2021006","RegionNum":4,"RegionCategory":"数学","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"Q4","JCRName":"STATISTICS & PROBABILITY","Score":null,"Total":0}
引用次数: 11
Abstract
In this paper, we study backward stochastic Volterra integral equations introduced in Lin [Stochastic Anal. Appl. 20 (2002) 165–183] and Yong [Stochastic Process. Appl. 116 (2006) 779–795] and extend the existence, uniqueness or comparison results for general filtration as in Papapantoleon et al. [Electron. J. Probab. 23 (2018) EJP240] (not only Brownian-Poisson setting). We also consider Lp-data and explore the time regularity of the solution in the Itô setting, which is also new in this jump setting.
期刊介绍：
The journal publishes original research and survey papers in the area of Probability and Statistics. It covers theoretical and practical aspects, in any field of these domains.
Of particular interest are methodological developments with application in other scientific areas, for example Biology and Genetics, Information Theory, Finance, Bioinformatics, Random structures and Random graphs, Econometrics, Physics.
Long papers are very welcome.
Indeed, we intend to develop the journal in the direction of applications and to open it to various fields where random mathematical modelling is important. In particular we will call (survey) papers in these areas, in order to make the random community aware of important problems of both theoretical and practical interest. We all know that many recent fascinating developments in Probability and Statistics are coming from "the outside" and we think that ESAIM: P&S should be a good entry point for such exchanges. Of course this does not mean that the journal will be only devoted to practical aspects.
京公网安备 11010802042870号
京ICP备2023020795号-1
分享
求助内容：
应助结果提醒方式：
扫码关注我们
