随机时间逐级放大过滤下的Dynkin博弈

IF 0.7 4区 数学 Q3 STATISTICS & PROBABILITY
Statistics & Probability Letters Pub Date : 2026-06-01 Epub Date: 2026-02-10 DOI:10.1016/j.spl.2026.110686
Badr Elmansouri , Mohamed Marzougue , Mohamed El Jamali
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引用次数: 0

摘要

本文刻画并建立了一类Dynkin对策在参考滤波F随随机时间τ(不一定是F停止时间)逐级增大G下的值过程之间的显式关系。我们证明了在G中解决估价问题可以简化为在F中解决一个相关的定价问题。
本文章由计算机程序翻译,如有差异,请以英文原文为准。
Dynkin games under progressive enlargement of filtration with random time
This paper characterizes and establishes an explicit relationship between the value processes of a class of Dynkin games under the progressive enlargement G of a reference filtration F by a random time τ, which is not necessarily an F-stopping time. We prove that solving the valuation problem in G reduces to solving an associated pricing problem in F.
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来源期刊
Statistics & Probability Letters
Statistics & Probability Letters 数学-统计学与概率论
CiteScore
1.60
自引率
0.00%
发文量
173
审稿时长
6 months
期刊介绍: Statistics & Probability Letters adopts a novel and highly innovative approach to the publication of research findings in statistics and probability. It features concise articles, rapid publication and broad coverage of the statistics and probability literature. Statistics & Probability Letters is a refereed journal. Articles will be limited to six journal pages (13 double-space typed pages) including references and figures. Apart from the six-page limitation, originality, quality and clarity will be the criteria for choosing the material to be published in Statistics & Probability Letters. Every attempt will be made to provide the first review of a submitted manuscript within three months of submission. The proliferation of literature and long publication delays have made it difficult for researchers and practitioners to keep up with new developments outside of, or even within, their specialization. The aim of Statistics & Probability Letters is to help to alleviate this problem. Concise communications (letters) allow readers to quickly and easily digest large amounts of material and to stay up-to-date with developments in all areas of statistics and probability. The mainstream of Letters will focus on new statistical methods, theoretical results, and innovative applications of statistics and probability to other scientific disciplines. Key results and central ideas must be presented in a clear and concise manner. These results may be part of a larger study that the author will submit at a later time as a full length paper to SPL or to another journal. Theory and methodology may be published with proofs omitted, or only sketched, but only if sufficient support material is provided so that the findings can be verified. Empirical and computational results that are of significant value will be published.
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