弱趋同意味着 GGC 内部平均值趋同

Hasanjan Sayit
{"title":"弱趋同意味着 GGC 内部平均值趋同","authors":"Hasanjan Sayit","doi":"arxiv-2407.15105","DOIUrl":null,"url":null,"abstract":"We prove that weak convergence within generalized gamma convolution (GGC)\ndistributions implies convergence in the mean value. We use this fact to show\nthe robustness of the expected utility maximizing optimal portfolio under\nexponential utility function when return vectors are modelled by hyperbolic\ndistributions.","PeriodicalId":501084,"journal":{"name":"arXiv - QuantFin - Mathematical Finance","volume":"20 1","pages":""},"PeriodicalIF":0.0000,"publicationDate":"2024-07-21","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"0","resultStr":"{\"title\":\"Weak convergence implies convergence in mean within GGC\",\"authors\":\"Hasanjan Sayit\",\"doi\":\"arxiv-2407.15105\",\"DOIUrl\":null,\"url\":null,\"abstract\":\"We prove that weak convergence within generalized gamma convolution (GGC)\\ndistributions implies convergence in the mean value. We use this fact to show\\nthe robustness of the expected utility maximizing optimal portfolio under\\nexponential utility function when return vectors are modelled by hyperbolic\\ndistributions.\",\"PeriodicalId\":501084,\"journal\":{\"name\":\"arXiv - QuantFin - Mathematical Finance\",\"volume\":\"20 1\",\"pages\":\"\"},\"PeriodicalIF\":0.0000,\"publicationDate\":\"2024-07-21\",\"publicationTypes\":\"Journal Article\",\"fieldsOfStudy\":null,\"isOpenAccess\":false,\"openAccessPdf\":\"\",\"citationCount\":\"0\",\"resultStr\":null,\"platform\":\"Semanticscholar\",\"paperid\":null,\"PeriodicalName\":\"arXiv - QuantFin - Mathematical Finance\",\"FirstCategoryId\":\"1085\",\"ListUrlMain\":\"https://doi.org/arxiv-2407.15105\",\"RegionNum\":0,\"RegionCategory\":null,\"ArticlePicture\":[],\"TitleCN\":null,\"AbstractTextCN\":null,\"PMCID\":null,\"EPubDate\":\"\",\"PubModel\":\"\",\"JCR\":\"\",\"JCRName\":\"\",\"Score\":null,\"Total\":0}","platform":"Semanticscholar","paperid":null,"PeriodicalName":"arXiv - QuantFin - Mathematical Finance","FirstCategoryId":"1085","ListUrlMain":"https://doi.org/arxiv-2407.15105","RegionNum":0,"RegionCategory":null,"ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"","JCRName":"","Score":null,"Total":0}
引用次数: 0

摘要

我们证明了广义伽马卷积(GGC)分布的弱收敛性意味着均值的收敛性。我们利用这一事实证明,当收益向量以双曲分布为模型时,预期效用最大化最优投资组合的欠指数效用函数是稳健的。
本文章由计算机程序翻译,如有差异,请以英文原文为准。
Weak convergence implies convergence in mean within GGC
We prove that weak convergence within generalized gamma convolution (GGC) distributions implies convergence in the mean value. We use this fact to show the robustness of the expected utility maximizing optimal portfolio under exponential utility function when return vectors are modelled by hyperbolic distributions.
求助全文
通过发布文献求助,成功后即可免费获取论文全文。 去求助
来源期刊
自引率
0.00%
发文量
0
×
引用
GB/T 7714-2015
复制
MLA
复制
APA
复制
导出至
BibTeX EndNote RefMan NoteFirst NoteExpress
×
提示
您的信息不完整,为了账户安全,请先补充。
现在去补充
×
提示
您因"违规操作"
具体请查看互助需知
我知道了
×
提示
确定
请完成安全验证×
copy
已复制链接
快去分享给好友吧!
我知道了
右上角分享
点击右上角分享
0
联系我们:info@booksci.cn Book学术提供免费学术资源搜索服务,方便国内外学者检索中英文文献。致力于提供最便捷和优质的服务体验。 Copyright © 2023 布克学术 All rights reserved.
京ICP备2023020795号-1
ghs 京公网安备 11010802042870号
Book学术文献互助
Book学术文献互助群
群 号:481959085
Book学术官方微信