Direct local linear estimation for Sharpe ratio function | |
Lin, Hongmei3,4; Tong, Tiejun2; Wang, Yuedong1; Xu, Wenchao6; Zhang, Riquan3,5 | |
刊名 | CANADIAN JOURNAL OF STATISTICS-REVUE CANADIENNE DE STATISTIQUE |
2021-09-01 | |
页码 | 23 |
关键词 | Heteroscedasticity local likelihood estimation local linear regression nonparametric regression Sharpe ratio function |
ISSN号 | 0319-5724 |
DOI | 10.1002/cjs.11658 |
英文摘要 | Nonparametric regression has been widely used to deal with nonlinearity and heteroscedasticity in financial time series. As the ratio of the mean and standard deviation functions, the Sharpe ratio function is one of the most commonly used risk/return measures in financial econometrics. Most existing methods take an indirect procedure, which first estimates the mean and variance functions and then applies these two functions to estimate the Sharpe ratio function. In practice, however, such an indirect procedure can often be less efficient. In this article, we propose a direct method to estimate the Sharpe ratio function by local linear regression. We further establish the asymptotic normality of the proposed estimator, apply Monte Carlo simulations to evaluate its finite sample performance, and compare it with the indirect method. The usefulness of our new method is also illustrated through a real data analysis. |
资助项目 | National Natural Science Foundation of China[11971171] ; National Natural Science Foundation of China[11701360] ; National Natural Science Foundation of China[11971300] ; National Natural Science Foundation of China[11671338] ; Shanghai Natural Science Foundation[20ZR1421800] ; Shanghai Natural Science Foundation[19ZR1420900] ; Open Research Fund of Key Laboratory of Advanced Theory and Application in Statistics and Data Science (East China Normal University) ; National Science Foundation of the United States[DMS-1507620] ; China Postdoctoral Science Foundation[2021M693340] ; [HKBU12303918] |
WOS研究方向 | Mathematics |
语种 | 英语 |
出版者 | WILEY |
WOS记录号 | WOS:000691735100001 |
内容类型 | 期刊论文 |
源URL | [http://ir.amss.ac.cn/handle/2S8OKBNM/59211] |
专题 | 中国科学院数学与系统科学研究院 |
通讯作者 | Xu, Wenchao |
作者单位 | 1.Univ Calif Santa Barbara, Dept Stat & Appl Probabil, Santa Barbara, CA 93106 USA 2.Hong Kong Baptist Univ, Dept Math, Hong Kong, Peoples R China 3.East China Normal Univ, Minist Educ, Key Lab Adv Theory & Applicat Stat & Data Sci, Shanghai, Peoples R China 4.Shanghai Univ Int Business & Econ, Sch Stat & Informat, Shanghai, Peoples R China 5.East China Normal Univ, Sch Stat, Shanghai, Peoples R China 6.Chinese Acad Sci, Acad Math & Syst Sci, Beijing, Peoples R China |
推荐引用方式 GB/T 7714 | Lin, Hongmei,Tong, Tiejun,Wang, Yuedong,et al. Direct local linear estimation for Sharpe ratio function[J]. CANADIAN JOURNAL OF STATISTICS-REVUE CANADIENNE DE STATISTIQUE,2021:23. |
APA | Lin, Hongmei,Tong, Tiejun,Wang, Yuedong,Xu, Wenchao,&Zhang, Riquan.(2021).Direct local linear estimation for Sharpe ratio function.CANADIAN JOURNAL OF STATISTICS-REVUE CANADIENNE DE STATISTIQUE,23. |
MLA | Lin, Hongmei,et al."Direct local linear estimation for Sharpe ratio function".CANADIAN JOURNAL OF STATISTICS-REVUE CANADIENNE DE STATISTIQUE (2021):23. |
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