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发表状态已发表Published
题名Sparse poisson regression with penalized weighted score function
作者
发表日期2019
发表期刊Electronic Journal of Statistics
ISSN/eISSN1935-7524
卷号13期号:2页码:2898-2920
摘要

By introducing a weighted score function, we propose a new penalized method, similar to square root lasso, to study sparse Poisson regression problems. The corresponding new estimator not only has 1 consistency but also enjoys the tuning free property. We further verify our theoretical results by numerical simulations and apply them to an image reconstruction problem.

关键词Image reconstruction Moderate deviation Poisson regression Tuning-free ℓ1 consistency ℓ1 penalization
DOI10.1214/19-EJS1580
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收录类别SCIE
语种英语English
WOS研究方向Mathematics
WOS类目Statistics & Probability
WOS记录号WOS:000505695800016
Scopus入藏号2-s2.0-85073385624
引用统计
被引频次:10[WOS]   [WOS记录]     [WOS相关记录]
文献类型期刊论文
条目标识符https://repository.uic.edu.cn/handle/39GCC9TT/9187
专题个人在本单位外知识产出
作者单位
1.School of Public Health and Center for Statistical Science,Peking University,Beijing,China
2.School of Mathematics and Statistics,Wuhan University,Wuhan,430072,China
3.Department of Mathematics,Faculty of Science and Technology,University of Macau,Taipa,Av. Padre Tomás Pereira,Macao
4.UMacau Zhuhai Research Institute,Zhuhai,China
推荐引用方式
GB/T 7714
Jia, Jinzhu,Xie, Fang,Xu, Lihu. Sparse poisson regression with penalized weighted score function[J]. Electronic Journal of Statistics, 2019, 13(2): 2898-2920.
APA Jia, Jinzhu, Xie, Fang, & Xu, Lihu. (2019). Sparse poisson regression with penalized weighted score function. Electronic Journal of Statistics, 13(2), 2898-2920.
MLA Jia, Jinzhu,et al."Sparse poisson regression with penalized weighted score function". Electronic Journal of Statistics 13.2(2019): 2898-2920.
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