Frequentist model averaging for zero-inflated Poisson regression models

被引:2
|
作者
Zhou, Jianhong [1 ]
Wan, Alan T. K. [2 ]
Yu, Dalei [3 ]
机构
[1] Guangdong Univ Finance, Dept Credit Management, Guangzhou, Peoples R China
[2] City Univ Hong Kong, Dept Management Sci, Kowloon, Hong Kong, Peoples R China
[3] Yunnan Univ Finance & Econ, Dept Stat, Kunming, Yunnan, Peoples R China
基金
中国国家自然科学基金;
关键词
count data; loss function; model averaging; stacking; zero-inflated Poisson regression model; FOCUSED INFORMATION CRITERIA; SELECTION; STACKING;
D O I
10.1002/sam.11598
中图分类号
TP18 [人工智能理论];
学科分类号
081104 ; 0812 ; 0835 ; 1405 ;
摘要
This paper considers frequentist model averaging for estimating the unknown parameters of the zero-inflated Poisson regression model. Our proposed weight choice procedure is based on the minimization of an unbiased estimator of a conditional quadratic loss function. We prove that the resulting model average estimator enjoys optimal asymptotic property and improves finite sample properties over the two commonly used information-based model selection estimators and their model average estimators via simulation studies. The proposed method is illustrated by a real data example.
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页码:679 / 691
页数:13
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