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Abstract
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.
| Original language | English |
|---|---|
| Pages (from-to) | 679-691 |
| Journal | Statistical Analysis and Data Mining |
| Volume | 15 |
| Issue number | 6 |
| Online published | 5 Oct 2022 |
| DOIs | |
| Publication status | Published - Dec 2022 |
Funding
National Natural Science Foundation of China, Grant/Award Numbers: 12071414; 11661079; 71973116; Philosophy and Social Science Program of Guangdong, Grant/Award Number: GD18XGL22; Hong Kong Research Grants Council, Grant/Award Number: CityU11500419
Research Keywords
- count data
- loss function
- model averaging
- stacking
- zero-inflated Poisson regression model
RGC Funding Information
- RGC-funded
Fingerprint
Dive into the research topics of 'Frequentist model averaging for zero-inflated Poisson regression models'. Together they form a unique fingerprint.Projects
- 1 Finished
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GRF: Statistical Inference after Model Averaging
WAN, T.-K. A. (Principal Investigator / Project Coordinator) & Zhang, X. (Co-Investigator)
1/11/19 → 16/10/23
Project: Research