Frequentist model averaging for zero-inflated Poisson regression models

Jianhong Zhou, Alan T. K. Wan, Dalei Yu*

*Corresponding author for this work

    Research output: Journal Publications and ReviewsRGC 21 - Publication in refereed journalpeer-review

    2 Citations (Scopus)

    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 languageEnglish
    Pages (from-to)679-691
    JournalStatistical Analysis and Data Mining
    Volume15
    Issue number6
    Online published5 Oct 2022
    DOIs
    Publication statusPublished - 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

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