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Zero-and-one-inflated Poisson regression model

Author

Listed:
  • Wenchen Liu

    (East China Normal University)

  • Yincai Tang

    (East China Normal University)

  • Ancha Xu

    (Wenzhou University)

Abstract

In this paper, a zero-and-one-inflated Poisson (ZOIP) regression model is proposed. The maximum likelihood estimation (MLE) and Bayesian estimation for this model are investigated. Three estimation methods of the ZOIP regression model are obtained based on data augmentation method which is expectation-maximization (EM) algorithm, generalized expectation-maximization (GEM) algorithm and Gibbs sampling respectively. A simulation study is conducted to assess the performance of the proposed estimation for various sample sizes. Finally, an accidental deaths data set is analyzed to illustrate the practicability of the proposed method.

Suggested Citation

  • Wenchen Liu & Yincai Tang & Ancha Xu, 2021. "Zero-and-one-inflated Poisson regression model," Statistical Papers, Springer, vol. 62(2), pages 915-934, April.
    • Handle: RePEc:spr:stpapr:v:62:y:2021:i:2:d:10.1007_s00362-019-01118-7
    DOI: 10.1007/s00362-019-01118-7
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    References listed on IDEAS

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