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On goodness-of-fit tests for the Bell distribution

Author

Listed:
  • Apostolos Batsidis

    (University of Ioannina)

  • María Dolores Jiménez-Gamero

    (Universidad de Sevilla)

  • Artur J. Lemonte

    (Universidade Federal do Rio Grande do Norte)

Abstract

The one-parameter Bell family of distributions, introduced by Castellares et al. (Appl Math Model 56:172–185, 2018), is useful for modeling count data. This paper proposes and studies a goodness-of-fit test for this distribution, which is consistent against fixed alternatives. The finite sample performance of the proposed test is investigated by means of several Monte Carlo simulation experiments, and it is also compared with other related ones. Real data applications are considered for illustrative purposes.

Suggested Citation

  • Apostolos Batsidis & María Dolores Jiménez-Gamero & Artur J. Lemonte, 2020. "On goodness-of-fit tests for the Bell distribution," Metrika: International Journal for Theoretical and Applied Statistics, Springer, vol. 83(3), pages 297-319, April.
    • Handle: RePEc:spr:metrik:v:83:y:2020:i:3:d:10.1007_s00184-019-00733-6
    DOI: 10.1007/s00184-019-00733-6
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    References listed on IDEAS

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