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The Performance of the Maximum Likelihood Estimator for the Bell Distribution for Count Data

David E. A. Giles

Journal of Modern Applied Statistical Methods2024https://doi.org/10.56801/jmasm.v23.i2.3article
ABDC B
Weight
0.30

Abstract

The single-parameter “Bell distribution” for discrete data allows for over-dispersion in the data. The maximum likelihood estimator for its parameter is downward-biased in finite samples. We consider various methods for reducing this bias. A simulation study shows that these are effective and also lead to a small improvement in the mean squared error of the estimator. The Cox-Snell correction is the recommended. choice among the options that are considered.

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https://doi.org/https://doi.org/10.56801/jmasm.v23.i2.3

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@article{david2024,
  title        = {{The Performance of the Maximum Likelihood Estimator for the Bell Distribution for Count Data}},
  author       = {David E. A. Giles},
  journal      = {Journal of Modern Applied Statistical Methods},
  year         = {2024},
  doi          = {https://doi.org/https://doi.org/10.56801/jmasm.v23.i2.3},
}

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The Performance of the Maximum Likelihood Estimator for the Bell Distribution for Count Data

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F · citation impact0.00 × 0.4 = 0.00
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