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Poisson Regression-Based Mean Estimator

Author

Listed:
  • Usman Shahzad
  • Shabnam Shahzadi
  • Noureen Afshan
  • Nadia H. Al-Noor
  • David Anekeya Alilah
  • Muhammad Hanif
  • Malik Muhammad Anas

Abstract

The most frequent method for modeling count responses in numerous investigations is the Poisson regression model. Under simple random sampling, this paper offers utilizing Poisson regression-based mean estimator and discovers its associated formula of the mean square error (MSE). The MSE of the proposed estimator is compared to the MSE of traditional ratio estimators in theory. As a result of these evaluations, the proposed estimator has been proven to be more efficient than traditional estimators. Furthermore, the practical results corroborated the theoretical findings.

Suggested Citation

  • Usman Shahzad & Shabnam Shahzadi & Noureen Afshan & Nadia H. Al-Noor & David Anekeya Alilah & Muhammad Hanif & Malik Muhammad Anas, 2021. "Poisson Regression-Based Mean Estimator," Mathematical Problems in Engineering, Hindawi, vol. 2021, pages 1-6, October.
    • Handle: RePEc:hin:jnlmpe:9769029
    DOI: 10.1155/2021/9769029
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