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Regression Models According to Birnbaum-Saunders Distribution

Author

Listed:
  • Mohamad Nasim Wafa
  • Ziauddin Zia
  • Sayed Abdul Moqim Hussaini

Abstract

The Birnbaum–Saunders Distribution (BSD) is a positive Chile distribution that is often used to analyze life span data. Today, Birnbaum Sanders Distribution (BSD) has gained increasing popularity in various fields such as air pollution, business, earth sciences, industry and medicine. BSD is a special model due to its specificity. We have presented some results of reconstructed version of the BS distribution and a method of generating random numbers from this distribution. This article examines three regression models according on Birnbaum-Sanders distribution. The first model is derived from the distribution. The second model is derived from parameter re-averaging. The third model is derived through the logarithmic transformation of the response variable. The main purpose of this article is to compare the performance of three Birnbaum-Sanders regression models. Finally, an example of genuine data is presented to compare the regression models.

Suggested Citation

  • Mohamad Nasim Wafa & Ziauddin Zia & Sayed Abdul Moqim Hussaini, 2023. "Regression Models According to Birnbaum-Saunders Distribution," European Journal of Mathematics and Statistics, European Open Science, vol. 4(6), pages 24-30, November.
    • Handle: RePEc:epw:ejmath:v:4:y:2023:i:6:id:14267
    DOI: 10.24018/ejmath.2023.4.6.267
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