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On a length-biased Birnbaum-Saunders regression model applied to meteorological data

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Listed:
  • Kessys L. P. Oliveira
  • Bruno S. Castro
  • Helton Saulo
  • Roberto Vila

Abstract

The length-biased Birnbaum-Saunders distribution is both useful and practical for environmental sciences. In this paper, we initially derive some new properties for the length-biased Birnbaum-Saunders distribution, showing that one of its parameters is the mode and that it is bimodal. We then introduce a new regression model based on this distribution. We implement the maximum likelihood method for parameter estimation, approach interval estimation and consider three types of residuals. An elaborate Monte Carlo study is carried out for evaluating the performance of the likelihood-based estimates, the confidence intervals and the empirical distribution of the residuals. Finally, we illustrate the proposed regression model with the use of a real meteorological data set.

Suggested Citation

  • Kessys L. P. Oliveira & Bruno S. Castro & Helton Saulo & Roberto Vila, 2023. "On a length-biased Birnbaum-Saunders regression model applied to meteorological data," Communications in Statistics - Theory and Methods, Taylor & Francis Journals, vol. 52(19), pages 6916-6935, October.
    • Handle: RePEc:taf:lstaxx:v:52:y:2023:i:19:p:6916-6935
    DOI: 10.1080/03610926.2022.2037642
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