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Improved Likelihood Inference in Birnbaum-Saunders Regressions

Methodology 2009-11-25 v2

Abstract

The Birnbaum-Saunders regression model is commonly used in reliability studies. We address the issue of performing inference in this class of models when the number of observations is small. We show that the likelihood ratio test tends to be liberal when the sample size is small, and we obtain a correction factor which reduces the size distortion of the test. The correction makes the error rate of he test vanish faster as the sample size increases. The numerical results show that the modified test is more reliable in finite samples than the usual likelihood ratio test. We also present an empirical application.

Keywords

Cite

@article{arxiv.0806.2208,
  title  = {Improved Likelihood Inference in Birnbaum-Saunders Regressions},
  author = {Artur J. Lemonte and Silvia L. P. Ferrari and Francisco Cribari-Neto},
  journal= {arXiv preprint arXiv:0806.2208},
  year   = {2009}
}

Comments

17 pages, 1 figure

R2 v1 2026-06-21T10:50:14.868Z