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Research Article

Exact statistical inferences for the median of the Birnbaum–Saunders distribution

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Pages 567-578 | Received 02 Oct 2020, Accepted 08 Aug 2021, Published online: 27 Aug 2021

References

  • Birnbaum ZW, Saunders SC. A new family of life distributions. J Appl Probab. 1969;6(2):319–327.
  • Birnbaum ZW, Saunders SC. Estimation for a family of life distributions with applications to fatigue. J Appl Probab. 1969;6(2):328–347.
  • Desmond AF. Stochastic models of failure in random environments. Canad J Statist. 1985;13(3):171–183.
  • Engelhardt M, Bain LJ, Wright FT. Inferences on the parameters of the Birnbaum–Saunders fatigue life distribution based on maximum likelihood estimation. Technometrics. 1981;23(3):251–256.
  • Ng HKT, Kundu D, Balakrishnan N. Modified moment estimation for the two-parameter Birnbaum–Saunders distribution. Comput Statist Data Anal. 2003;43(3):283–298.
  • Wu J, Wong ACM. Improved interval estimation for the two-parameter Birnbaum–Saunders distribution. Comput Statist Data Anal. 2004;47(4):809–821.
  • Lemonte AJ, Cribari-Neto F, Vasconcellos KLP. Improved statistical inference for the two-parameter Birnbaum–Saunders distribution. Comput Statist Data Anal. 2007;51(9):4656–4681.
  • Wang M, Zhao J, Sun X, et al. Robust explicit estimation of the two-parameter Birnbaum–Saunders distribution. J Appl Stat. 2013;40(10):2259–2274.
  • Balakrishnan N, Kundu D. Birnbaum–Saunders distribution: a review of models, analysis, and applications. Appl Stochastic Models Bus Ind. 2019;35(1):4–49.
  • Bourguignon M, Ho LL, Fernandes FH. Control charts for monitoring the median parameter of Birnbaum–Saunders distribution. Qual Reliab Engng Int. 2020;36(4):1333–1363.
  • Chang D, Tang L. Percentile bounds and tolerance limits for the Birnbaum–Saunders distribution. Commun Statist Theor Meth. 1994;23(10):2853–2863.
  • Chang D, Tang L. Random number generator for the Birnbaum–Saunders distribution. Comput Ind Eng. 1994;27(1–4):345–348.
  • Rieck JR. A comparison of two random number generators for the Birnbaum–Saunders distribution. Commun Statist Theor Meth. 2003;32(5):929–934.
  • Rieck JR, Nedelman JR. A log-linear model for the Birnbaum–Saunders distribution. Technometrics. 1991;33(1):51–60.
  • From SG, Li L. Estimation of the parameters of the Birnbaum–Saunders distribution. Commun Statist Theor Meth. 2006;35(12):2157–2169.

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