On Bivariate Birnbaum–Saunders Distribution

References

• Birnbaum, Z. W., & Saunders, S. C. (1969). A new family of life distributions. Journal of Applied Probability, 6, 319–327.
   Web of Science ®Google Scholar
• Chang, D. S., & Tang, L. C. (1993). Reliability bounds and critical time for the Birnbaum—Saunders distribution. IEEE Transactions on Reliability, 42, 464–469.
   Web of Science ®Google Scholar
• Chang, D. S., & Tang, L. C. (1994). Parametric bounds and tolerance limits for the Birnbaum—Saunders distribution. Communications in Statistics - Theory and Methods, 23, 2853–2863.
   Web of Science ®Google Scholar
• Davis, C. (2002). Statistical methods for the analysis of repeated measures. New York: Springer.
   Google Scholar
• Desmond, A. F. (1985). Stochastic models of failure in random environments. Canadian Journal of Statistics, 13, 171–183.
   Web of Science ®Google Scholar
• Desmond, A. F. (1986). On the relationship between two fatigue-life models. IEEE Transactions on Reliability, 35, 167–169.
   Web of Science ®Google Scholar
• Dupuis, D. J., & Mills, J. E. (1998). Robust estimation of the Birnbaum–Saunders distribution. IEEE Transactions on Reliability, 47, 88–95.
   Web of Science ®Google Scholar
• Gupta, R. C., & Akman, O. (1995). On the reliability studies of a weighted inverse Gaussian model. Journal of Statistical Planning and Inference, 48, 69–83.
   Web of Science ®Google Scholar
• Holland, P. W., & Wang, Y. J. (1987). Dependence function for continuous bivariate densities. Communications in Statistics – Theory and Methods, 16, 863–876.
   Web of Science ®Google Scholar
• Joe, H. (2005). Asymptotic efficiency of the two-stage estimation method for copula based method. Journal of Multivariate Analysis, 94, 401–419.
   Web of Science ®Google Scholar
• Johnson, N. L., & Kotz, S. (1975). A vector multivariate hazard rate. Journal of Multivariate Analysis, 5, 53–66.
   Google Scholar
• Johnson, N. L., Kotz, S., & Balakrishnan, N. (1995). Continuous univariate distribution (vol. 2, 2nd ed.). New York: Wiley.
   Google Scholar
• Karlin, S., & Rinott, Y. (1980). Classes of orderings of measures and related correlation inequalities. I. Multivariate totally positive distributions. Journal of Multivariate Analysis, 10, 467–498.
   Web of Science ®Google Scholar
• Kundu, D., Balakrishnan, N., & Jamalizadeh, A. (2010). Bivariate Birnbaum- Saunders distribution and its associated inference. Journal of Multivariate Analysis, 101, 113–125.
   Web of Science ®Google Scholar
• Kundu, D., Balakrishnan, N., & Jamalizadeh, A. (2013). Multivariate Birnbaum- Saunders distribution; Properties, inference and a generalization. Journal of Multivariate Analysis, 116, 230–244.
   Web of Science ®Google Scholar
• Kundu, D., Kannan, N., & Balakrishnan, N. (2008). On the hazard function of Birnbaum—Saunders distribution and associated inference. Computational Statistics & Data Analysis, 52, 2692–2702.
   Web of Science ®Google Scholar
• Meyer, C. (2009). The bivariate normal copula. arXiv:0912.2816[math.PR].
   Google Scholar
• Nelson, R. B. (2006). An introduction to copulas (2nd ed.). New York: Springer.
   Google Scholar
• Ng, H. K. T., Kundu, D., & Balakrishnan, N. (2003). Modified moment estimation for the two-parameter Birnbaum—Saunders distributions. Computational Statistics & Data Analysis, 43, 283–298.
   Web of Science ®Google Scholar
• Ng, H. K. T., Kundu, D., & Balakrishnan, N. (2006). Point and interval estimations for the two-parameter Birnbaum—Saunders distribution based on Type-II censored samples. Computational Statistics & Data Analysis, 50, 3222–3242.
   Web of Science ®Google Scholar
• Rieck, J. R. (1995). Parametric estimation for the Birnbaum—Saunders distribution based on symmetrically censored samples. Communications in Statistics - Theory and Methods, 24, 1721–1736.
   Web of Science ®Google Scholar
• Rieck, J. R. (1999). A moment generating function with application to the Birnbaum–Saunders distribution. Communications in Statistics – Theory and Methods, 28, 2213–2222.
   Web of Science ®Google Scholar
• Shaked, M. (1977). A family of concepts of dependence for bivariate distributions. Journal of the American Statistical Association, 72, 642–650.
   Web of Science ®Google Scholar
• Vasey, M. W., & Thayer, J. F. (1987). The continuing problem of false positives in repeated measures ANOVA in psychophysiology: A multivariate solution. Psychophysiology, 24, 479–486.
   PubMed Web of Science ®Google Scholar
• Zhang, Y., Lu, X., & Desmond, A. F. (2016). Variable selection in a log-linear Birnbaum—Saunders regression model for high dimensional survival data via the elastic-net and stochastic EM. Technometrics, 58, 383–392.
   Web of Science ®Google Scholar