References
- Ahmed, S. E., Castro–Kuriss, C., Flores, E., Leiva, V., Sanhueza, A. (2010). A truncated version of the Birnbaum–Saunders distribution with an application in financial risk. Pak. J. Statist. 26:293–311.
- Azzalini, A. (1985). A class of distributions which includes the normal ones. Scand. J. Statist. 12:171–178.
- Azzalini, A., Capitanio, A. (2003). Distributions generated by perturbation of symmetry with emphasis on a multivariate skew–t distribution. J. Roy. Statist. Soc. B 65:367–389.
- Azzalini, A. (2005). The skew–normal distribution and related multivariate families. Scand. J. Statist. 32:159–188.
- Azevedo, C., Leiva, V., Athayde, E., Balakrishnan, N. (2012). Shape and change point analyses of the Birnbaum–Saunders–t hazard rate and associated estimation. Comp. Statist. Data Anal. 56:3887–3897.
- Balakrishnan, N., Leiva, V., Lopez, J. (2007). Acceptance sampling plans from truncated life tests from generalized Birnbaum–Saunders distribution. Commun. Statist. Simul. Comp. 36:643–656.
- Balakrishnan, N., Leiva, V., Sanhueza, A., Cabrera, E. (2009a). Mixture inverse Gaussian distribution and its transformations, moments and applications. Statistics 43:91–104.
- Balakrishnan, N., Leiva, V., Sanhueza, A., Vilca, F. (2009b). Estimation in the Birnbaum–Saunders distribution based on scale–mixture of normals and the EM algorithm. Statist. Oper. Res. Trans. 33:171–192.
- Barros, M., Paula, G. A., Leiva, V. (2008). A new class of survival regression models with heavy–tailed errors: robustness and diagnostics. Lifetime Data Anal. 14:316–332.
- Barros, M., Paula, G. A., Leiva, V. (2009). An R implementation for generalized Birnbaum–Saunders distributions. Comp. Statist. Data Anal. 53:1511–1528.
- Behboodian, J., Jamalizadeh, A., Balakrishnan, N. (2006). A new class of skew–Cauchy distributions. Statist. Prob. Lett. 76:1488–1493.
- Birnbaum, Z., Saunders, S. (1969). A new family of life distributions. J. Appl. Probab. 6:637–652.
- Branco, M. D., Genton, M. G., Liseo, B. (2012). Objective Bayesian analysis of skew–t distributions. Scand. J. Statist. 40:63–85.
- Díaz–García, J., Leiva, V. (2005). A new family of life distributions based on the contoured ellipticly distributions. J. Statist. Plann. Infer. 128:445–457.
- Fang, K., Kotz, S., Ng, K. (1990). Symmetric Multivariate and Related Distribution. London: Chapman & Hall.
- Ferreira, M., Gomes, M. I., Leiva, V. (2012). On an extreme value version of the Birnbaum–Saunders distribution. Revstat Statist. J. 10:181–210.
- Genton, M. G. (2004). Skew–Elliptical Distributions and Their Applications: A Journey Beyond Normality. Boca Raton, FL: Chapman and Hall/CRC Press.
- Gómez, H. W., Olivares, J., Bolfarine, H. (2009). An extension of the generalized Birnbaum–Saunders distribution. Statist. Prob. Lett. 79:331–338.
- Guiraud, P., Leiva, V., Fierro, R. (2009). A non–central version of the Birnbaum–Saunders distribution for reliability analysis. IEEE Trans. Rel. 58:152–160.
- Gupta, A. K., Varga, T. (1993). Elliptically Contoured Models in Statistics. Dordrecht: Kluwer.
- Johnson, N. L., Kotz, S., Balakrishnan, N. (1995). Continuous Univariate Distributions. New York: Wiley.
- Jamalizadeh, A., Khosravi, M., Balakrishnan, N. (2009a). Recurrence relations for distributions of a skew–t and a linear combination of order statistics from a bivariate t. Comp. Statist. Data Anal. 53:847–852.
- Jamalizadeh, A., Mahmoodian, H., Balakrishnan, N. (2009b). Exact distribution of a linear combination of a variable and order statistics from the other two variables of a trivariate elliptic random vector as a mixture of skew–elliptic distributions. Statist. Meth. 6:634–644.
- Kundu, D., Kannan, N., Balakrishnan, N. (2008). On the hazard function of Birnbaum–Saunders distribution and associated inference. Comp. Statist. Data Anal. 52:2692–2702.
- Leiva, V., Barros, M., Paula, G. A., Galea, M. (2007). Influence diagnostics in log–Birnbaum–Saunders regression models with censored data. Comp. Statist. Data Anal. 51:5694–5707.
- Leiva, V., Barros, M., Paula, G. A., Sanhueza, A. (2008a). Generalized Birnbaum–Saunders distributions applied to air pollutant concentration. Environmetrics 19:235–249.
- Leiva, V., Sanhueza, A., Angulo, J. M. (2009). A length–biased version of the Birnbaum–Saunders distribution with application in water quality. Stoch. Environ. Res. Risk. Assess. 23:299–307.
- Leiva, V., Sanhueza, A. Kotz, S., Araneda, N. (2010a). A unified mixture model based on the inverse gaussian distribution. Pak. J. Statist. 26:445–460.
- Leiva, V., Vilca, F., Balakrishnan, N., Sanhueza, A. (2010b). A skewed sinh–normal distribution and its properties and application to air pollution. Commun. Statist. Theor. Meth. 39:426–443.
- Leiva, V., Athayde, E., Azevedo, C., Marchant, C. (2011). Modeling wind energy flux by a Birnbaum–Saunders distribution with unknown shift parameter. J. Appl. Statist. 38:2819–2838.
- Leiva, V., Ponce, M. G., Marchant, C., Bustos, O. (2012). Fatigue statistical distributions useful for modeling diameter and mortality of trees. Col. J. Statist. 35:349–367.
- Leiva, V., Santos-Neto, M., Cysneiros, F. J. A., Barros, M. (2014). Birnbaum–Saunders statistical modelling: a new approach. Statist. Mod. 14:21–48.
- Marchant, C., Leiva, V., Cavieres, M. F., Sanhueza, A. (2013a). Air contaminant statistical distributions with application to PM10 in Santiago, Chile. Rev. Environ. Contam. Tox. 223:1–31.
- Marchant, C., Bertin, K., Leiva, V., Saulo, H. (2013b). Generalized Birnbaum-Saunders kernel density estimators and an analysis of financial data. Comp. Statist. Data Anal. 63:1–15.
- Paula, G. A., Leiva, V., Barros, M., Liu, S. (2012). Robust statistical modeling using the Birnbaum–Saunders–t distribution applied to insurance. Appl. Stoch. Mod. Bus. Ind. 28:16–34.
- Sanhueza, A., Leiva, V., Balakrishnan, N. (2008). The generalized Birnbaum–Saunders distribution and its theory, methodology and application. Commun. Statist. Theor. Meth. 37:645–670.
- Santos–Neto, M., Cysneiros, F. J. A. Leiva, V., Ahmed, S. E. (2012). On new parameterizations of the Birnbaum–Saunders distribution. Pak. J. Statist. 28:1–26.
- Vilca, F., Leiva, V. (2006). A new fatigue life model based on the family of skew–elliptical distributions. Commum. Statist. Theor. Meth. 35:229–244.
- Vilca, F., Sanhueza, A., Leiva, V., Christakos, G. (2010). An extended Birnbaum-Saunders model and its application in the study of environmental quality in Santiago, Chile. Stoch. Environ. Res. Risk. Assess. 24:771–782.
- Vilca, F., Santana, L., Leiva, V., Balakrishnan, N. (2011). Estimation of extreme percentiles in Birnbaum–Saunders distributions. Comp. Statist. Data Anal. 55:1665–1678.