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Original Articles

New results on the Ristić–Balakrishnan family of distributions

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Pages 6969-6988 | Received 24 Jul 2014, Accepted 25 Sep 2014, Published online: 03 Sep 2016

References

  • Alexander, C., Cordeiro, G.M., Ortega, E.M.M., Sarabia, J.M. (2012). Generalized beta-generated distributions. Comput. Stat. Data Anal. 56:1880–1897.
  • Alzaatreh, A., Lee, C., Famoye, F. (2013). A new method for generating families of distributions. Metron 71:63–79.
  • Bourguignon, M., Silva, R.B., Cordeiro, G.M. (2014). The Weibull-G family of probability distributions. J. Data Sci. 12:53–68.
  • Cordeiro, G.M., de Castro, M. (2011). A new family of generalized distributions. J. Stat. Comput. Simul. 81:883–898.
  • Eugene, N., Lee, C., Famoye, F. (2002). Beta-normal distribution and its applications. Commun. Stat.-Theory Methods 31:497–512.
  • Flajonet, P., Odlyzko, A. (1990). Singularity analysis of generating function. SIAM: SIAM J. Discr. Math. 3:216–240.
  • Flajonet, P., Sedgewick, R. (2009). Analytic Combinatorics. Cambridge University Press.
  • Ghosh, S. (2013). Normality testing for a long-memory sequence using the empirical moment generating function. J. Stat. Plann. Inference 143:944–954.
  • Gradshteyn, I.S., Ryzhik, I.M. (2007). Table of Integrals, Series, and Products (7th ed.). San Diego, CA: Academic Press.
  • Gupta, R.C., Gupta, P.L., Gupta, R.D. (1998). Modeling failure time data by Lehman alternatives. Commun. Stat.-Theory Methods 27:887–904.
  • Gupta, R.D., Kundu, D. (1999). Generalized exponential distributions. Aust. N. Z. J. Stat. 41:173–188.
  • Kakde, C.S., Shirke, D.T. (2006). On exponentiated lognormal distribution. Int. J. Agric. Stat. Sci. 2:319–326.
  • Lemonte, A.J. (2014). The beta log-logistic distribution. Braz. J. Probab. Stat. 28:313–332.
  • Meintanis, S.G. (2010). Testing skew normality via the moment generating function. Math. Methods Stat. 19:64–72.
  • Mudholkar, G.S., Srivastava, D.K. (1993). Exponentiated Weibull family for analyzing bathtub failure-rate data. IEEE Trans. Reliab. 42:299–302.
  • Mudholkar, G.S., Srivastava, D.K., Freimer, M. (1995). The exponentiated Weibull family: a reanalysis of the bus-motor-failure data. Technometrics 37:436–445.
  • Murthy, D.N.P., Xie, M., Jiang, R. (2004). Weibull Models. Hoboken, NJ: John Wiley and Sons.
  • Nadarajah, S. (2005). The exponentiated Gumbel distribution with climate application. Environmetrics 17:13–23.
  • Nadarajah, S., Cordeiro, G.M., Ortega, E.M.M. (2013). The exponentiated Weibull distribution: a survey. Stat. Pap. 54:839–877.
  • Nadarajah, S., Kotz, S. (2006). The exponentiated type distributions. Acta Appl. Math. 92:97–111.
  • Prudnikov, A.P., Brychkov, Y.A., Marichev, O.I. (1986). Integrals and Series (Vols. 1–3). Amsterdam: Gordon and Breach Science Publishers.
  • Ramos, M.W.A.R., Cordeiro, G.M., Marinho, P.R.D., Dias, C.R.B., Hamedani, G.G. (2013). The Zografos-Balakrishnan log-logistic distribution: properties and applications. J. Stat. Theory Appl. 12:225–244.
  • Ristić, M.M., Balakrishnan, N. (2012). The gamma exponentiated exponential distribution. J. Stat. Comput. Simul. 82:1191–1206.
  • Santana, T.V.F., Ortega, E.M.M., Cordeiro, G.M., Silva, G.O. (2012). The Kumaraswamy-log-logistic distribution. J. Stat. Theory Appl. 11:265–291.
  • Steinbrecher, G. (2002). Taylor expansion for inverse error function around origin. Working Paper. University of Craiova.
  • Tahir, M.H., Nadarajah, S. (2014). Parameter induction in continuous univariate distributions – part I: well-established G-classes. Unpublished Paper.
  • Zografos, K., Balakrishnan, N. (2009). On families of beta- and generalized gamma-generated distributions and associated inference. Stat. Methodol. 6:344–362.

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