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Original Articles

Topp–Leone generated family of distributions: Properties and applications

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Pages 2893-2909 | Received 08 Nov 2014, Accepted 14 May 2015, Published online: 11 Apr 2016

References

  • Alzaatreh, A., Lee, C., Famoye, F. (2013). A new method for generating families of continuous distributions. Metron 71:63–79.
  • Amini, M., MirMostafaee, S.M.T.K., Ahmadi, J. (2014). Log-gamma-generated families of distributions. Statistics 48:913–932.
  • Andrews, D., Herzberg, A. (1985). Data: A Collection of Problems from Many Fields for the Student and Research Worker. New York: Springer Verlag.
  • Cordeiro, G.M., de Castro, M. (2011). A new family of generalized distributions. J. Stat. Comput. Simul. 81:883–898.
  • Cordeiro, G.M., Nadarajah, S., Ortega, E.M. (2012). The Kumaraswamy Gumbel distribution. Stat. Methods Appl. 21:139–168.
  • Cordeiro, G.M., Ortega, E.M., da Cunha, D.C. (2013). The exponentiated generalized class of distributions. J. Data Sci. 11:1–27.
  • Cox, D.R., Hinkley, D.V. (1979). Theoretical Statistics. London: Chapman and Hall.
  • Demiris, N., Lunn, D., Sharples, L.D. (2011). Survival extrapolation using the poly-Weibull model. Stat. Methods Med. Res.doi: 10.1177/0962280211419645.
  • Doornik, J.A.O.M. (2007). Introduction to Ox: An Object-Oriented Matrix Programming Language. London: Timberlake Consultants.
  • Ferguson, T.S. (1996). A Course in Large Sample Theory. London: Chapman and Hall.
  • Genc, A. (2012). Moments of order statistics of Topp Leone distribution. Stat. Pap. 51:1–15.
  • Genc, A. (2013). Estimation of the Prob(X > Y) with Topp Leone distribution. J. Stat. Comput. Simul. 83:326–339.
  • Ghitany, M.E., Kotz, S., Xie, M. (2005). On some reliability measures and their stochastic orderings for the Topp Leone distribution. J. Appl. Stat. 32:715–722.
  • Kotz, S., Seier, E. (2007). Kurtosis of the Topp Leone distributions. Interstat1–15.
  • Lehmann, E.L., Casella, G. (1998). Theory of Point Estimation, 2nd Edn. New York: Springer Verlag.
  • Marshall, A.W., Olkin, I. (2007). Life Distributions: Structure of Nonparametric, Semiparametric and Parametric Families. New York: Springer Verlag.
  • Mueller, H.G., Wang, J.L. (1994). Hazard rates estimation under random censoring with varying kernels and bandwidths. Biometrics 50:61–76.
  • Nadarajah, S., Kotz, S. (2003). Moments of some J-shaped distributions. J. Appl. Stat. 30:311–317.
  • Ristić, M.M., Nadarajah, S. (2014). A new lifetime distribution. J. Stat. Comput. Simul. 84:135–150.
  • Sindhu, T.N., Saleem, M., Aslam, M. (2013). Bayesian estimation for Topp Leone distribution under trimmed samples. J. Basic Appl. Sci. Res. 3:347–360.
  • Topp, C.W., Leone, F.C. (1955). A family of J-shaped frequency functions. J. Am. Stat. Assoc. 50:209–219.
  • Upadhyay, S.K., Gupta, A., Dey, D.K. (2012). Bayesian modeling of bathtub shaped hazard rate using various Weibull extensions and related issues of model selection. Sankhyā B 74:15–43.
  • Vicari, D., van Dorp, J.R., Kotz, S. (2008). Two-sided generalized Topp and Leone (TS-GTL) distributions. J. Appl. Stat. 35:1115–1129.
  • Zghoul, A.A. (2011). Record values from a family of J-shaped distributions. Statistica 71:355–365.
  • Zhou, M., Yang, D.W., Wang, Y., Nadarajah, S. (2006). Some J-shaped distributions: Sums, products and ratios. In: Proceedings of the Annual Reliability and Maintainability Symposium, pp. 175–181.

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