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Original Articles

A new generalized weighted Weibull distribution with decreasing, increasing, upside-down bathtub, N-shape and M-shape hazard rate

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Pages 2978-2993 | Received 11 Jun 2015, Accepted 22 Nov 2016, Published online: 14 Dec 2016

References

  • S.J. Almalki and S. Nadarajah, Modifications of the Weibull distribution: A review, Reliab. Eng. Syst. Saf. 124 (2014), pp. 32–55.
  • S.J. Almalki and J. Yuan, A new modified Weibull distribution, Reliab. Eng. Syst. Saf. 111 (2013), pp. 164–170.
  • B.C. Arnold and R.J. Beaver, Hidden truncation models, Sankhyā 62 (2000), pp. 23–35.
  • A. Azzalini, A class of distributions which includes the normal ones, Scand. J. Stat. 12 (1985), pp. 171–178.
  • M. Bebbington, C.D. Lai, D.N.P. Murthy, and R. Zitikis, Modelling N- and W-shaped hazard rate functions without mixing distributions, Proc. Inst. Mech. Eng. Part O, J. Risk Reliab. 223 (2009), pp. 59–69.
  • M. Bebbington, C.-D. Lai, and R. Zitikis, A flexible Weibull extension, Reliab. Eng. Syst. Saf. 92 (2007), pp. 719–726.
  • B. Bergman and B. Klefsjö, The total time on test concept and its use in reliability theory, Oper. Res. 32 (1984), pp. 596–606.
  • J.M.F. Carrasco, E.M.M. Ortega, and G.M. Cordeiro, A generalized modified Weibull distribution for lifetime modeling, Comput. Stat. Data Anal. 53 (2008), pp. 450–462.
  • G.M. Cordeiro and A.J. Lemonte, On the Marshall–Olkin extended Weibull distribution, Statist. Papers 54 (2013), pp. 333–353.
  • D.R. Cox and P.A.W. Lewis, The Statistical Analysis of Series of Events, Methuem, London, 1966.
  • J. Denrell and Z. Shapira, Performance sampling and bimodal duration dependence, J. Math. Sociol. 33 (2008), pp. 38–63.
  • S. Dey, T. Dey, and M.Z. Anis, Weighted Weibull Distribution: Properties and Estimation, J. Stat. Theory Pract. 9 (2015), pp. 250–265.
  • F. Domma, B.V. Popović, and S. Nadarajah, An extension of Azzalini's method, J. Comput. Appl. Math. 278 (2015), pp. 37–47.
  • I.S. Gradshteyn and I.M. Ryzhik, Table of Integrals, Series, and Products, Academic Press, San Diego, 2000.
  • F. Hemmati, E. Khorram, and S. Rezakhah, A new three-parameter ageing distribution, J. Stat. Plann. Inference 141 (2011), pp. 2266–2275.
  • B. Jørgensen, Statistical Properties of the Generalized Inverse Gaussian Distribution, Springer, New York, 1982.
  • C.D. Lai, Generalized Weibull Distributions, Springer, Heidelberg, 2014.
  • M. Mahdy, A class of weighted Weibull distributions and its properties, Stud. Math. Sci. 6 (2013), pp. 35–45.
  • A.W. Marshall and I. Olkin, A new method for adding a parameter to a family of distributions with application to the exponential and Weibull families, Biometrika 84 (1997), pp. 641–652.
  • D.N.P. Murthy, M. Xie, and R. Jiang, Weibull Models, Wiley, Hoboken, NJ, 2004.
  • S. Shahbaz, M.Q. Shahbaz, and N.S. Butt, A class of weighted Weibull distribution, Pakistan J. Stat. Oper. Res. 6 (2010), pp. 53–59.
  • D.M. Titterington, A.F.M. Smith, and U.E. Makov, Statistical Analysis of Finite Mixture Distributions, Wiley, New York, 1985.
  • T. Zhang and R. Dwight, Choosing an optimal model for failure data analysis by graphical approach, Reliab. Eng. Syst. Saf. 115 (2013), pp. 111–123.
  • T. Zhang and M. Xie, Failure data analysis with extended Weibull distribution, Commun. Stat. Simul. Comput. 36 (2007), pp. 579–592.

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