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Original Articles

A new class of bivariate lifetime distributions

Pages 12324-12335 | Received 09 Mar 2016, Accepted 09 Feb 2017, Published online: 06 Sep 2017

References

  • Adamidis, K., and S. Loukas. 1998. A lifetime distribution with decreasing failure rate. Statistics and Probability Letters 39:35–42.
  • Ahmad, I., and M. Kayid. 2007. Reversed preservation of stochastic orders for random minima and maxima with applications. Statistical Papers 48:283–93.
  • Bartoszewicz, J. 2001. Stochastic comparisons of random minima and maxima from life distributions. Statistics and Probability Letters 55:107–12.
  • Dimitrakopouloua, T., K. Adamidis, and S. Loukas. 2012. Bivariate extended exponential-geometric distributions. Communications in Statistics-Theory and Methods 41:1129–50.
  • Eisele, K.-T. 2006. Recursions for compound phase distributions. Insurance: Mathematics & Economics 38:149–56.
  • Eisele, K.-T. 2008. Recursions for multivariate compound phase variables. Insurance: Mathematics & Economics 42:65–72.
  • Eryilmaz, S. 2016. A new class of lifetime distributions. Statistics & Probability Letters 112:63–71.
  • He, Q.-M. 2014. Fundamentals of matrix-analytic methods. New York: Springer.
  • Kundu, D., and R. D. Gupta. 2014. On bivariate Weibull-geometric distribution. Journal of Multivariate Analysis 123:19–29.
  • Li, X., and M. J. Zuo. 2004. Preservation of stochastic orders for random minima and maxima with applications. Naval Research Logistics 51:332–44.
  • Marshall, A. W., and I. Olkin. 1997. A new method of adding a parameter to a family of distributions with application to the exponential and Weibull families. Biometrika 84:641–52.
  • Neuts, M. F. 1981. Matrix-geometric solutions in stochastic models: An algorithmic approach. The Baltimore: Johns Hopkins University Press.
  • Omey, E. 1990. Random sums of random vectors. Publications de l’Inst. Math. NS 48:191–8.
  • Pellerey, F. 1999. Stochastic comparisons for multivariate shock models. Journal of Multivariate Analysis 71:42–55.
  • Pinsky, M. A., and S. Karlin. 2011. An introductionto stochastic modeling. Burlington, USA: Elsevier.
  • Shaked, M., and T. Wong. 1997. Stochastic comparisons of random minima and maxima. Journal of Applied Probability 34:420–5.

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