References
- Eryılmaz S. 2017. A new class of bivariate lifetime distributions. Communications in Statistics-Theory and Methods. Vol. 46(24), 12324-12335.
- Marshall A.W., Olkin I. 1997. A new method of adding a parameter to a family of distributions with application to the exponential and Weibull families, Biometrika 84 641–652
- Li X., Zuo M.J. 2004. Preservation of stochastic orders for random minima and maxima with applications, Nav. Res. Logist., 51, 332-344.
- Ahmad I., Kayid M. 2007. Reversed preservation of stochastic orders for random minima and maxima with applications, Statistical Papers, 48, 283-293.
- Kundu D., Gupta R.D. 2014.On bivariate Weibull-geometric distribution, Journal of Multivariate Analysis, 123, 19-29.
- Miaomiao Y., Yinghui T., Wenqing W., Jie Z. 2014. Optimal order-replacement policy for a phase-type geometric process model with extreme shocks. Applied Mathematical Modelling. Vol: 38. 4323–4332
- Haijun L. 2003. Association of multivariate phase-type distributions, with applications to shock models. Statistics & Probability Letters Vol:64, 381–392.
- Mai J.F., Scherer M. and Shenkman N. 2013. Multivariate geometric distributions, (logarithmically) monotone sequences, and infinitely divisible laws. Journal of Multivariate Analysis 115 457–480.
- Arnold B.C. 1975. A characterization of the exponential distribution by multivariate geometric compounding, Sankhy¯a: The Indian Journal of Statistics 37 (1) 164–173.
- Marshall A.W., Olkin I. 1967. A multivariate exponential distribution, Journal of the American Statistical Association 62 (317) 30–44.
- Marshall A.W., Olkin I. 1995. Multivariate exponential and geometric distributions with limited memory, Journal of Multivariate Analysis 53 110–125.
- Nair N.U., Asha G. 1997. Some classes of multivariate life distributions in discrete time, Journal of Multivariate Analysis 62 181–189.
- Jayakumar K. and Mundassery D.A. 2007. On Bivariate Geometric Distribution. Statistica. Vol. 67 (4). 389–404.
- Krishna H. and Singh P. 2009. A Bivariate Geometric Distribution with Applications to Reliability.
- Klein, M. 1962. Inspection-maintenance-replacement schedules under Markovian deterioration. Management Science, V. 9, No. 1, pp. 25-32.
- Barlow R.E. and Proschan F. 1965. Mathematical theory of reliability. John Wiley& Sons, Inc., New York, NY, 1965.