A discrete analogue of generalized Burr-type XII distribution is introduced using a general approach of discretizing a continuous distribution. It may be worth exploring the possibility of developing a discrete version of the six parameter generalized Burr-type XII distribution for use in modeling a discrete data. This distribution is suggested as a suitable reliability model to fit a range of discrete lifetime data, as it is shown that hazard rate function can attain monotonic increasing (deceasing) shape for certain values of parameters. The equivalence of discrete generalized Burr-type XII (DGBD-XII) and continuous generalized Burr-type XII (GBD-XII) distributions has been established. The increasing failure rate property in the discrete setup has been ensured. Various theorems relating this new model to other probability distributions have also been proved.
Para, B. A. and Jan, T. R.
"Discrete Generalized Burr-Type XII Distribution,"
Journal of Modern Applied Statistical Methods: Vol. 13
, Article 13.
Available at: http://digitalcommons.wayne.edu/jmasm/vol13/iss2/13