  This paper presents inferences for the discrete Bilal (DB) distribution
introduced by Altun et al. (2020). We consider parameter estimation for DB
distribution in the presence of randomly right-censored data.We use maximum
likelihood and Bayesian methods for the estimation of the model parameters. We
also consider the inclusion of a cure fraction in the model. The usefulness of
the proposed model was illustrated with three examples considering real
datasets. These applications suggested that the model based on DB distribution
performs at least as good as some other traditional discrete models as the
DsFx-I, discrete Lindley, discrete Rayleigh, and discrete Burr- Hatke
distributions. R codes are provided in an appendix at the end of the paper so
that reader can carry out their own analysis.
