Abstract
A discrete two-parameter distribution corresponding to the continuous distribution is introduced and derived by using the approach of discretization of continuous distribution functions . The Survival and Hazard functions of the proposed distribution were also found and examined . Two methods were discussed to estimate the parameters , Maximum Likelihood and the Bayesian method , and then compare the performance using the simulation method . In addition, the compatibility of the proposed distribution was investigated through real data , and then the estimates of the survival and Hazard functions were reached . The superiority of the Bayesian method in data modelling was shown .
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