In this paper, some inferential estimates are determined from a doubly
censored sample, which follow the half normal model. A simulation study is conducted to
illustrate the predictive results for a future response. A real life survival data study of 25
patients who were diagnosed with leukemia at a local hospital is utilized to illustrate the
predictive results. The survival days of 19 patients with leukemia are used only for the
statistical analysis. Six patients out of 25 patients were lost to follow-up, and they are the
first three and the last three patients in the recorded sample. The survival days of the
patients were recorded in order. The Bayesian sensitivity of the predictive survival days
with respect to several values of the hyperparameter are reported. The summary results
of the posterior parameter and hyperparameters are given by using of the Markov Chain
Monte Carlo method.