The traditional hazard estimator does not incorporate any assumption regarding its shape. In some application, this might not be suitable due to some perspective that the hazard should be monotone decreasing. For example, when estimating the hazard of patients with Myocardial Infarction (MI) in AMC hospital, it is believed that the hazard of getting a subsequent MI or cardiac death is decreasing over time. The goal in this research is to investigate whether the assumption of decreasing hazard in those patients are reasonable. For that purpose, we need to find a new estimator that incorporates the assumption of decreasing hazard. In the end, we compare the performance of the traditional and the new estimator so as to conclude which one is the better estimator.