For a component A, you have the following failure time data: (days) 28, 112, 15, 8, 27, 21, 22, 48, 28, 73.
A) Suppose you have reason to believe that the hazard rate is increasing over time. What distribution is appropriate to describe the failure time component of A? What does the increasing hazard rate suggest in terms of parameter values?
B) Fit the distributin you suggested in part A to the data without using maximum likelihood estimation. Show your work step by step and report the output for each step?