Intro to Statistical Learning (2nd Ed), Solution to Problem 11.6c
Q11.6c:
This problem makes use of the data displayed in Figure 11.1.
In completing this problem, you can refer to the observation times as y1,...,y4 . The ordering of these observation times can be seen from Figure 11.1; their exact values are not required.
(a) Report the values of δ1,...,δ4 , K , d1,...,dK , r1,...,rK , and q1,...,qK . The relevant notation is defined in Sections 11.1 and 11.3.
(b) Sketch the Kaplan-Meier survival curve corresponding to this data set. (You do not need to use any software to do this — you can sketch it by hand using the results obtained in (a).)
(c) Based on the survival curve estimated in (b), what is the probability that the event occurs within 200 days? What is the probability that the event does not occur within 310 days?
(d) Write out an expression for the estimated survival curve from (b).
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