Let T_i is the survival time for individual i (i=1,2,\ldots, n) and C_i be the time to censoring. Let U_i=\min(T_i,C_i). And \hat S(U_i) is the Kaplan-Meier estimator for the censoring distribution. Suppose R_i and Z_i are two indicator functions. Also,p is a probability. Consider the following...