Question: 8. Consider two renewal processes: and whose interarrival distributions are discrete with, respective, hazard rate functions and . For any set of points A, let

8. Consider two renewal processes: and whose interarrival distributions are discrete with, respective, hazard rate functions and . For any set of points A, let and denote, respectively, the numbers of renewals that occur at time points in A for the two processes. If for all i and either or is decreasing, show that for any A.

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