Module :Understanding of applications of renewal theory, Stationary Process with discrete and               continuous parameters
  Lecture 19:Application of Renewal Theory
 

 

Jump crawl (JC) sequential sampling technique: To illustrate the jump crawl sequential sampling methodology we first give the schematic diagram of the procedure in Figure 5.1.

Figure 5.1: Jump crawl (JC) sequential sampling technique

The methodology works as follows. We start with an initial sample of size,  and also choose a value of . After that we jump by collecting a large sample of observations at one go to estimate  (using R), keeping in mind that, . Once  is estimated we check whether we have completed our sampling procedure. If not, we proceed purely sequentially, i.e., take one observation at a time following the rule . Finally the random sample,  is found which estimates, . One should be aware that the choice of depends on the compromise one makes between efficiency of the result versus ease of sampling. A high value of means we reduce our sampling effort but at a cost which results in a larger value of the estimated sample size, N. On the other hand for a low , the reverse holds true where N as well as the estimate results are close to the optimal value but the effort one spends in conducting the experiment is high.