Module 5:Understanding of applications of renewal theory, Stationary Process with discrete and                continuous parameters
  Lecture 20:New Multi-Stage Sampling Procedure
 


So if we consider BCJ1 as illustrated in the diagram above, i.e., Figure 5.2, then we need to find , usingits estimate R1. 's ,, are the corresponding values of percentage of the ith batch itself,i.e., till which stage in that ith batch we continue sampling taking one at a time observation, i.e., continue using the purely sequential sampling methodology. This effectively means we continue the purelysequential sampling methodology till the  stage in each of the  batch. After that, one jumps at one go to estimate . Thus the procedure works as follows. Start with a sample size of  and for each batch follow the crawl and jump sampling rule according to the scheme given below

batch # 1
 

batch # 2

 
batch # k-1
 

.

.

 

 
and    
batch # k
 
Once sampling stops, we calculate the sample estimator, . We must remember that  and  estimate the values of  and D respectively. In choosing values of the basic idea about the efficiency of the sampling results versus cost of sampling is similar in line to that mentioned for Jump crawl (JC) sequential sampling technique.