Module 5:Understanding of applications of renewal theory, Stationary Process with discrete and                continuous parameters

  Lecture 22:Practical Application of Sequential Sampling Procedure
 

Detailed simulation results
Normal Distribution: Table 5.1a shows the first set of simulation runs for SEL loss function for AS vs JC sequential sampling procedures with the following combinations of w=(0.008. 0.010), and m=10. On the other hand Table 5.1b contains the values of the simulation runs considering SEL case, for both BCJ vs BJC sequential sampling schemes with w=(0.008, 0.010),, and m=4 combination set. With a = +0.8 (over estimation being more penalized) the corresponding results for (i) AS vs JC and (ii) BCJ vs BJC are shown in Table 5.2a and Table 5.2b respectively. The combination of parameters used to illustrate these run results (i.e., Table 5.2a and Table 5.2b) are (i) w=(0.004, 0.006), r=(0.6, 0.7, 0.8), m=10 and (ii) w=(0.004, 0.006), , m=4, respectively. For the under estimation case () the simulation results for (i) AS vs JC and (ii) BCJ vs BJC are depicted in Table 5.3a and Table 5.3b respectively. The combinations of parameter set w, r, g and m for  (Table 5.3a and Table 5.3b) are the same as that used in the run results shown in Table 5.2a and Table 5.2b ().

Exponential Distribution: With SEL function, Table 5.4a and Table 5.4b highlight the simulated estimates of different values of interest for AS vs JC (Table 5.4a) and BCJ vs BJC (Table 5.4b) methods respectively. The combinations of parameter choices, used in Table 5.4a are w=(0.009, 0.010),), , m=10. While Table 5.4b shows the runs for the combination w=(0.009, 0.010), ), ,, m=4. The corresponding different values of the estimates, when one considers over estimation, (a=+0.8), for the LINEX loss case, are depicted for the sequential sampling plans AS vs JC in Table 5.5a, for which the parameter combinations are w=(0.002, 0.003), , m=10. On the other for BCJ vs BJC sequential sampling plans, which are depicted in Table 5.5b, the corresponding parameter set is w=(0.001, 0.002), ,, m=4. Furthermore Table 5.6a and Table 5.6b show the synopsis of the simulation results when a=-1.0, for the multi stage sampling methodologies, AS vs JC and BCJ vs BJC, respectively. The w, g, r and m values for these are the same as those for the LINEX loss overestimation instance (a=+0.8), i.e., Tables 5.5a and Table 5.5b.