###sigma_err_Estimate gives the desired sigma_err with respect SNR that will be used in Simulation_cor2_est_parallel
###Simulation_cor2_est_parallel gives one batch of B=2 replications of result. 
###combined_parallel_result gives 1000 replications of results in Table 1 in Section 5 and Table 1-23 in Appendix B.
### revision.R and combined_revision.R give results in Table 24-31 in Appendix C and D.