“…Simulation allows comparison of analytical techniques and helps in concluding whether a newly developed technique is better than the existing ones. Motivated by Singh and Deo [14], Singh et al [15] and Maji et al [16] who have been adopted the artificial population generation techniques, we have generated five sets of independent random numbers of size N (N = 100) namely x 0 1 k , y 0 1 k , x 0 2 k , y 0 2 k and z 0 k k ¼ 1; 2; 3; …; N ðÞ from a standard normal distribution with the help of R-software. By varying the correlation coefficients ρ yx and ρ xz , we have generated the following transformed variables of the population U with the values of σ 2 y ¼ 50, μ y ¼ 10, σ 2 x ¼ 100, μ x ¼ 50, σ 2 z ¼ 50 and μ z ¼ 20 as…”