Table 2 Random normal variate when \(\mu =[\mathrm{10,12}]\) and \(\sigma =[\mathrm{3,5}]\)
From: Simulating imprecise data: sine–cosine and convolution methods with neutrosophic normal distribution
Sr# | \({I}_{N}\)=0 | \({I}_{N}\)=0.01 | \({I}_{N}\)=0.02 | \({I}_{N}\)=0.03 | \({I}_{N}\)=0.05 | \({I}_{N}\)=0.10 | ||||||
|---|---|---|---|---|---|---|---|---|---|---|---|---|
\({x}_{1N}\) | \({x}_{2N}\) | \({x}_{1N}\) | \({x}_{2N}\) | \({x}_{1N}\) | \({x}_{2N}\) | \({x}_{1N}\) | \({x}_{2N}\) | \({x}_{1N}\) | \({x}_{2N}\) | \({x}_{1N}\) | \({x}_{2N}\) | |
1 | [9.2,10.7] | [15.8,21.6] | [7.8,8.3] | [12.7,16.3] | [13,17] | [10.5,12.8] | [12.2,15.4] | [11.7,14.7] | [13.8,18.1] | [12.8,16.85] | [12.8,16.85] | [9.8,10.28] |
2 | [7.9,8.5] | [9.9,11.9] | [7.3,7.7] | [6.8,6.5] | [13.1,17.1] | [11.2,13.9] | [4.9,4.1] | [7.1,6.3] | [8,8.7] | [11.1,13.27] | [11.1,13.27] | [8.4,10.56] |
3 | [9.4,11] | [7.7,8.2] | [9.1,10.9] | [5.3,4.1] | [13.4,17.6] | [10.1,12.2] | [5.9,4.8] | [13.8,17.9] | [9.8,12.8] | [6.9,7.07] | [6.9,7.07] | [9,11.65] |
4 | [5.7,4.8] | [10.4,12.6] | [11.3,14] | [16.4,22.6] | [5.9,5.1] | [10.9,13.1] | [14.5,19.3] | [12.4,16] | [13.8,18.1] | [10.9,13.46] | [10.9,13.46] | [10.5,12.38] |
5 | [8.3,9.2] | [6.8,6.7] | [6.8,6.7] | [9.9,11.6] | [11.6,14.5] | [13.6,18] | [8.3,9] | [12.2,15.3] | [11.3,13.8] | [12.8,16.64] | [12.8,16.64] | [7.4,9.19] |
6 | [11.7,14.8] | [12,15.3] | [12.5,16.5] | [6.3,6] | [7.3,7.8] | [8.6,9.4] | [7.4,8] | [9.7,11.1] | [11,16.4] | [3.1,1.38] | [3.1,1.38] | [10,17.86] |
7 | [9.2,10.7] | [13.1,17.1] | [9.7,11.7] | [7.4,7.7] | [12.3,15.6] | [14,18.7] | [15,21.1] | [6.4,7.5] | [10.3,12.1] | [13.1,16.95] | [13.1,16.95] | [13,16.57] |
8 | [6.3,5.8] | [5.5,4.5] | [12.6,16.3] | [12.3,15.8] | [5.6,4.3] | [15,20] | [4.3,3.2] | [7.1,6.2] | [8.9,12.7] | [3.6,1.24] | [3.6,1.24] | [10.3,14.35] |
9 | [11.9,15.2] | [13.7,18.1] | [11.6,15.1] | [5.9,5.3] | [6.1,5.7] | [8.6,9.2] | [10.5,13.2] | [8.2,9.4] | [7.2,10.2] | [2.3,-1.47] | [2.3,-1.47] | [13.4,17.1] |
10 | [10.9,13.4] | [3.1,0.5] | [6.8,6.7] | [10.5,12.6] | [11.1,13.7] | [12.1,15.4] | [5.6,4.6] | [11.7,14.3] | [5.2,3.2] | [14.8,18.9] | [14.8,18.9] | [9.9,15.38] |
11 | [7,7] | [8.5,9.5] | [8.6,9.8] | [11,13.6] | [8.6,9.9] | [9.6,11.3] | [9,10.3] | [11.5,14.2] | [4.7,3.3] | [10.5,11.52] | [10.5,11.52] | [12.5,20.03] |
12 | [10.9,13.6] | [13.4,17.7] | [11.7,14.8] | [10.9,13.4] | [4.3,3.1] | [6.2,5] | [8.1,9.1] | [10.2,12.1] | [10,11.7] | [12,14.95] | [12,14.95] | [10.6,15.41] |
13 | [9.7,11.6] | [15.6,21.4] | [9.3,10.9] | [11.5,14.4] | [8.2,9.3] | [9.6,11.3] | [8.8,10.6] | [7.6,7.9] | [8.8,9.7] | [12.7,16] | [12.7,16] | [8.6,11.23] |
14 | [5,3.7] | [12.9,16.9] | [10.5,12.7] | [12.7,16.5] | [8.8,10.5] | [6.8,6.6] | [11.1,13.7] | [12.1,15.4] | [13,16.6] | [14.5,19.66] | [14.5,19.66] | [12.4,15.2] |
15 | [5.9,5.2] | [14.6,19.6] | [16.9,23.5] | [11.2,14] | [14,18.4] | [15,20.4] | [12.2,15.5] | [13,17.1] | [10.4,14.2] | [6,5.94] | [6,5.94] | [8,12.08] |
16 | [5.8,4.9] | [5.1,3.8] | [5.5,4.2] | [15.6,21.2] | [11,13.5] | [11.6,14.5] | [17,23.6] | [10.8,13.3] | [2.7,-0.7] | [13.4,15.87] | [13.4,15.87] | [5.5,5.23] |
17 | [10.8,13.3] | [8.9,10.1] | [7.8,8.2] | [16.5,22.8] | [5.8,4.9] | [12.1,15.2] | [7.4,7.6] | [11.5,14.1] | [10.8,13.7] | [8.4,10.17] | [8.4,10.17] | [10,15.36] |
18 | [12.4,16.1] | [12,15.4] | [10.5,12.8] | [11.4,14.3] | [5,3.9] | [9.1,9.9] | [8,9.1] | [8.7,9.6] | [10.4,12.4] | [11.5,14.03] | [11.5,14.03] | [7,7.64] |
19 | [14.2,18.9] | [12.5,16.2] | [12.4,15.9] | [10.9,13.5] | [12,15.6] | [8.1,9.3] | [10.4,12.5] | [11.4,14] | [10.6,12.3] | [15.4,20.9] | [15.4,20.9] | [13.5,19.18] |
20 | [9.5,11.1] | [5.7,4.9] | [8.4,9.3] | [11.3,14.1] | [8.1,9] | [9.8,11.5] | [7.7,8] | [12.2,15.2] | [7.1,7.2] | [10.7,12.39] | [10.7,12.39] | [3.8,3.34] |
21 | [17.5,24.5] | [11.6,14.7] | [8.6,9.8] | [9.5,11.1] | [9.1,10.6] | [11.1,13.7] | [5.5,5.2] | [6.8,5.9] | [13.3,17.3] | [11.1,13.93] | [11.1,13.93] | [10.5,12.32] |
22 | [12,15.3] | [14.8,20] | [16.3,22.4] | [12,15.4] | [15.4,20.9] | [14.7,19.9] | [14.6,19.4] | [13.2,17.4] | [6.3,5.9] | [10.7,12.21] | [10.7,12.21] | [7.3,7.48] |
23 | [11.6,14.6] | [12.1,15.5] | [9.8,11.5] | [14.3,19.2] | [11.4,15.3] | [4.3,2.9] | [12.5,16] | [13.1,17.2] | [5.8,4.5] | [12.7,15.47] | [12.7,15.47] | [12.4,16.76] |
24 | [9.4,11.1] | [8.5,9.4] | [11,13.8] | [6.8,6.9] | [9.3,10.8] | [11.6,14.5] | [7.3,7.3] | [12.3,15.4] | [15,20.2] | [10.3,12.58] | [10.3,12.58] | [7.6,8.29] |
25 | [12.2,15.6] | [10.8,13.3] | [8.7,10.1] | [6.9,6.8] | [6,5] | [16,21.7] | [9.2,10.6] | [11.6,14.3] | [7.2,8.7] | [6.3,5.17] | [6.3,5.17] | [6.5,7.06] |