# Table 1 The operations carried out for tracking scheme

Operations

oper1

$\mathcal{N}\left(x;{m}_{1},{\mathrm{Ïƒ}}_{1}^{2}\right),\mathcal{N}\left(x;{m}_{2},{\mathrm{Ïƒ}}_{2}^{2}\right)$

$\mathcal{N}\left(x;\frac{{\mathrm{Ïƒ}}_{2}^{2}.{m}_{1}+{\mathrm{Ïƒ}}_{1}^{2}.{m}_{2}}{{\mathrm{Ïƒ}}_{1}^{2}+{\mathrm{Ïƒ}}_{2}^{2}},\frac{{\mathrm{Ïƒ}}_{1}^{2}.{\mathrm{Ïƒ}}_{2}^{2}}{{\mathrm{Ïƒ}}_{1}^{2}+{\mathrm{Ïƒ}}_{2}^{2}}\right)$

oper2

$\mathcal{N}\left(x;m,{\mathrm{Ïƒ}}_{1}^{2}\right),\mathcal{N}\left(y;\mathrm{Î±}x,{\mathrm{Ïƒ}}_{2}^{2}\right)$

$\mathcal{N}\left(y;\mathrm{Î±}m,{\mathrm{Î±}}^{2}{\mathrm{Ïƒ}}_{1}^{2}+{\mathrm{Ïƒ}}_{2}^{2}\right)$

oper3

$\mathcal{N}\left(x;{m}_{1},{\mathrm{Ïƒ}}_{1}^{2}\right),\mathcal{N}\left(y;{m}_{2},{\mathrm{Ïƒ}}_{2}^{2}\right),\mathcal{N}\left(z;\mathrm{Î±}x+\mathrm{Î²}y,{\mathrm{Ïƒ}}_{3}^{2}\right)$

$\mathcal{N}\left(z;\mathrm{Î±}{m}_{1}+\mathrm{Î²}{m}_{2},{\mathrm{Î±}}^{2}{\mathrm{Ïƒ}}_{1}^{2}+{\mathrm{Î²}}^{2}{\mathrm{Ïƒ}}_{2}^{2}+{\mathrm{Ïƒ}}_{3}^{2}\right)$