Table 4 Parameter settings of simulated data for Case 1

1

1

$\left(\begin{array}{ll}0.98& 0.02\\ 0.03& 0.97\end{array}\right)$

N(0,1)

$N({\mu }_{11}^{\left(1\right)},1)$

2

$\left(\begin{array}{ll}0.98& 0.02\\ 0.03+{\upsilon }_1& 0.97-{\upsilon }_1\end{array}\right)$

N(0,1)

$N({\mu }_{21}^{\left(1\right)}={\mu }_{11}^{\left(1\right)}+1.5,1)$

2

1

$\left(\begin{array}{ll}0.98& 0.02\\ 0.05& 0.95\end{array}\right)$

N(0,1)

$N({\mu }_{11}^{\left(2\right)}={\mu }_{11}^{\left(1\right)}+0.5,1)$

2

$\left(\begin{array}{ll}0.98& 0.02\\ 0.05+{\upsilon }_1& 0.95-{\upsilon }_1\end{array}\right)$

N(0,1)

$N({\mu }_{21}^{\left(2\right)}={\mu }_{11}^{\left(2\right)}+2.0,1)$