$z_{i, t - 1} = {(y_{i, t - 1}, x_{i, t - 1}^{'})}^{'} and w_{i, t} = 0$	Case I
$z_{i, t - 1} = {(y_{i, t - 1}, x_{i, t - 1}^{'}, 1)}^{'} and w_{i, t} = 0$	Case II
$z_{i, t - 1} = {(y_{i, t - 1}, x_{i, t - 1}^{'})}^{'} and w_{i, t} = 1$	Case III
$z_{i, t - 1} = {(y_{i, t - 1}, x_{i, t - 1}^{'}, t)}^{'} and w_{i, t} = 1$	Case IV
$z_{i, t - 1} = {(y_{i, t - 1}, x_{i, t - 1}^{'})}^{'} and w_{i, t} = {(1, t)}^{'}$	Case V
$z_{i, t - 1} = {(y_{i, t - 1}, x_{i, t - 1}^{'}, 1)}^{'} and w_{i, t} = t$	Case VI
$z_{i, t - 1} = {(y_{i, t - 1}, x_{i, t - 1}^{'}, 1, t)}^{'} and w_{i, t} = 0$	Case VII
$z_{i, t - 1} = {(y_{i, t - 1}, x_{i, t - 1}^{'}, 1, t, t^{2})}^{'} and w_{i, t} = 0$	Case VIII
$z_{i, t - 1} = {(y_{i, t - 1}, x_{i, t - 1}^{'}, t, t^{2})}^{'} and w_{i, t} = 1$	Case IX
$z_{i, t - 1} = {(y_{i, t - 1}, x_{i, t - 1}^{'}, 1)}^{'} and w_{i, t} = (t, t^{2})$	Case X
$z_{i, t - 1} = {(y_{i, t - 1}, x_{i, t - 1}^{'})}^{'} and w_{i, t} = (1, t, t^{2})$	Case XI