Table 1 ${\mathit{\lambda }}_{\mathit{i}}\mathbf{(}\mathit{t}\mathbf{,}{\mathbf{Z}}_{\mathit{i}})$ estimations with the HP and LWA models are associated to the HR(t) to be estimated according to the adjustment for covariates

${\lambda }_{0i\left(j\right)}\left(t\right)exp\left(\gamma E_i\left(t\right)\right)$

${\lambda }_0\left(t\right)exp\left(\gamma E_i\left(t\right)\right)$

λ ₀(t)exp(γ E _i (t)+β ^′ Z _i )

λ ₀(t)exp(γ E _i (t)+β ^′ Z _i +α ^′(t)Z _i E _i (t))

${\lambda }_{0i\left(j\right)}\left(t\right)exp\left(\gamma \left(t\right)E_i\left(t\right)\right)$

${\lambda }_0\left(t\right)exp\left(\gamma \left(t\right)E_i\left(t\right)\right)$

λ ₀(t)exp(γ(t)E _i (t)+β ^′ Z _i )

λ ₀(t)exp(γ(t)E _i (t)+β ^′ Z _i +α ^′(t)Z _i E _i (t))