Anzeige
Erschienen in:
27.02.2017 | Erratum
Erratum to: Analyzing the effect of dynamically assigned treatments using duration models, binary treatment models, and panel data models
Erschienen in: Empirical Economics | Ausgabe 2/2018
EinloggenAktivieren Sie unsere intelligente Suche, um passende Fachinhalte oder Patente zu finden.
Wählen Sie Textabschnitte aus um mit Künstlicher Intelligenz passenden Patente zu finden. powered by
Markieren Sie Textabschnitte, um KI-gestützt weitere passende Inhalte zu finden. powered by
Excerpt
The first displayed (unnumbered) equation on page 11 in Abbring and van den Berg (2004) gives an expression for \(\hbox {Pr}(T_{m}> t, T_p > t_{p}|x)\) that is incorrect. Under the assumption (implicit in the paper) that the distribution of \(T_{p}|x\) is not defective,
$$\begin{aligned} \hbox {Pr}(T_{m}>t, T_{p}>t_{p}|{x})= {\mathop {\int }\nolimits _{t_{p}}^{\infty }} \frac{\partial \hbox {Pr}(T_{m}>t, T_{p}\le u|x)}{\partial {u}} du, \end{aligned}$$
$$\begin{aligned}&\frac{\partial \hbox {Pr}(T_{m}>t, T_{p}\le t_{p}|x)}{\partial {t_{p}}}\\&\quad ={\mathop {\int }\nolimits _{0}^{\infty }} {\mathop {\int }\nolimits _{0}^{\infty }} \exp (-\phi _{m}(x)v_{m}[\Lambda _{m}(\hbox {min}\{t,t_{p}\})+\hbox {I}(t>t_{p})\Delta (t|t_{p},x)]) \\&\qquad \times \phi _{p} (x)v_{p}\lambda _{p}(t_{p})\exp (-\phi _{p}(x)v_{p}\Lambda _{p}(t_{p}))dG(v_{m},v_{p}). \end{aligned}$$