Competing risks quantile regression at work: in-depth exploration of the role of public child support for the duration of maternity leave

ABSTRACT

Despite its emergence as a frequently used method for the empirical analysis of multivariate data, quantile regression is yet to become a mainstream tool for the analysis of duration data. We present a pioneering empirical study on the grounds of a competing risks quantile regression model. We use large-scale maternity duration data with multiple competing risks derived from German linked social security records to analyse how public policies are related to the length of economic inactivity of young mothers after giving birth. Our results show that the model delivers detailed insights into the distribution of transitions out of maternity leave. It is found that cumulative incidences implied by the quantile regression model differ from those implied by a proportional hazards model. To foster the use of the model, we make an R-package (cmprskQR) available.

KEYWORDS:

• Dependent competing risks
• quantile regression
• quantile crossings

Acknowledgments

We thank Limin Peng for making basic sample code for her model available and two reviewers for their helpful comments.

Disclosure statement

No potential conflict of interest was reported by the authors.

Additional information

Funding

Financial support of the German Research Foundation (DFG) through the research grant ‘Statistical Modelling of Errors in Administrative Labor Market Data’ is gratefully acknowledged.