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Variable selection with group structure: exiting employment at retirement age—a competing risks quantile regression analysis

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  • Shuolin Shi

    (Copenhagen Business School)

  • Ralf A. Wilke

    (Copenhagen Business School)

Abstract

We consider the exit routes of older employees out of employment around retirement age. Our administrative data cover weekly information about the Danish population from 2004 to 2016 and 397 variables from 16 linked administrative registers. We use a flexible dependent competing risks quantile regression model to identify how early and late retirement transitions are related to the information in various registers. Our model selection is guided by machine learning methods, in particular statistical regularization. We use the (adaptive) group bridge to identify the relevant administrative registers and variables in heterogeneous and high-dimensional data, while maintaining the oracle property. By applying state-of-the-art statistical methods, we obtain detailed insights into conditional distributions of transition times into the main pension programs in Denmark.

Suggested Citation

  • Shuolin Shi & Ralf A. Wilke, 2022. "Variable selection with group structure: exiting employment at retirement age—a competing risks quantile regression analysis," Empirical Economics, Springer, vol. 62(1), pages 119-155, January.
  • Handle: RePEc:spr:empeco:v:62:y:2022:i:1:d:10.1007_s00181-020-01918-z
    DOI: 10.1007/s00181-020-01918-z
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    References listed on IDEAS

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    3. Fitzenberger Bernd & Wilke Ralf A., 2010. "Unemployment Durations in West Germany Before and After the Reform of the Unemployment Compensation System during the 1980s," German Economic Review, De Gruyter, vol. 11(3), pages 336-366, August.
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    5. Paul Bingley & Nabanita Datta Gupta & Peder J. Pedersen, 2012. "Disability Programs, Health, and Retirement in Denmark since 1960," NBER Chapters, in: Social Security Programs and Retirement around the World: Historical Trends in Mortality and Health, Employment, and Disability Insurance Participatio, pages 217-249, National Bureau of Economic Research, Inc.
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    9. Filges, Trine & Larsen, Mona & Pedersen, Peder J., 2012. "Retirement: Does Individual Unemployment Matter? Evidence from Danish Panel Data 1980–2009," IZA Discussion Papers 6538, Institute of Labor Economics (IZA).
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    Cited by:

    1. Xianwen Ding & Zhihuang Yang, 2024. "Adaptive Bi-Level Variable Selection for Quantile Regression Models with a Diverging Number of Covariates," Mathematics, MDPI, vol. 12(20), pages 1-23, October.

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    More about this item

    Keywords

    Adaptive group bridge; Competing risks; Quantile regression; Statistical learning;
    All these keywords.

    JEL classification:

    • C55 - Mathematical and Quantitative Methods - - Econometric Modeling - - - Large Data Sets: Modeling and Analysis
    • J26 - Labor and Demographic Economics - - Demand and Supply of Labor - - - Retirement; Retirement Policies

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