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Bootstrapping quantile correlations with an application for income status across generations

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  • Hartley, Robert Paul
  • Lamarche, Carlos
  • Ziliak, James P.

Abstract

We investigate statistical inference for a quantile correlation coefficient. We propose a bootstrap approach and demonstrate the validity of the method. To illustrate the approach, we estimate an intergenerational income parameter using the Panel Study of Income Dynamics.

Suggested Citation

  • Hartley, Robert Paul & Lamarche, Carlos & Ziliak, James P., 2023. "Bootstrapping quantile correlations with an application for income status across generations," Economics Letters, Elsevier, vol. 228(C).
    • Handle: RePEc:eee:ecolet:v:228:y:2023:i:c:s0165176523001854
    DOI: 10.1016/j.econlet.2023.111160
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    References listed on IDEAS

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    1. Magne Mogstad & Joseph P. Romano & Azeem Shaikh & Daniel Wilhelm, 2020. "Inference for Ranks with Applications to Mobility across Neighborhoods and Academic Achievement across Countries," NBER Working Papers 26883, National Bureau of Economic Research, Inc.
    2. Robert Paul Hartley & Carlos Lamarche & James P. Ziliak, 2022. "Welfare Reform and the Intergenerational Transmission of Dependence," Journal of Political Economy, University of Chicago Press, vol. 130(3), pages 523-565.
    3. Han, Heejoon & Linton, Oliver & Oka, Tatsushi & Whang, Yoon-Jae, 2016. "The cross-quantilogram: Measuring quantile dependence and testing directional predictability between time series," Journal of Econometrics, Elsevier, vol. 193(1), pages 251-270.
    4. Raj Chetty & Nathaniel Hendren, 2018. "The Impacts of Neighborhoods on Intergenerational Mobility I: Childhood Exposure Effects," The Quarterly Journal of Economics, President and Fellows of Harvard College, vol. 133(3), pages 1107-1162.
    5. Lamarche, Carlos & Parker, Thomas, 2023. "Wild bootstrap inference for penalized quantile regression for longitudinal data," Journal of Econometrics, Elsevier, vol. 235(2), pages 1799-1826.
    6. Raj Chetty & Nathaniel Hendren & Patrick Kline & Emmanuel Saez, 2014. "Where is the land of Opportunity? The Geography of Intergenerational Mobility in the United States," The Quarterly Journal of Economics, President and Fellows of Harvard College, vol. 129(4), pages 1553-1623.
    7. Chul-In Lee & Gary Solon, 2009. "Trends in Intergenerational Income Mobility," The Review of Economics and Statistics, MIT Press, vol. 91(4), pages 766-772, November.
    8. Guodong Li & Yang Li & Chih-Ling Tsai, 2015. "Quantile Correlations and Quantile Autoregressive Modeling," Journal of the American Statistical Association, Taylor & Francis Journals, vol. 110(509), pages 246-261, March.
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    More about this item

    Keywords

    Quantile correlation; Bootstrap inference; Intergenerational correlation; Income and poverty;
    All these keywords.

    JEL classification:

    • C15 - Mathematical and Quantitative Methods - - Econometric and Statistical Methods and Methodology: General - - - Statistical Simulation Methods: General
    • C21 - Mathematical and Quantitative Methods - - Single Equation Models; Single Variables - - - Cross-Sectional Models; Spatial Models; Treatment Effect Models
    • I32 - Health, Education, and Welfare - - Welfare, Well-Being, and Poverty - - - Measurement and Analysis of Poverty

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