(Translated by https://www.hiragana.jp/)
Bayesian inference for non-anonymous growth incidence curves using Bernstein polynomials: an application to academic wage dynamics
IDEAS home Printed from https://ideas.repec.org/p/hal/journl/hal-04356211.html
   My bibliography  Save this paper

Bayesian inference for non-anonymous growth incidence curves using Bernstein polynomials: an application to academic wage dynamics

Author

Listed:
  • Edwin Fourrier-Nicolaï

    (UNITN - Università degli Studi di Trento = University of Trento)

  • Michel Lubrano

    (AMU - Aix Marseille Université)

Abstract

The paper examines the question of non-anonymous Growth Incidence Curves (na-GIC) from a Bayesian inferential point of view. Building on the notion of conditional quantiles of Barnett (1976. "The Ordering of Multivariate Data." Journal of the Royal Statistical Society: Series A 139: 318–55), we show that removing the anonymity axiom leads to a complex and shaky curve that has to be smoothed, using a non-parametric approach. We opted for a Bayesian approach using Bernstein polynomials which provides confidence intervals, tests and a simple way to compare two na-GICs. The methodology is applied to examine wage dynamics in a US university with a particular attention devoted to unbundling and anti-discrimination policies. Our findings are the detection of wage scale compression for higher quantiles for all academics and an apparent pro-female wage increase compared to males. But this pro-female policy works only for academics and not for the para-academics categories created by the unbundling policy.

Suggested Citation

  • Edwin Fourrier-Nicolaï & Michel Lubrano, 2023. "Bayesian inference for non-anonymous growth incidence curves using Bernstein polynomials: an application to academic wage dynamics," Post-Print hal-04356211, HAL.
    • Handle: RePEc:hal:journl:hal-04356211
    DOI: 10.1515/snde-2022-0109
    Note: View the original document on HAL open archive server: https://hal.science/hal-04356211
    as

    Download full text from publisher

    File URL: https://hal.science/hal-04356211/document
    Download Restriction: no
    File URL: https://libkey.io/10.1515/snde-2022-0109?utm_source=ideas
    LibKey link: if access is restricted and if your library uses this service, LibKey will redirect you to where you can use your library subscription to access this item
    ---><---

    Other versions of this item:

    References listed on IDEAS

    as
    1. Wang, J. & Ghosh, S.K., 2012. "Shape restricted nonparametric regression with Bernstein polynomials," Computational Statistics & Data Analysis, Elsevier, vol. 56(9), pages 2729-2741.
    2. Van Kerm, Philippe, 2009. "Income mobility profiles," Economics Letters, Elsevier, vol. 102(2), pages 93-95, February.
    3. Stephen P. Jenkins & Philippe Van Kerm, 2006. "Trends in income inequality, pro-poor income growth, and income mobility," Oxford Economic Papers, Oxford University Press, vol. 58(3), pages 531-548, July.
    4. Flaviana Palmisano & Vito Peragine, 2015. "The Distributional Incidence of Growth: A Social Welfare Approach," Review of Income and Wealth, International Association for Research in Income and Wealth, vol. 61(3), pages 440-464, September.
    5. Bruce M. Brown & Song Xi Chen, 1999. "Beta‐Bernstein Smoothing for Regression Curves with Compact Support," Scandinavian Journal of Statistics, Danish Society for Theoretical Statistics;Finnish Statistical Society;Norwegian Statistical Association;Swedish Statistical Association, vol. 26(1), pages 47-59, March.
    6. François Bourguignon, 2011. "Non-anonymous growth incidence curves, income mobility and social welfare dominance," The Journal of Economic Inequality, Springer;Society for the Study of Economic Inequality, vol. 9(4), pages 605-627, December.
    7. Roland Benabou & Efe A. Ok, 2000. "Mobility as Progressivity: Ranking Income Processes According to Equality of Opportunity," Working Papers 150, Princeton University, School of Public and International Affairs, Discussion Papers in Economics.
    8. David Blackaby & Alison L Booth & Jeff Frank, 2005. "Outside Offers And The Gender Pay Gap: Empirical Evidence From the UK Academic Labour Market," Economic Journal, Royal Economic Society, vol. 115(501), pages 81-107, February.
    9. Jianhua Ding & Zhongzhan Zhang, 2016. "Bayesian regression on non-parametric mixed-effect models with shape-restricted Bernstein polynomials," Journal of Applied Statistics, Taylor & Francis Journals, vol. 43(14), pages 2524-2537, October.
    10. David Blackaby & Alison L Booth & Jeff Frank, 2005. "Outside Offers And The Gender Pay Gap: Empirical Evidence From the UK Academic Labour Market," Economic Journal, Royal Economic Society, vol. 115(501), pages 81-107, February.
    11. Stephan, Paula E., 2010. "The Economics of Science," Handbook of the Economics of Innovation, in: Bronwyn H. Hall & Nathan Rosenberg (ed.), Handbook of the Economics of Innovation, edition 1, volume 1, chapter 0, pages 217-273, Elsevier.
    12. David J. Spiegelhalter & Nicola G. Best & Bradley P. Carlin & Angelika Van Der Linde, 2002. "Bayesian measures of model complexity and fit," Journal of the Royal Statistical Society Series B, Royal Statistical Society, vol. 64(4), pages 583-639, October.
    13. Michael Grimm, 2007. "Removing the anonymity axiom in assessing pro-poor growth," The Journal of Economic Inequality, Springer;Society for the Study of Economic Inequality, vol. 5(2), pages 179-197, August.
    14. Maria C. Lo Bue & Flaviana Palmisano, 2020. "The Individual Poverty Incidence of Growth," Oxford Bulletin of Economics and Statistics, Department of Economics, University of Oxford, vol. 82(6), pages 1295-1321, December.
    15. Taeryon Choi & Hea-Jung Kim & Seongil Jo, 2016. "Bayesian variable selection approach to a Bernstein polynomial regression model with stochastic constraints," Journal of Applied Statistics, Taylor & Francis Journals, vol. 43(15), pages 2751-2771, November.
    16. Axel Tenbusch, 1997. "Nonparametric curve estimation with bernstein estimates," Metrika: International Journal for Theoretical and Applied Statistics, Springer, vol. 45(1), pages 1-30, January.
    17. Alison J. Wellington, 1993. "Changes in the Male/Female Wage Gap, 1976-85," Journal of Human Resources, University of Wisconsin Press, vol. 28(2), pages 383-411.
    18. Laura K. Brown & Elizabeth Troutt & Susan Prentice, 2011. "Ten Years After: Sex and Salaries at a Canadian University," Canadian Public Policy, University of Toronto Press, vol. 37(2), pages 239-255, June.
    19. Formby, John P. & Smith, W. James & Zheng, Buhong, 2004. "Mobility measurement, transition matrices and statistical inference," Journal of Econometrics, Elsevier, vol. 120(1), pages 181-205, May.
    20. Moore, William J & Newman, Robert J & Turnbull, Geoffrey K, 1998. "Do Academic Salaries Decline with Seniority?," Journal of Labor Economics, University of Chicago Press, vol. 16(2), pages 352-366, April.
    Full references (including those not matched with items on IDEAS)

    Most related items

    These are the items that most often cite the same works as this one and are cited by the same works as this one.
    1. Edwin Fourrier-Nicolai & Michel Lubrano, 2022. "Bayesian inference for non-anonymous Growth Incidence Curves using Bernstein polynomials: an application to academic wage dynamics," Working Papers hal-03880243, HAL.
    2. P. Jenkins, Stephen & Jäntti, Markus, 2013. "Income mobility," ISER Working Paper Series 2013-23, Institute for Social and Economic Research.
    3. Stephen P. Jenkins & Philippe Van Kerm, 2016. "Assessing Individual Income Growth," Economica, London School of Economics and Political Science, vol. 83(332), pages 679-703, October.
    4. Flaviana Palmisano, 2018. "Evaluating Patterns of Income Growth when Status Matters: A Robust Approach," Review of Income and Wealth, International Association for Research in Income and Wealth, vol. 64(1), pages 147-169, March.
    5. Flaviana Palmisano & Vito Peragine, 2015. "The Distributional Incidence of Growth: A Social Welfare Approach," Review of Income and Wealth, International Association for Research in Income and Wealth, vol. 61(3), pages 440-464, September.
    6. Stephan Klasen & Maria C. Lo Bue & Vincenzo Prete, 2020. "What's behind pro-poor growth?: The role of shocks and measurement error," WIDER Working Paper Series wp-2020-16, World Institute for Development Economic Research (UNU-WIDER).
    7. Flaviana Palmisano, 2012. "The distributional incidence of growth: a non-anonymous and rank dependent approach," SERIES 0039, Dipartimento di Economia e Finanza - Università degli Studi di Bari "Aldo Moro", revised Jul 2012.
    8. Michael Savage, 2016. "Poorest Made Poorer? Decomposing income losses at the bottom of the income distribution during the Great Recession," Papers WP528, Economic and Social Research Institute (ESRI).
    9. Vito Peragine & Flaviana Palmisano & Paolo Brunori, 2014. "Economic Growth and Equality of Opportunity," The World Bank Economic Review, World Bank, vol. 28(2), pages 247-281.
    10. Thomas Demuynck & Dirk Van de gaer, 2012. "Inequality Adjusted Income Growth," Economica, London School of Economics and Political Science, vol. 79(316), pages 747-765, October.
    11. Maria C. Lo Bue & Flaviana Palmisano, 2020. "The Individual Poverty Incidence of Growth," Oxford Bulletin of Economics and Statistics, Department of Economics, University of Oxford, vol. 82(6), pages 1295-1321, December.
    12. Edwin Fourrier-Nicolaï & Michel Lubrano, 2021. "Bayesian Inference for Parametric Growth Incidence Curves," Research on Economic Inequality, in: Research on Economic Inequality: Poverty, Inequality and Shocks, volume 29, pages 31-55, Emerald Group Publishing Limited.
    13. François Bourguignon, 2011. "Non-anonymous growth incidence curves, income mobility and social welfare dominance," The Journal of Economic Inequality, Springer;Society for the Study of Economic Inequality, vol. 9(4), pages 605-627, December.
    14. Duval Hernández, Robert & Fields, Gary S. & Jakubson, George H., 2020. "Inequality and Panel Income Changes: Conditions for Possibilities and Impossibilities," IZA Discussion Papers 13179, Institute of Labor Economics (IZA).
    15. Olga Cantó & David O. Ruiz, 2015. "The Contribution of Income Mobility to Economic Insecurity in the US and Spain during the Great Recession," Research on Economic Inequality, in: Measurement of Poverty, Deprivation, and Economic Mobility, volume 23, pages 109-152, Emerald Group Publishing Limited.
    16. Elena Bárcena & Olga Cantó, 2018. "A simple subgroup decomposable measure of downward (and upward) income mobility," Working Papers 472, ECINEQ, Society for the Study of Economic Inequality.
    17. Juho Jokinen & Jaakko Pehkonen, 2017. "Promotions and Earnings – Gender or Merit? Evidence from Longitudinal Personnel Data," Journal of Labor Research, Springer, vol. 38(3), pages 306-334, September.
    18. Edwin Fourrier-Nicolai & Michel Lubrano, 2019. "The Effect of Aspirations on Inequality: Evidence from the German Reunification using Bayesian Growth Incidence Curves," Working Papers halshs-02122371, HAL.
    19. Creedy, John & Gemmell, Norman, 2017. "Illustrating Income Mobility: Two New Measures," Working Paper Series 6693, Victoria University of Wellington, Chair in Public Finance.
    20. Flaviana Palmisano & Dirk Van de gaer, 2016. "History-dependent growth incidence: a characterization and an application to the economic crisis in Italy," Oxford Economic Papers, Oxford University Press, vol. 68(2), pages 585-603.

    More about this item

    Keywords

    Conditional quantiles non-anonymous GIC Bayesian inference academic wage formation gender policy; Conditional quantiles; non-anonymous GIC; Bayesian inference; academic wage formation; gender policy;
    All these keywords.

    JEL classification:

    • C11 - Mathematical and Quantitative Methods - - Econometric and Statistical Methods and Methodology: General - - - Bayesian Analysis: General
    • C22 - Mathematical and Quantitative Methods - - Single Equation Models; Single Variables - - - Time-Series Models; Dynamic Quantile Regressions; Dynamic Treatment Effect Models; Diffusion Processes
    • I23 - Health, Education, and Welfare - - Education - - - Higher Education; Research Institutions

    Statistics

    Access and download statistics

    Corrections

    All material on this site has been provided by the respective publishers and authors. You can help correct errors and omissions. When requesting a correction, please mention this item's handle: RePEc:hal:journl:hal-04356211. See general information about how to correct material in RePEc.

    If you have authored this item and are not yet registered with RePEc, we encourage you to do it here. This allows to link your profile to this item. It also allows you to accept potential citations to this item that we are uncertain about.

    If CitEc recognized a bibliographic reference but did not link an item in RePEc to it, you can help with this form .

    If you know of missing items citing this one, you can help us creating those links by adding the relevant references in the same way as above, for each refering item. If you are a registered author of this item, you may also want to check the "citations" tab in your RePEc Author Service profile, as there may be some citations waiting for confirmation.

    For technical questions regarding this item, or to correct its authors, title, abstract, bibliographic or download information, contact: CCSD (email available below). General contact details of provider: https://hal.archives-ouvertes.fr/ .

    Please note that corrections may take a couple of weeks to filter through the various RePEc services.

    IDEAS is a RePEc service. RePEc uses bibliographic data supplied by the respective publishers.