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Labor market entry and earnings dynamics: Bayesian inference using mixtures‐of‐experts Markov chain clustering

  • Sylvia Frühwirth‐Schnatter
  • Christoph Pamminger
  • Andrea Weber
  • Rudolf Winter‐Ebmer

This paper analyzes patterns in the earnings development of young labor market entrants over their life cycle. We identify four distinctly different types of transition patterns between discrete earnings states in a large administrative data set. Further, we investigate the effects of labor market conditions at the time of entry on the probability of belonging to each transition type. To estimate our statistical model we use a model-based clustering approach. The statistical challenge in our application comes from the di±culty in extending distance-based clustering approaches to the problem of identify groups of similar time series in a panel of discrete-valued time series. We use Markov chain clustering, proposed by Pamminger and Frühwirth-Schnatter (2010), which is an approach for clustering discrete-valued time series obtained by observing a categorical variable with several states. This method is based on finite mixtures of first-order time-homogeneous Markov chain models. In order to analyze group membership we present an extension to this approach by formulating a probabilistic model for the latent group indicators within the Bayesian classification rule using a multinomial logit model.

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Article provided by John Wiley & Sons, Ltd. in its journal Journal of Applied Econometrics.

Volume (Year): 27 (2012)
Issue (Month): 7 (November)
Pages: 1116-1137

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Handle: RePEc:wly:japmet:v:27:y:2012:i:7:p:1116-1137
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  1. Andrea Weber, 2002. "State dependence and wage dynamics: a heterogeneous Markov chain model for wage mobility in Austria," 10th International Conference on Panel Data, Berlin, July 5-6, 2002 D2-2, International Conferences on Panel Data.
  2. Juárez, Miguel A. & Steel, Mark F. J., 2010. "Model-Based Clustering of Non-Gaussian Panel Data Based on Skew-t Distributions," Journal of Business & Economic Statistics, American Statistical Association, vol. 28(1), pages 52-66.
  3. Philip Oreopoulos & Till von Wachter & Andrew Heisz, 2006. "The Short- and Long-Term Career Effects of Graduating in a Recession: Hysteresis and Heterogeneity in the Market for College Graduates," NBER Working Papers 12159, National Bureau of Economic Research, Inc.
  4. Paul Oyer, 2006. "The Macro-Foundations of Microeconomics: Initial Labor Market Conditions and Long-Term Outcomes for Economists," NBER Working Papers 12157, National Bureau of Economic Research, Inc.
  5. Konrad Banachewicz & Aad van der Vaart & Andr� Lucas, 2006. "Modeling Portfolio Defaults using Hidden Markov Models with Covariates," Tinbergen Institute Discussion Papers 06-094/2, Tinbergen Institute.
  6. Fraley C. & Raftery A.E., 2002. "Model-Based Clustering, Discriminant Analysis, and Density Estimation," Journal of the American Statistical Association, American Statistical Association, vol. 97, pages 611-631, June.
  7. Kondo, Ayako, 2007. "Does the first job really matter? State dependency in employment status in Japan," Journal of the Japanese and International Economies, Elsevier, vol. 21(3), pages 379-402, September.
  8. Oddbjørn Raaum & Knut Røed, 2006. "Do Business Cycle Conditions at the Time of Labor Market Entry Affect Future Employment Prospects?," The Review of Economics and Statistics, MIT Press, vol. 88(2), pages 193-210, May.
  9. Fruhwirth-Schnatter, Sylvia & Fruhwirth, Rudolf, 2007. "Auxiliary mixture sampling with applications to logistic models," Computational Statistics & Data Analysis, Elsevier, vol. 51(7), pages 3509-3528, April.
  10. Kahn, Lisa B., 2010. "The long-term labor market consequences of graduating from college in a bad economy," Labour Economics, Elsevier, vol. 17(2), pages 303-316, April.
  11. Jeffrey M. Wooldridge, 2005. "Simple solutions to the initial conditions problem in dynamic, nonlinear panel data models with unobserved heterogeneity," Journal of Applied Econometrics, John Wiley & Sons, Ltd., vol. 20(1), pages 39-54.
  12. Yuji Genda & Ayako Kondo & Souichi Ohta, 2010. "Long-Term Effects of a Recession at Labor Market Entry in Japan and the United States," Journal of Human Resources, University of Wisconsin Press, vol. 45(1).
  13. Paul Oyer, 2006. "Initial Labor Market Conditions and Long-Term Outcomes for Economists," Journal of Economic Perspectives, American Economic Association, vol. 20(3), pages 143-160, Summer.
  14. Frühwirth-Schnatter, Sylvia & Kaufmann, Sylvia, 2004. "Model-based Clustering of Multiple Time Series," CEPR Discussion Papers 4650, C.E.P.R. Discussion Papers.
  15. Josef Zweimüller & Rudolf Winter-Ebmer & Rafael Lalive & Andreas Kuhn & Jean-Philippe Wuellrich & Oliver Ruf & Simon Büchi, 2009. "Austrian social security database," IEW - Working Papers 410, Institute for Empirical Research in Economics - University of Zurich.
    • Josef Zweimüller & Rudolf Winter-Ebmer & Rafael Lalive & Andreas Kuhn & Jean-Philippe Wuellrich & Oliver Ruf & Simon Büchi, 2009. "Austrian Social Security Database," NRN working papers 2009-03, The Austrian Center for Labor Economics and the Analysis of the Welfare State, Johannes Kepler University Linz, Austria.
  16. Juarez, Miguel A. & Steel, Mark F. J., 2006. "Model-based Clustering of non-Gaussian Panel Data," MPRA Paper 880, University Library of Munich, Germany.
  17. Illoong Kwon & Eva Meyersson Milgrom, 2007. "Cohort Effects in Wages and Promotions," Discussion Papers 07-025, Stanford Institute for Economic Policy Research.
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