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A note on Hadamard differentiability and differentiability in quadratic mean

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  • Tinkl, Fabian

Abstract

We proof that Hadamard differentiability in addition with usual assumptions on the loss function for M estimates implies differentiability in quadratic mean. Thus both concepts are exchangeable.

Suggested Citation

  • Tinkl, Fabian, 2010. "A note on Hadamard differentiability and differentiability in quadratic mean," FAU Discussion Papers in Economics 08/2010, Friedrich-Alexander University Erlangen-Nuremberg, Institute for Economics.
  • Handle: RePEc:zbw:iwqwdp:082010
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    References listed on IDEAS

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    1. Boris Hirsch & Claus Schnabel, 2012. "Women Move Differently: Job Separations and Gender," Journal of Labor Research, Springer, vol. 33(4), pages 417-442, December.
    2. Feicht, Robert & Stummer, Wolfgang, 2010. "Complete closed-form solution to a stochastic growth model and corresponding speed of economic recovery," FAU Discussion Papers in Economics 05/2010, Friedrich-Alexander University Erlangen-Nuremberg, Institute for Economics.
    3. Uwe Blien & Wolfgang Dauth & Thorsten Schank & Claus Schnabel, 2013. "The Institutional Context of an ‘Empirical Law’: The Wage Curve under Different Regimes of Collective Bargaining," British Journal of Industrial Relations, London School of Economics, vol. 51(1), pages 59-79, March.
    4. Mosthaf, Alexander & Schnabel, Claus & Stephani, Jens, 2011. "Low-wage careers: Are there dead-end firms and dead-end jobs?," Zeitschrift für ArbeitsmarktForschung - Journal for Labour Market Research, Institut für Arbeitsmarkt- und Berufsforschung (IAB), Nürnberg [Institute for Employment Research, Nuremberg, Germany], vol. 43(3), pages 231-249.
    5. Fischer, Matthias J. & Gao, Yang & Herrmann, Klaus, 2010. "Volatility models with innovations from new maximum entropy densities at work," FAU Discussion Papers in Economics 03/2010, Friedrich-Alexander University Erlangen-Nuremberg, Institute for Economics.
    6. Dewenter, Ralf & Haucap, Justus & Wenzel, Tobias, 2009. "Indirect network effects with two salop circles: the example of the music industry," FAU Discussion Papers in Economics 09/2009, Friedrich-Alexander University Erlangen-Nuremberg, Institute for Economics.
    7. Ingo, Klein & Christian, Köck & Fabian, Tinkl, 2009. "Spatial-serial dependency in multivariate GARCH models and dynamic copulas: a simulation study," FAU Discussion Papers in Economics 11/2009, Friedrich-Alexander University Erlangen-Nuremberg, Institute for Economics.
    8. Schlüter, Stephan & Deuschle, Carola, 2010. "Using wavelets for time series forecasting: Does it pay off?," FAU Discussion Papers in Economics 04/2010, Friedrich-Alexander University Erlangen-Nuremberg, Institute for Economics.
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