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Confidence band for expectation dependence with applications

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  • Guo, Xu
  • Li, Jingyuan

Abstract

Motivated by the applications of the concept of expectation dependence in economics and finance, we propose a method to construct uniform confidence band for expectation dependence. It is derived based on Hoeffding’s inequality. Our proposed confidence band can be explicitly expressed and thus it is very easy to implement. Our method has applications to demand for a risky asset and first-order risk aversion problems. Simulations suggest our proposed confidence interval can control the coverage probabilities very well, and the average lengths are very short. Two empirical applications are presented to illustrate the usefulness of the constructed confidence band of expectation dependence.

Suggested Citation

  • Guo, Xu & Li, Jingyuan, 2016. "Confidence band for expectation dependence with applications," Insurance: Mathematics and Economics, Elsevier, vol. 68(C), pages 141-149.
    • Handle: RePEc:eee:insuma:v:68:y:2016:i:c:p:141-149
    DOI: 10.1016/j.insmatheco.2015.09.012
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    References listed on IDEAS

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    1. Wong, Kit Pong, 2013. "Fixed versus variable rate loans under state-dependent preferences," Economic Modelling, Elsevier, vol. 31(C), pages 659-663.
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    14. Dionne, Georges & Li, Jingyuan, 2014. "When can expected utility handle first-order risk aversion?," Journal of Economic Theory, Elsevier, vol. 154(C), pages 403-422.
    15. Wong, Kit Pong, 2012. "Production and futures hedging with state-dependent background risk," International Review of Economics & Finance, Elsevier, vol. 24(C), pages 177-184.
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    Cited by:

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    3. Denuit, Michel & Trufin, Julien & Verdebout, Thomas, 2021. "Testing for more positive expectation dependence with application to model comparison," LIDAM Discussion Papers ISBA 2021021, Université catholique de Louvain, Institute of Statistics, Biostatistics and Actuarial Sciences (ISBA).

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    More about this item

    Keywords

    Confidence band estimation; Demand for a risky asset; Expectation dependence; First-order risk aversion; Hoeffding’s inequality;
    All these keywords.

    JEL classification:

    • C14 - Mathematical and Quantitative Methods - - Econometric and Statistical Methods and Methodology: General - - - Semiparametric and Nonparametric Methods: General
    • C13 - Mathematical and Quantitative Methods - - Econometric and Statistical Methods and Methodology: General - - - Estimation: General
    • D81 - Microeconomics - - Information, Knowledge, and Uncertainty - - - Criteria for Decision-Making under Risk and Uncertainty

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