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Confidence band for expectation dependence with applications

Xu Guo and Jingyuan Li

Insurance: Mathematics and Economics, 2016, vol. 68, issue C, 141-149

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.

Keywords: Confidence band estimation; Demand for a risky asset; Expectation dependence; First-order risk aversion; Hoeffding’s inequality (search for similar items in EconPapers)
JEL-codes: C13 C14 D81 (search for similar items in EconPapers)
Date: 2016
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Citations: View citations in EconPapers (3)

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Persistent link: https://EconPapers.repec.org/RePEc:eee:insuma:v:68:y:2016:i:c:p:141-149

DOI: 10.1016/j.insmatheco.2015.09.012

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Insurance: Mathematics and Economics is currently edited by R. Kaas, Hansjoerg Albrecher, M. J. Goovaerts and E. S. W. Shiu

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