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Simulation Based Bayes Procedures for Model Structures with Non-Elliptical Posteriors

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International Encyclopedia of Statistical Science

The financial market turmoil has been shocking the world since early 2008. As is aptly stated by the president of the European Central Bank, Trichet (2008), the widespread undervaluation of risk is one of the most important issues in this context and appropriate operational risk management is a crucial issue to be investigated. A seemingly unrelated issue is to measure and predict the treatment effect of education on income. This issue is crucial for any country that increasingly relies on the “knowledge economy. ” In recent research by the authors it is stressed that these seemingly unrelated issues pose similar questions and have common components from a modeling and statistical viewpoint.

Simulation Based Bayes Procedures for Model Structures with Non-Elliptical Posteriors. Figure 1
figure 197

Posterior density of π (expected difference in years of education between children born in April-December and January-March) and β(treatment effect of education on income) for 29,015 data (used by...

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References and Further Reading

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  • Ardia D, Hoogerheide LF, Van Dijk HK (2009b) AdMit: adaptive mixtures of student-t distributions. The R Journal 1(1):25–30

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  • Ardia D, Hoogerheide LF, Van Dijk HK (2009c) Adaptive mixture of Student-t distributions as a flexible candidate distribution for efficient simulation: the R package AdMit. J Stat Softw 29(3):1–32

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  • Hoogerheide LF (2006) Essays on neural network sampling methods and instrumental variables. Ph.D. thesis, Book nr. 379 of the Tinbergen Institute Research Series, Erasmus University Rotterdam

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  • Hoogerheide LF, Van Dijk HK (2006) A reconsideration of the Angrist-Krueger analysis on returns to education. Report 2006-15 of the Econometric Institute, p 35

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  • Hoogerheide LF, Van Dijk HK (2010) Bayesian forecasting of value at risk and expected shortfall using adaptive importance sampling. Int J Forecasting, 26:231–247

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Hoogerheide, L., van Dijk, H.K. (2011). Simulation Based Bayes Procedures for Model Structures with Non-Elliptical Posteriors. In: Lovric, M. (eds) International Encyclopedia of Statistical Science. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-642-04898-2_520

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