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Quasi-Bayesian Local Projection Instrumental-Variables Method: Application to Renewable Energy and Electricity Prices

Masahiro Tanaka

arXiv 15 May 2026 · Econometrics

arXiv:2605.15966 · PDF · DOI · OpenAlex · Extracted main text

Abstract

This paper introduces a quasi-Bayesian approach for local projection instrumental-variables (LP-IV) estimation. It builds a moment-based quasi-posterior using the generalized method of moments (GMM) objective and applies a roughness-penalty prior to smooth impulse responses over different horizons. The approach maintains the key first-order features of traditional LP-IV methods, while enhancing stability in finite samples and allowing for joint inference through simultaneous bands. Simulations indicate that this regularization decreases root mean squared error compared to standard GMM, especially at medium and longer horizons. An application to Danish electricity markets highlights the method's practical usefulness.

Citation extraction

44
references
65
in-text mentions
44
distinct cited
1
self-citations
9,600
main-text words

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Most heavily cited references

The works this paper leans on most, across its whole bibliography — not restricted to papers in our corpus. Ranked by composite intensity, which combines how often a work is mentioned, how many sections mention it, and how much of that falls in the main text rather than the appendix.

ReferenceIntensityMentionsSectionsMain text
1Chernozhukov, V. & Hong, H (2003) An MCMC Approach to Classical Estimation1.00053100%
2Hirth, L (2013) The market value of variable renewables: The effect of solar wind power variability on their relative price0.73732100%
3Barnichon, R. & Matthes, C (2018) Functional approximation of impulse responses0.64422100%
4Barnichon, R. & Brownlees, C (2019) Impulse response estimation by smooth local projections0.64422100%
5Clò, S., Cataldi, A., & Zoppoli, P (2015) The merit-order effect in the Italian power market: The impact of solar and wind generation on national wholesale electricity pr…0.64422100%
6El-Shagi, M (2019) A simple estimator for smooth local projections0.64422100%
7Pfenninger, S. & Staffell, I (2016) Long-term patterns of European PV output using 30 years of validated hourly reanalysis and satellite data0.64422100%
8Piger, J. & Stockwell, T (2025) Differences from Differencing: Should Local Projections with Observed Shocks Be Estimated in Levels or Differences?0.64422100%
9Sensfu, F., Ragwitz, M., & Genoese, M (2008) The merit-order effect: A detailed analysis of the price effect of renewable electricity generation on spot market prices in Ger…0.64422100%
10Staffell, I. & Pfenninger, S (2016) Using bias-corrected reanalysis to simulate current and future wind power output0.64422100%

Showing the top 10 of 44 scored citations.