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Indirect Inference for Locally Stationary Models

David Frazier, Bonsoo Koo

arXiv 5 Jun 2019 · Econometrics · publishedJournal of Econometrics (2020) · 4 citations (OpenAlex)

arXiv:1906.01768 · PDF · DOI · OpenAlex · Extracted main text

Abstract

We propose the use of indirect inference estimation to conduct inference in complex locally stationary models. We develop a local indirect inference algorithm and establish the asymptotic properties of the proposed estimator. Due to the nonparametric nature of locally stationary models, the resulting indirect inference estimator exhibits nonparametric rates of convergence. We validate our methodology with simulation studies in the confines of a locally stationary moving average model and a new locally stationary multiplicative stochastic volatility model. Using this indirect inference methodology and the new locally stationary volatility model, we obtain evidence of non-linear, time-varying volatility trends for monthly returns on several Fama-French portfolios.

Citation extraction

39
references
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in-text mentions
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distinct cited
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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
1Dahlhaus, R. and Subba Rao, S (2006) Statistical inference for time-varying arch processes0.9285380%
2Gourieroux, C., Monfort, A., and Renault, E (1993) Indirect inference0.92843100%
3Koo, B. and Linton, O (2015) Let's get lade: Robust estimation of semiparametric multiplicative volatility models self0.87462100%
4Engle, R. and Rangel, J (2008) The spline-garch model for low-frequency volatility and its global macroeconomic causes0.81142100%
5Dahlhaus, R., Richter, S., Wu, W. B., et al (2019) Towards a general theory for nonlinear locally stationary processes0.81142100%
6Kristensen, D. and Lee, Y. J (2019) Local polynomial estimation of time-varying parameters in nonlinear models0.81142100%
7Koo, B. and Linton, O (2012) Estimation of semiparametric locally stationary diffusion models self0.7373367%
8Dahlhaus, R. and Polonik, W (2009) Empirical spectral processes for locally stationary time series0.73732100%
9Paparoditis, E. and Politis, D. N (2002) Local block bootstrap0.64422100%
10Vogt, M (2012) Nonparametric regression for locally stationary time series0.64422100%

Showing the top 10 of 39 scored citations.