2011
DOI: 10.1080/00949655.2010.495073
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Errors-in-variables estimation with wavelets

Abstract: This paper proposes a wavelet (spectral) approach to estimate the parameters of a linear regression model where the regressand and the regressors are persistent processes and contain a measurement error. We propose a wavelet filtering approach which does not require instruments and yields unbiased estimates for the intercept and the slope parameters. Our Monte Carlo results also show that the wavelet approach is particularly effective when measurement errors for the regressand and the regressor are serially co… Show more

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Cited by 24 publications
(7 citation statements)
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“…In addition, wavelets have also been used in economic and financial forecasting (see the studies by Michis 2014bMichis , 2015bMichis and Guy 2017;Rua 2017;Caraiani 2017;Risse 2019), econometric estimation (Michis and Sapatinas 2007;Gençay and Gradojevi 2011;Gilles et al 2009;Jensen 2000) and testing (Hong and Kao 2004;Fan and Gençay 2010;Gençay and Signori 2015), as well as in filtering-denoising applications (Fleming et al 2000;Capobianco 2003;Bruzda 2014;Michis 2011). Rua and Nunes (2009) analyzed international comovements between economic sector returns over different time scales.…”
Section: Literature Reviewmentioning
confidence: 99%
“…In addition, wavelets have also been used in economic and financial forecasting (see the studies by Michis 2014bMichis , 2015bMichis and Guy 2017;Rua 2017;Caraiani 2017;Risse 2019), econometric estimation (Michis and Sapatinas 2007;Gençay and Gradojevi 2011;Gilles et al 2009;Jensen 2000) and testing (Hong and Kao 2004;Fan and Gençay 2010;Gençay and Signori 2015), as well as in filtering-denoising applications (Fleming et al 2000;Capobianco 2003;Bruzda 2014;Michis 2011). Rua and Nunes (2009) analyzed international comovements between economic sector returns over different time scales.…”
Section: Literature Reviewmentioning
confidence: 99%
“…The missing data are concentrated either at the beginning of the sample or in coincidence with war periods (for several European countries). For countries with missing data within the sample, such as Belgium, Germany, Spain, France, Netherlands, and Norway, co-integration analysis was performed using a wavelet-based approximation of the aggregate series, which yielded unbiased and consistent estimates for the intercept and slope parameters, as in Ramsey et al (2010), Gencay andGradejovic (2011), andRamsey (2012). In particular, wavelet multi-resolution decomposition analysis, by returning at each step a set of averages (along with a set of differences between adjacent averages) based on different window lengths, allowed us to obtain a collection of approximations of the original signal, from finer (S 1 ) to coarser (S 4 ) resolution levels.…”
Section: Dataset and Literaturementioning
confidence: 99%
“…Then, we extend our result to the model with Fourier-oscillating noises by developing Delaigle-Meister's technique (Delaigle and Meister 2011) from one-dimensional to multidimensional cases. Wavelet estimators are widely used in regression estimation (Li et al 2008;Chesneau 2010;Gencay and Gradojevic 2011;Chaubey et al 2013). We finally study the strong consistency of wavelet estimators.…”
Section: Introductionmentioning
confidence: 99%