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Estimation of MIDAS Regressions with Errors-in-the-Variables

Sukhbir Kaur, Sukhbir Singh, Kanchan Jain, Pooja Soni

arXiv 25 Apr 2026 · Statistics — Methodology

arXiv:2604.23469 · PDF · DOI · OpenAlex · Extracted main text

Abstract

In this paper, a Mixed Data Sampling (MIDAS) model is studied when both low and high frequency variables are contaminated with measurement error. It is shown that the profile likelihood estimator becomes inconsistent in the presence of measurement error. Using the corrected score approach along with profile likelihood approach, a consistent estimator for parameters of MIDAS Measurement Error model is proposed. Small and large sample properties of the estimator are examined by performing a monte carlo simulation study and considering the effect of sample size, number of lags and profiling parameter.

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24
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36
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distinct cited
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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
1Ghysels, Eric and Qian, Hang (2019) Estimating MIDAS regressions via OLS with polynomial parameter profiling1.00096100%
2Ghysels, Eric and Sinko, Arthur and Valkanov, Rossen (2007) MIDAS Regressions: Further Results and New Directions0.92843100%
3Nakamura, Tsuyoshi (1990) Corrected score function for errors-in-variables models0.64422100%
4Singh, Sukhbir and Jain, Kanchan and Sharma, Suresh (2012) Using stochastic prior information in consistent estimation self0.40511100%
5Ghysels, Eric and Santa-Clara, Pedro and Valkanov, Rossen (2004) The MIDAS Touch: Mixed Data Sampling Regression Models0.40511100%
6Dolby, G. R (1976) The ultrastructural relation: A synthesis of the functional and structural relations0.40511100%
7Staudenmayer, John and Buonaccorsi, John (2005) Measurement Error in Linear Autoregressive Models0.40511100%
8Andreou, Elena and Ghysels, Eric and Kourtellos, Andros (2007) Regression Models With Mixed Sampling Frequencies0.40511100%
9Cheng, Chi-Lun and Kukush, Alexander (2006) Non-Existence of the First Moment of the Adjusted Least Squares Estimator0.40511100%
10Gleser, Leon J (1992) The Importance of Assessing Measurement Reliability0.40511100%

Showing the top 10 of 24 scored citations.