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Estimation with Errors in Variables via the Characteristic Function*

H Malloch, R Philip and S Satchell

Journal of Financial Econometrics, 2023, vol. 21, issue 3, 616-650

Abstract: Errors in variables in linear regression continue to be a significant empirical issue in financial econometrics. We propose using the characteristic function (CF) to obtain estimates for linear models with errors in the variables. By assuming that the explanatory variable follows a flexible double gamma distribution, we obtain closed-form expressions for the analytic CF of the data generating process. We show that our method performs well relative to existing techniques that address error-in-variables (EIVs) through simulations. We further extend our CF technique to a multivariate setting where it continues to produce accurate estimates. We illustrate the performance of our procedure by estimating the capital asset pricing model and a two-factor model.

Keywords: beta; CAPM; characteristic function; error-in-variables (search for similar items in EconPapers)
JEL-codes: C13 C22 C58 G12 (search for similar items in EconPapers)
Date: 2023
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