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Fitting the errors-in-variables model using high-order cumulants and moments

Author

Listed:
  • Timothy Erickson

    (US Bureau of Labor Statistics)

  • Robert Parham

    (University of Rochester)

  • Toni M. Whited

    (University of Michigan)

Abstract

In this article, we consider a multiple mismeasured regressor errors-in-variables model. We present xtewreg, a command for using two-step generalized method of moments and minimum distance estimators that exploit overidentify- ing information contained in high-order cumulants or moments of the data. The command supports cumulant or moment estimation, internal support for the boot- strap with moment condition recentering, an arbitrary number of mismeasured regressors and perfectly measured regressors, and cumulants or moments up to an arbitrary degree. We also demonstrate how to use the estimators in the context of a corporate leverage regression.

Suggested Citation

  • Timothy Erickson & Robert Parham & Toni M. Whited, 2017. "Fitting the errors-in-variables model using high-order cumulants and moments," Stata Journal, StataCorp LP, vol. 17(1), pages 116-129, March.
    • Handle: RePEc:tsj:stataj:v:17:y:2017:i:1:p:116-129
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    Citations

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    Cited by:

    1. Livdan, Dmitry & Nezlobin, Alexander, 2021. "Investment, capital stock, and replacement cost of assets when economic depreciation is non-geometric," Journal of Financial Economics, Elsevier, vol. 142(3), pages 1444-1469.
    2. Doron Israeli & Ron Kaniel & Suhas A. Sridharan, 2022. "The Real Side of the High-Volume Return Premium," Management Science, INFORMS, vol. 68(2), pages 1426-1449, February.
    3. Mostafa Monzur Hasan & Adrian (Wai‐Kong) Cheung & Lidia Tunas & Hung Wan Kot, 2021. "Firm life cycle and trade credit," The Financial Review, Eastern Finance Association, vol. 56(4), pages 743-771, November.
    4. Mauricio Jara‐Bertín & Cristian Pinto‐Gutiérrez & Carlos Pombo, 2021. "The effect of intra‐group loans on the cash flow sensitivity of cash: Evidence from Chile," International Review of Finance, International Review of Finance Ltd., vol. 21(2), pages 374-403, June.
    5. Mostafa Monzur Hasan & Grantley Taylor & Grant Richardson, 2022. "Brand Capital and Stock Price Crash Risk," Management Science, INFORMS, vol. 68(10), pages 7221-7247, October.
    6. Chang Liu & Maoyong Fan, 2024. "Stock market and the psychological health of investors," The Financial Review, Eastern Finance Association, vol. 59(3), pages 561-587, August.
    7. Enzo Dia & Marco Rispoli, 2022. "Investment, Implicit Debt Targets and Debt Maturity," CRANEC - Working Papers del Centro di Ricerche in Analisi economica e sviluppo economico internazionale crn2204, Università Cattolica del Sacro Cuore, Centro di Ricerche in Analisi economica e sviluppo economico internazionale (CRANEC).
    8. Krug, Gerhard & Prechsl, Sebastian, 2022. "Do changes in network structure explain why unemployment damages health? Evidence from German panel data," Social Science & Medicine, Elsevier, vol. 307(C).

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