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Estimation of moments for linear panel data models with potential existence of time effects

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  • Wu, Jianhong
  • Su, Weihua

Abstract

In econometric analysis of panel data, one always doesn't have enough information to assure the existence/absence of time effects, which can lead to wrong conclusions in statistical inference such as moment estimation and hypothesis testing. In this paper, estimation of second and fourth order moments of the individual effects and the errors are studied for linear panel data models without information on the existence/absence of time effects. With differences of the residuals over the individual index, the orthogonality-based moment estimators of the random individual effects and the errors are respectively obtained without affecting each other. These moment estimators are robust on the potential existence of time effects. Their asymptotic normalities are obtained under some moment conditions. Monte Carlo simulations are carried out for illustration.

Suggested Citation

  • Wu, Jianhong & Su, Weihua, 2010. "Estimation of moments for linear panel data models with potential existence of time effects," Statistics & Probability Letters, Elsevier, vol. 80(23-24), pages 1933-1939, December.
    • Handle: RePEc:eee:stapro:v:80:y:2010:i:23-24:p:1933-1939
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    Cited by:

    1. Chen, Jing & Yue, Rongxian & Wu, Jianhong, 2020. "Testing for individual and time effects in the two-way error component model with time-invariant regressors," Economic Modelling, Elsevier, vol. 92(C), pages 216-229.
    2. Wu, Jianhong, 2016. "Robust random effects tests for two-way error component models with panel data," Economic Modelling, Elsevier, vol. 59(C), pages 1-8.
    3. Wu, Jianhong & Li, Guodong, 2014. "Moment-based tests for individual and time effects in panel data models," Journal of Econometrics, Elsevier, vol. 178(P3), pages 569-581.
    4. Mariano Ruiz Espejo & Miguel Delgado Pineda & Saralees Nadarajah, 2013. "Optimal unbiased estimation of some population central moments," METRON, Springer;Sapienza Università di Roma, vol. 71(1), pages 39-62, June.

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