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Estimation of and testing for random effects in dynamic panel data models

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  • Jianhong Wu
  • Lixing Zhu

Abstract

In this article, estimation of moments up to the fourth order of random effects and errors is first investigated for dynamic panel data models. Using the QR decomposition of a matrix, the moments of random individual effects and errors are estimated without affecting each other so that the estimation procedure is simple to implement, and the asymptotic behavior of estimation is derived. On the basis of these estimations, we construct a test for the existence of individual effects. This test is asymptotically normally distributed under the null hypothesis without any distributional assumptions on the individual effects and errors other than moments. A power study shows that our test is able to detect local alternatives that are distinct from the null at a parametric rate. Monte Carlo simulations are carried out for illustration. Copyright Sociedad de Estadística e Investigación Operativa 2012

Suggested Citation

  • Jianhong Wu & Lixing Zhu, 2012. "Estimation of and testing for random effects in dynamic panel data models," TEST: An Official Journal of the Spanish Society of Statistics and Operations Research, Springer;Sociedad de Estadística e Investigación Operativa, vol. 21(3), pages 477-497, September.
    • Handle: RePEc:spr:testjl:v:21:y:2012:i:3:p:477-497
    DOI: 10.1007/s11749-011-0259-x
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    References listed on IDEAS

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    Cited by:

    1. Lu, Xun & Su, Liangjun, 2020. "Determining individual or time effects in panel data models," Journal of Econometrics, Elsevier, vol. 215(1), pages 60-83.
    2. 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.
    3. Montes-Rojas Gabriel & Sosa-Escudero Walter & Zincenko Federico, 2020. "Level-Based Estimation of Dynamic Panel Models," Journal of Econometric Methods, De Gruyter, vol. 9(1), pages 1-23, January.

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