2013
DOI: 10.2139/ssrn.2313431
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Non- and Semi-Parametric Panel Data Models: A Selective Review

Abstract: This article provides a selective review on the recent developments of some nonlinear nonparametric and semiparametric panel data models. In particular, we focus on two types of modelling frameworks: nonparametric and semiparametric panel data models with deterministic trends, and semiparametric single-index panel data models with individual effects. We also review various estimation methodologies which can consistently estimate both the parametric and nonparametric components in these models. The time series … Show more

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Cited by 5 publications
(5 citation statements)
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“…Note that Su and Ullah () and Chen et al . () focus on similar models, although in this case we include the most recent results and pay special attention to the so‐called incidental parameters problem as well as with endogenous explanatory variables.…”
Section: Resultsmentioning
confidence: 99%
See 1 more Smart Citation
“…Note that Su and Ullah () and Chen et al . () focus on similar models, although in this case we include the most recent results and pay special attention to the so‐called incidental parameters problem as well as with endogenous explanatory variables.…”
Section: Resultsmentioning
confidence: 99%
“…Meanwhile, in Chen et al . () this type of models are studied when deterministic trends and single‐index specifications are present.…”
Section: Introductionmentioning
confidence: 99%
“…The varying coefficient model considered here is therefore part of the already long tradition of research on semiparametric estimation of partially linear varying coefficient panel data models 6 which allow flexibility to characterize trending phenomenon in nonlinear panel data analysis. Some use semiparametric profile likelihood methods (Chen et al (2012), Li et al (2013), kernel or averaged local linear estimation (Li et et al (2011)). In the spirit of works on semiparametric partially linear model using series estimation methods (Huang et al (2002), Fan and Li (2004), Qu and Li (2006), Fan et al (2007), An et al (2016) for instance), we use a Bayesian linear-mixed Gaussian model-based penalized spline specification with random coefficients proposed by Lee and Wand (2016).…”
Section: Introductionmentioning
confidence: 99%
“…,Chen et al (2012),Zhang et al (2012)) or on nonparametric models with fixed effects(Li et al (2011),Lee and Robinson (2015)). The literature on the subject is important and is growing rapidly (see the surveys ofLi and Racine (2007),Ai and Li (2008),Su and Ullah (2011),Chen et al (2013),Sun et al (2015b),Rodriguez-Poo and Soberon (2017) and also the special issue of the Journal of Econometrics, edited by, to mention a few.…”
mentioning
confidence: 99%
“…For nonparametric and semiparametric panel data models with fixed effects, a growing strand of literature has emerged during the last years, including Baltagi and Li (2002), Su and Ullah (2006), Henderson et al (2008) and Mammen et al (2009). Extensive literature reviews are provided by Su and Ullah (2011) and Chen et al (2013). While having different concepts to handle the fixed effects and strictly parametric effects, all discussed methods have in common that they rely on some kind of kernel estimator to estimate the nonparametric model components.…”
Section: Introductionmentioning
confidence: 99%