arXiv 17 Oct 2018 · Econometrics · publishedJournal of Applied Econometrics (2026) · 2 citations (OpenAlex)
arXiv:1810.07620 · PDF · DOI · OpenAlex · Extracted main text
This paper develops a consistent heteroskedasticity robust Lagrange Multiplier (LM) type specification test for semiparametric conditional mean models. Consistency is achieved by turning a conditional moment restriction into a growing number of unconditional moment restrictions using series methods. The proposed test statistic is straightforward to compute and is asymptotically standard normal under the null. Compared with the earlier literature on series-based specification tests in parametric models, I rely on the projection property of series estimators and derive a different normalization of the test statistic. Compared with the recent test in Gupta (2018), I use a different way of accounting for heteroskedasticity. I demonstrate using Monte Carlo studies that my test has superior finite sample performance compared with the existing tests. I apply the test to one of the semiparametric gasoline demand specifications from Yatchew and No (2001) and find no evidence against it.
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The works this paper leans on most, across its whole bibliography — not restricted to papers in our corpus. Ranked by composite intensity, which combines how often a work is mentioned, how many sections mention it, and how much of that falls in the main text rather than the appendix.
| Reference | Intensity | Mentions | Sections | Main text | |
|---|---|---|---|---|---|
| 1 | Gupta, A (2018) Nonparametric specification testing via the trinity of tests | 1.000 | 19 | 5 | 100% |
| 2 | Yatchew, A. and J. A. No (2001) Household Gasoline Demand in Canada | 1.000 | 11 | 5 | 100% |
| 3 | Li, Q. and J. S. Racine (2007) Nonparametric Econometrics: Theory and Practice | 1.000 | 9 | 4 | 100% |
| 4 | Donald, S. G., G. W. Imbens, and W. K. Newey (2003) Empirical likelihood estimation and consistent tests with conditional moment restrictions | 1.000 | 8 | 4 | 100% |
| 5 | Hong, Y. and H. White (1995) Consistent Specification Testing Via Nonparametric Series Regression | 1.000 | 5 | 4 | 100% |
| 6 | Guay, A. and E. Guerre (2006) A Data-Driven Nonparametric Specification Test for Dynamic Regression Models | 0.843 | 3 | 3 | 100% |
| 7 | Wooldridge, J (1987) A Regression-Based Lagrange Multiplier Statistic that is Robust in the Presence of Heteroskedasticity, Working papers 478, Massa… | 0.843 | 3 | 3 | 100% |
| 8 | Newey, W. K (1997) Convergence rates and asymptotic normality for series estimators | 0.737 | 3 | 2 | 100% |
| 9 | Chen, X (2007) Large Sample Sieve Estimation of Semi-Nonparametric Models, in | 0.644 | 2 | 2 | 100% |
| 10 | de Jong, R. M. and H. J. Bierens (1994) On the Limit Behavior of a Chi-Square Type Test If the Number of Conditional Moments Tested Approaches Infinity | 0.644 | 2 | 2 | 100% |
Showing the top 10 of 35 scored citations.
arXiv econ.EM papers that cite this one, ranked by how heavily they lean on it.
| Citing paper | Intensity | Mentions | Sections | |
|---|---|---|---|---|
| 1 | Wald inference on varying coefficients | 0.405 | 1 | 1 |
| 2 | Testing linearity of spatial interaction functions à la Ramsey | 0.000 | 1 | 1 |