LIMIT THEORY FOR LOCALLY FLAT FUNCTIONAL COEFFICIENT REGRESSION Article Swipe
Peter C.B. Phillips
,
Ying Wang
·
YOU?
·
· 2022
· Open Access
·
· DOI: https://doi.org/10.1017/s0266466622000287
YOU?
·
· 2022
· Open Access
·
· DOI: https://doi.org/10.1017/s0266466622000287
Functional coefficient (FC) regressions allow for systematic flexibility in the responsiveness of a dependent variable to movements in the regressors, making them attractive in applications where marginal effects may depend on covariates. Such models are commonly estimated by local kernel regression methods. This paper explores situations where responsiveness to covariates is locally flat or fixed. The paper develops new asymptotics that take account of shape characteristics of the function in the locality of the point of estimation. Both stationary and integrated regressor cases are examined. The limit theory of FC kernel regression is shown to depend intimately on functional shape in ways that affect rates of convergence, optimal bandwidth selection, estimation, and inference. In FC cointegrating regression, flat behavior materially changes the limit distribution by introducing the shape characteristics of the function into the limiting distribution through variance as well as centering. In the boundary case where the number of zero derivatives tends to infinity, near parametric rates of convergence apply in stationary and nonstationary cases. Implications for inference are discussed and a feasible pre-test inference procedure is proposed that takes unknown potential flatness into consideration and provides a practical approach to inference.
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- Type
- article
- Language
- en
- Landing Page
- https://doi.org/10.1017/s0266466622000287
- https://www.cambridge.org/core/services/aop-cambridge-core/content/view/D97C81EC940483C0052C4034401D25A1/S0266466622000287a.pdf/div-class-title-limit-theory-for-locally-flat-functional-coefficient-regression-div.pdf
- OA Status
- hybrid
- Cited By
- 3
- References
- 23
- Related Works
- 10
- OpenAlex ID
- https://openalex.org/W3208132930
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https://openalex.org/W3208132930Canonical identifier for this work in OpenAlex
- DOI
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https://doi.org/10.1017/s0266466622000287Digital Object Identifier
- Title
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LIMIT THEORY FOR LOCALLY FLAT FUNCTIONAL COEFFICIENT REGRESSIONWork title
- Type
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articleOpenAlex work type
- Language
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enPrimary language
- Publication year
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2022Year of publication
- Publication date
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2022-07-14Full publication date if available
- Authors
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Peter C.B. Phillips, Ying WangList of authors in order
- Landing page
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https://doi.org/10.1017/s0266466622000287Publisher landing page
- PDF URL
-
https://www.cambridge.org/core/services/aop-cambridge-core/content/view/D97C81EC940483C0052C4034401D25A1/S0266466622000287a.pdf/div-class-title-limit-theory-for-locally-flat-functional-coefficient-regression-div.pdfDirect link to full text PDF
- Open access
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YesWhether a free full text is available
- OA status
-
hybridOpen access status per OpenAlex
- OA URL
-
https://www.cambridge.org/core/services/aop-cambridge-core/content/view/D97C81EC940483C0052C4034401D25A1/S0266466622000287a.pdf/div-class-title-limit-theory-for-locally-flat-functional-coefficient-regression-div.pdfDirect OA link when available
- Concepts
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Mathematics, Inference, Applied mathematics, Asymptotic distribution, Limit (mathematics), Parametric statistics, Mathematical optimization, Econometrics, Statistics, Mathematical analysis, Computer science, Estimator, Artificial intelligenceTop concepts (fields/topics) attached by OpenAlex
- Cited by
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3Total citation count in OpenAlex
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2025: 1, 2023: 1, 2021: 1Per-year citation counts (last 5 years)
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23Number of works referenced by this work
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10Other works algorithmically related by OpenAlex
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| abstract_inverted_index.inference | 168, 175 |
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| abstract_inverted_index.potential | 182 |
| abstract_inverted_index.practical | 189 |
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| abstract_inverted_index.centering. | 141 |
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| abstract_inverted_index.regression, | 116 |
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| abstract_inverted_index.applications | 24 |
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| abstract_inverted_index.cointegrating | 115 |
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| cited_by_percentile_year.min | 89 |
| corresponding_author_ids | https://openalex.org/A5076177583 |
| countries_distinct_count | 2 |
| institutions_distinct_count | 2 |
| corresponding_institution_ids | https://openalex.org/I79891267 |
| sustainable_development_goals[0].id | https://metadata.un.org/sdg/10 |
| sustainable_development_goals[0].score | 0.6499999761581421 |
| sustainable_development_goals[0].display_name | Reduced inequalities |
| citation_normalized_percentile.value | 0.63668421 |
| citation_normalized_percentile.is_in_top_1_percent | False |
| citation_normalized_percentile.is_in_top_10_percent | False |