Abstract
We consider the estimation of a one-dimensional parameter in a linear model with an ultra-high number of independent variables. We argue that the standard assumptions on the design matrix are essentially technical and can be relaxed. Conversely, the assumptions on the sparsity of the nuisance parameters are unverifiable, too strong, and unavoidable.
Original language | English |
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Pages (from-to) | 1180-1183 |
Number of pages | 4 |
Journal | Test |
Volume | 32 |
Issue number | 4 |
DOIs |
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State | Published - Dec 2023 |
Externally published | Yes |
Bibliographical note
Publisher Copyright:© 2023, The Author(s) under exclusive licence to Sociedad de Estadística e Investigación Operativa.
Keywords
- Compatibility
- Identifiability
- Ultra high dimension
- Verification