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- Title
Reply to: Comments on "On the Informativeness of Descriptive Statistics for Structural Estimates".
- Authors
Andrews, Isaiah; Gentzkow, Matthew; Shapiro, Jesse M.
- Abstract
Correspondingly, a given distribution I F i may now be consistent with a set HT <math altimg="urn:x-wiley:00129682:media:ecta200224:ecta200224-math-0021" display="inline" xmlns="http://www.w3.org/1998/Math/MathML"><msup><mrow><mi mathvariant="script">C</mi></mrow><mrow><mi>N</mi></mrow></msup><mo>(</mo><mi>F</mi><mo>)</mo></math> ht of possible values of I c i .[4] Importantly, though not in general a singleton, for bounded HT <math altimg="urn:x-wiley:00129682:media:ecta200224:ecta200224-math-0023" display="inline" xmlns="http://www.w3.org/1998/Math/MathML"><mi mathvariant="script">N</mi></math> ht the set HT <math altimg="urn:x-wiley:00129682:media:ecta200224:ecta200224-math-0024" display="inline" xmlns="http://www.w3.org/1998/Math/MathML"><msup><mrow><mi mathvariant="script">C</mi></mrow><mrow><mi>N</mi></mrow></msup><mo>(</mo><mi>F</mi><mo>)</mo></math> ht will typically be limited in size. This alternative relaxation is not nested by the one we define based on bounded neighborhoods HT <math altimg="urn:x-wiley:00129682:media:ecta200224:ecta200224-math-0025" display="inline" xmlns="http://www.w3.org/1998/Math/MathML"><mi mathvariant="script">N</mi></math> ht . The set HT <math altimg="urn:x-wiley:00129682:media:ecta200224:ecta200224-math-0026" display="inline" xmlns="http://www.w3.org/1998/Math/MathML"><msup><mrow><mi mathvariant="script">C</mi></mrow><mrow><mi>N</mi></mrow></msup><mo>(</mo><mi>F</mi><mo>)</mo></math> ht tells us which values of I c i are consistent with the complete distribution of the observed data.
- Subjects
DESCRIPTIVE statistics; ELECTRONIC newspapers; ESTIMATES; COMMERCIAL statistics; CONSUMERS' surplus
- Publication
Econometrica, 2020, Vol 88, Issue 6, p2277
- ISSN
0012-9682
- Publication type
Article
- DOI
10.3982/ECTA18786