We found a match
Your institution may have access to this item. Find your institution then sign in to continue.
- Title
A Comment on: "On the Informativeness of Descriptive Statistics for Structural Estimates" by Isaiah Andrews, Matthew Gentzkow, and Jesse M. Shapiro.
- Authors
Kitamura, Yuichi
- Abstract
AGS20 advocate the use of HT <math altimg="urn:x-wiley:00129682:media:ecta200222:ecta200222-math-0028" display="block" xmlns="http://www.w3.org/1998/Math/MathML"><mi mathvariant="normal"> </mi><mo>=</mo><mfrac><mstyle displaystyle="true"><mrow><msub><mrow><mi> </mi></mrow><mrow><mi>c</mi><mi> </mi></mrow></msub><msubsup><mrow><mi> </mi></mrow><mrow><mi> </mi><mi> </mi></mrow><mrow><mn>-1</mn></mrow></msubsup><msub><mrow><mi> </mi></mrow><mrow><mi> </mi><mi>c</mi></mrow></msub></mrow></mstyle><mstyle displaystyle="true"><mrow><msubsup><mrow><mi> </mi></mrow><mrow><mi>c</mi></mrow><mrow><mn>2</mn></mrow></msubsup></mrow></mstyle></mfrac><mo>,</mo></math> ht which is the ratio of these two maximal asymptotic biases of I ^c i . The three distributions stay together within a HT <math altimg="urn:x-wiley:00129682:media:ecta200222:ecta200222-math-0042" display="inline" xmlns="http://www.w3.org/1998/Math/MathML"><msqrt><mi>n</mi></msqrt></math> ht neighborhood by the functional CLT, effectively satisfying the restriction (ii-a). We will introduce a constrained empirical CDF HT <math altimg="urn:x-wiley:00129682:media:ecta200222:ecta200222-math-0059" display="inline" xmlns="http://www.w3.org/1998/Math/MathML"><msubsup><mrow><mover accent="true"><mi>F</mi><mo> </mo></mover></mrow><mrow><mi>n</mi></mrow><mrow><mi mathvariant="normal">r</mi></mrow></msubsup></math> ht and consider a plug-in estimator HT <math altimg="urn:x-wiley:00129682:media:ecta200222:ecta200222-math-0060" display="inline" xmlns="http://www.w3.org/1998/Math/MathML"><msup><mrow><mi>^c</mi></mrow><mrow><mi mathvariant="normal">r</mi></mrow></msup><mo>=</mo><mi>C</mi><mo>(</mo><msubsup><mrow><mover accent="true"><mi>F</mi><mo> </mo></mover></mrow><mrow><mi>n</mi></mrow><mrow><mi mathvariant="normal">r</mi></mrow></msubsup><mo>)</mo></math> ht .
- Subjects
DESCRIPTIVE statistics; ASYMPTOTIC efficiencies; GENERALIZED method of moments
- Publication
Econometrica, 2020, Vol 88, Issue 6, p2265
- ISSN
0012-9682
- Publication type
Article
- DOI
10.3982/ECTA18788