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Specification testing for binary choice model via maximum score

delete2026-05-01
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PRE
AI
Y
Y. Ota *
T
Taisuke Otsu
DOI:10.1016/j.econlet.2026.112929delete
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Abstract

Abstract

En 中文
This paper proposes a Hausman-type statistic to the test specification of a parametric binary choice model by comparing the maximum likelihood estimator and the maximum score estimator. Although the convergence rates are different, it is still meaningful to compare these estimators to detect misspecification of parametric models. A simulation study illustrates that the proposed test offers better size properties than the conventional information matrix test, and exhibits reasonable power against common forms of misspecification, such as heavy-tailed distributions and heteroskedasticity.
Keywords:
Binary choice
Cube root asymptotics
Maximum score
Specification testing

Journal

E
Economics Letters
IF:
1.8
Papers:
345
Citations:
0

Organization

L
london school economics & political science
Scholars:
138
Papers: 115
Citations: 0
K
keio university
Scholars:
3.5K
Papers: 1.4K
Citations: 0