804. Bilinear form test statistics for extremum estimation

Working paper N. 804 Giugno 2019

Federico Crudu

DEPS, USiena

Felipe Osorio

Departamento de Matematica, Universidad Técnica Federico Santa Maria, Chile

Abstract

This paper develops a set of test statistics based on bilinear forms in the context of the extremum estimation framework. We show that the proposed statistic converges to a conventional chi-square limit. A Monte Carlo experiment suggests that the test statistic works well in finite samples.
 
Keywords
Extremum estimation, Gradient statistic, Bilinear form test, Nonlinear hypothesis.
 
Jel Codes
C12, C14, C69.